Free Printable the ultimate test

1.

Which of the following would be an appropriate null hypothesis?

a)

The mean of a population is equal to 50.

b)

The mean of a sample is equal to 50.

c)

The mean of a population is greater than 50.

d)

None of the choices

2.

Which of the following would be an appropriate null hypothesis?

a)

The population proportion is less than 0.45.

b)

The sample proportion is less than 0.45.

c)

The population proportion is no less than 0.45

d)

The sample proportion is no less than 0.45.

3.

Which of the following would be an appropriate alternative hypothesis?

a)

The mean of a population is equal o 50.

b)

The mean of a sample is equal to 50.

c)

The mean of a sample is greater than 50.

d)

The mean of a sample is greater than 50.

4.

Which of the following would be an appropriate alternative hypothesis?

a)

The population proportion is less than 0.45

b)

The sample proportion is less than 0.45.

c)

The population proportion is no less than 0.45.

d)

The sample proportion is no less than 0.45.

5.

A Type II error is committed when

a)

we reject a null hypothesis that is true

b)

we don't reject a null hypothesis that is true

c)

we reject a null hypothesis that is false

d)

we don't reject a null hypothesis that is false

6.

A Type I error is committed when

a)

we reject a null hypothesis that is true

b)

we don't reject a null hypothesis that is true

c)

we reject a null hypothesis that is false

d)

we don't reject a null hypothesis that is false

7.

Suppose we wish to test $H_0:\ \mu\le47$ versus $H_1:\ \mu>47$ . What will be the result if we conclude that the mean is greater than 47 when its true value is really 52?

a)

We have made a Type I error.

b)

We have made a Type II error.

c)

We have made a correct decision.

d)

None of the choices is correct

8.

If, as a result of a hypothesis test, we reject the null hypothesis when it is false, then we have committed

a)

a Type II error

b)

a Type I error

c)

no error

d)

an acceptance error

9.

The owner of a local restaurant has recently surveyed a random sample of $n=250$ customers of the restaurant. She would now like to determine whether or not the mean age of her customers is over 30. If so, she planned to provide background music to appeal to an older crowd. If not, then no changes would be made to the background music in the restaurant. The appropriate hypotheses to test are:

a)

$H_0:\ \mu\ \ge30\$ versus $H_1:\ \mu\ <30$

b)

$H_0:\ \mu\le30$ versus $H_1:\ \mu\ >30$

c)

$H_0:\ \overline{X}\ge30$ versus $H_1:\ \overline{X}\ <30$

d)

$H_0:\ \overline{X}\ \le30$ versus $H_1:\ \overline{X}\ >30$

10.

A major telco is considering opening a new telecom centre in an area that currently does not have any such renters. The telco will open the centre if there is evidence that more that more than 5,000 of the 20,000 households in the area use the telco. It conducts a poll of 300 randomly selected households in the area and finds that 96 subscribe to the telco. State the test of interest to the rental chain.

a)

$H_0:\ p\ \le0.32\$ versus $H_1:\ p>0.32$

b)

$H_0:\ p\ \le0.25\$ versus $\ H_1:\ p>0.25$

c)

$H_0:\ p\ \le5,000\$ versus $H_1:\ p>5,000$

d)

$H_0:\ \mu\le5,000\$ versus $H_1:\ \mu>5,000$

11.

Which of the following shows a right-tailed test?

a)

Ha: µ < 15

b)

H₀: µ < 15

c)

Ha: µ > 15

d)

H₀: µ > 15

12.

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

a)

using a small level of significance

b)

using a large level of significance

c)

obtaining data with a small p-value

d)

obtaining data with a low test statistic

13.

A P-value indicates:

a)

the probability that the null hypothesis is true

b)

the probability that the alternative hypothesis is true

c)

the probability of obtaining the results (or one more extreme) if the null hypothesis is true

d)

probability of a Type I error

14.

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

a)

a) Reject the null hypothesis

b)

b) Reject the alternative hypothesis

c)

c) Fail to reject the null hypothesis

d)

d) Fail to reject the alternative hypothesis

15.

When p-value is greater than alpha we:

a)

Reject Ho

b)

Fail to reject Ha

c)

Fail to reject Ho

d)

Reject Ha

16.

Define a Type I error?

a)

The failure to reject a false null hypothesis

b)

Rejecting a true null hypothesis

c)

The acceptance to reject a null hypothesis

d)

Accepting a true null hypothesis

17.

When do you use a t-value instead of a z-value?

a)

When n < 30

b)

When n ≥ 30

c)

When all of the planets align

d)

When Ms. O said to

18.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

19.

H₀: μ = k

H₁: μ ≠ k

a)

Left-tailed test

b)

Two-tailed test

c)

Right-tailed test

20.

H₀: μ = k

H₁: μ > k

a)

Left-tailed test

b)

Right-tailed test

21.

A __________ occurs if you accept the null hypothesis when it is false.

a)

Type I error

b)

Type II error

22.

A __________ occurs if you reject the null hypothesis when it is true.

a)

Type I error

b)

Type II error

23.

What is the 5 steps procedure for hypothesis testing?

a)

1) State the hypotheses and identify the claim

2) Find the critical value

3) Compute the test value

4) Summarize the results

5) Make the decision (reject or not reject)

b)

1) State the hypotheses and identify the claim

2) Compute the test value

3) Find the critical value

4) Make the decision (reject or not reject)

5) Summarize the results

c)

1) State the hypotheses and identify the claim

2) Find the critical value

3) Compute the test value

4) Make the decision (reject or not reject)

5) Summarize the results

24.

A level of significance of 5% means:

a)

There's a 5% chance we're wrong

b)

There's a 5% chance we'll be wrong if we fail to reject the null hypothesis

c)

There's a 5% chance we'll be wrong if we reject the null hypothesis.

d)

There's a 5% chance you'll get an A on the test.

25.

A manufacturer claims that his tires last at least 40,000

miles. A test on 25 tires reveals that the mean life of a tire

is 39,750 miles, with a standard deviation of 387 miles.

Test the Manufacturer’s claim at α = .01.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

26.

In performing a hypothesis test where the null

hypothesis is that the μ = 6.9. A random sample of 16

items is selected. The sample mean is 7.1 and the sample

standard deviation is 2.4. It can be assumed that the

population is normally distributed at α = .05.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

27.

A fast food outlet claims that the mean waiting time in

line is less than 1.9 minutes. A random sample of 20

customers has a mean of 1.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim using P-values.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

28.

A fast food outlet claims that the mean waiting time in

line is less than 3.5 minutes. A random sample of 20

customers has a mean of 3.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

29.

The following are assumptions for ANOVA except:

a)

Variance must be homogenous

b)

There should be 4 or more independent groups

c)

Data must be normally distributed

d)

Randomly selected

30.

What is the sum of the variation due to the differences in the sample means for the different groups?

(a)

31.

In statistics it means “leftover variability”, that is “stuff” that the model can’t explain.

a)

error

b)

residual

c)

mistake

d)

failure

32.

What are the assumptions of the residual or error terms of an ANOVA model?

a)

Errors are normally distributed and variance is constant.

b)

Variance is constant and the mean is 0.

c)

Errors are normally distributed, the mean is zero, and the variance is constant.

33.

The "eta' squared, under the ‘Effect Size’ option means that:

a)

There is no relationship at all between the two variables.

b)

The value of relations between two variables,

c)

There is a relationship between two variables.

d)

None of the above

34.

What type of analysis you will use in ANOVA to determine which groups are significantly different from one another

(a)

35.

Which one-way ANOVA statistical test to use to verify the homogeneity of variance assumption?

a)

Welch Test

b)

Levene's test

c)

Holm correction

d)

None of the above

36.

Which one-way ANOVA statistical test to use when the homogeneity of variance assumption is violated?

a)

Welch Test

b)

Levene's test

c)

Holm correction

d)

None of the above

37.

Which test to use to check the normality assumption of One-way ANOVA?

a)

Bonferroni Test

b)

QQ Plot

c)

Shapiro-Wilk Test

d)

Kruskal-Wallis rank sum Test

38.

Which test to use to address violations of the normality assumption in One-way ANOVA?

a)

Bonferroni Test

b)

QQ Plot

c)

Shapiro-Wilk Test

d)

Kruskal-Wallis rank sum Test

39.

What are the two kinds of variations with respect to the ANOVA discussion?

a)

between-group sum of squares

b)

within-group sum of squares

c)

Total sum of squares

d)

Standard deviation

e)

Variance

40.

It is a statistical method of testing for significant differences between three or more groups where the same participants are used in each group (or each participant is closely matched with participants in other experimental groups).

a)

One-way repeated measures ANOVA test

b)

One-way ANOVA test

c)

Factorial ANOVA

d)

None of the above

41.

Which test to use in a one-way repeated measures to know if the variances of the differences between the conditions are equal

a)

Mauchhly's test of Sphericity

b)

Friedman ANOVA test

c)

Huynh-Feldt corection

d)

Greenhouse-Geisser correction

42.

The following are assumptions for ANOVA except:

a)

Variance must be homogenous

b)

There should be 4 or more independent groups

c)

Data must be normally distributed

d)

Randomly selected

43.

ANOVA testing is used for ...

a)

Test for one mean

b)

Test for two means

c)

Test for three or more means

d)

Test for independence between two variables

44.

Determine whether the following scenario should use a one-way ANOVA test or two-way ANOVA test:

A researcher want to determine whether there is an interaction between physical activity level and gender on blood cholesterol concentration in children.

a)

one-way ANOVA test

b)

two-way ANOVA test

45.

Determine whether the following scenario should use a one-way ANOVA test or two-way ANOVA test:

A group of psychiatric patients are trying three different therapies: counseling, medication and biofeedback. They want to see if one therapy is better than the others.

a)

one-way ANOVA test

b)

two-way ANOVA test

46.

ANOVA stands for ...

a)

Analysis of Variation

b)

Analysis of Variance

c)

Analysis of Variability

d)

A Non-Visual Analysis

47.

Determine whether the following scenario should use a one-way ANOVA test or two-way ANOVA test:

A nutritionist is studying the effects of diet on cholesterol in men and women. She has data which reports cholesterol levels for men and women for three different diets (low-fat low calorie, Adkins diet, Mediterranean diet).

a)

one-way ANOVA test

b)

two-way ANOVA test

48.

This test is the nonparametric alternative of One-Way ANOVA often used when the level of measurement is ordinal.

a)

Kruskal-Wallis Test

b)

Wilcoxon Test

c)

Mann-Whitney U Test

d)

Binomial Test of Equality

49.

Which is NOT Assumptions and Design Consideration for One-Way ANOVA

a)

Normal distributed population

b)

Independence of error

c)

Homogeneity of viscoscity

d)

Data scale

50.

Given Null hypothesis H0: µ1 = µ2 = µ3 ……….. µk. What does the "K" stand for?

a)

Number of levels

b)

Number of row data

c)

Number of column data

d)

Number of variables

51.

Given the alternative hypothesis Ha: µ1 ≠ µ2 ≠ µ3 ≠ …….. µk. Which are the correct interpretations?

a)

The population mean is not same in all the groups

b)

At least one group is different from another

c)

Population means and hypothesized valueare equal

d)

The population mean is same in all the groups

52.

This test is used when comparing groups on two different categorical variables which focuses on the interpreting main effects and interaction effects.

a)

One-way ANOVA

b)

Two-way ANOVA

c)

One-way t-Test

d)

Two-way t-Test

53.

In two-way ANOVA, this effect is where the factorial analysis looks for significant changes in the dependent variable as a result of two or more of the independent variables working together

a)

Main Effect

b)

Sub Effect

c)

Interaction Effect

d)

Outcome Effect

54.

In two-way ANOVA, this effect is where the use of two-way ANOVA permits the evaluation of each independent variable’s effects on the dependent variable

a)

Main Effect

b)

Sub Effect

c)

Interaction Effect

d)

Outcome Effect

55.

A corn farmer is interested in reducing the number of days it takes for his corn to silk. He has decided to set up a controlled experiment that manipulates the nominal variable “fertilizer,” having two categories: 1 = limestone and 2 = nitrogen. Another nominal variable is “soil type,” with two categories: 1 = silt and 2 = peat.

What is the dependent variable?

a)

Number of Days until the corn begins to silk - Scale

b)

Fertilizer (With categories: Limestone and Nitrogen) - Nominal

c)

Soil Type (With categories Silt and Peat) - Nominal

56.

A corn farmer is interested in reducing the number of days it takes for his corn to silk. He has decided to set up a controlled experiment that manipulates the nominal variable “fertilizer,” having two categories: 1 = limestone and 2 = nitrogen. Another nominal variable is “soil type,” with two categories: 1 = silt and 2 = peat.

What factorial anova best describes this scenario?

a)

2x2 Factorial Anova

b)

2x4 Factorial Anova

c)

4x4 Factorial Anova

57.

A corn farmer is interested in reducing the number of days it takes for his corn to silk. He has decided to set up a controlled experiment that manipulates the nominal variable “fertilizer,” having two categories: 1 = limestone and 2 = nitrogen. Another nominal variable is “soil type,” with two categories: 1 = silt and 2 = peat.

What factorial anova best describes this scenario?

a)

2x2 Factorial Anova

b)

2x4 Factorial Anova

c)

4x4 Factorial Anova

58.

A corn farmer is interested in reducing the number of days it takes for his corn to silk. He has decided to set up a controlled experiment that manipulates the nominal variable “fertilizer,” having two categories: 1 = limestone and 2 = nitrogen. Another nominal variable is “soil type,” with two categories: 1 = silt and 2 = peat.

What "are" the independent variables?

a)

Number of Days until the corn begins to silk - Scale

b)

Fertilizer (With categories: Limestone and Nitrogen) - Nominal

c)

Soil Type (With categories Silt and Peat) - Nominal

59.

A social media analyst whats to find out if the use of social media (low, medium, high) can affect the difference of hours of sleep per night. The analyst plans to use one-way ANOVA for this test.

What would be your independent variable?

a)

Social Media Use (Categories: Low, Medium, High) - Nominal

b)

Difference in Hours of Sleep per Nights (Scale)

c)

Social Media Use (Categories: Low, Medium, High) - Scale

d)

Difference in Hours of Sleep per Nights (Nominal)

60.

A social media analyst whats to find out if the use of social media (low, medium, high) can affect the difference of hours of sleep per night. The analyst plans to use one-way ANOVA for this test.

What would be your dependent variable?

a)

Social Media Use (Categories: Low, Medium, High) - Nominal

b)

Hours of Sleep per Nights (Scale)

c)

Social Media Use (Categories: Low, Medium, High) - Scale

d)

Hours of Sleep per Nights (Nominal)

61.

When determining whether any of the differences between the means are statistically significant, you will compare the p-value to your significance level to assess the null hypothesis.

Which of the following statements is true?

a)

P-value ≤ α: The differences between some of the means are statistically significant

b)

P-value > α: The differences between some of the means are statistically significant

c)

P-value ≤ α: The differences between some of the means are not statistically significant

62.

What is the expected value of a female who likes Pepsi?

a)

10.5

b)

11

c)

14.5

d)

6.3

63.

What is the

χ²_calculatedvaluefor the following situation.

a)

6.65

b)

6.66

c)

0.00991

d)

1

64.

If the χ²_criticalvalue= 5.99 and the

χ²_calculatedvalue = 7.35, what is the conclusion

a)

Reject Ho, accept H1

b)

Accept Ho, reject H1

c)

there is not enough info to decide

d)

The conclusion can only be made if we also know the p-value

65.

What is the null hypothesis?

a)

Injury type is independent of position played

b)

Injury type is dependent on the position played independent

c)

Injury type is correlated to position played.

66.

What are the degrees of freedom for the following χ² test?

a)

6

b)

2

c)

5

d)

12

67.

If we are testing at a 5% significance level and our p-value is 0.00453, what is the conclusion?

a)

Accept Ho

b)

Reject Ho

c)

We need to know chi-squared

d)

You cannot do this problem without a calculator

68.

Testing at a 5% significance level, what are the correct rejection inequalities. (check all that apply)

a)

$if\ X_{calc}^2>5.99\ then\ reject\ Ho$

b)

$if\ X_{calc}^2<5.99\ then\ reject\ Ho$

c)

if p < 0.05, then reject Ho

d)

if p>0.05, then reject Ho

69.

Find the chi-squared calculated value for the table.

a)

0.486170447

b)

1.442392006

c)

1.45

d)

2

70.

Given that a student is male, what is the probability that maths is their favorite?

a)

0.491

b)

0.225

c)

0.443

d)

.508

71.

Chi-squared tests are invalid if:

a)

The calculated number is really large

b)

One of the expected values is less than 5

c)

One of the observed values is less than 5

d)

The calculated numbers is really small

72.

For a p-value from the calculator of 1.32355E-3 what would the conclusion be if testing at 10% significance level?

a)

Accept Ho

b)

Reject H1

c)

Reject Ho

d)

Need to know the chi-squared number

73.

Who is this?

a)

FDR

b)

Herman Munster

c)

Mitch McConnell

d)

JFK

e)

Dr. Phil Abucket

74.

What is the

χ²_calculatedvaluefor the following situation.

a)

6.65

b)

6.66

c)

0.00991

d)

1

75.

If the χ²_criticalvalue= 5.99 and the

χ²_calculatedvalue = 7.35, what is the conclusion

a)

Reject Ho, accept H1

b)

Accept Ho, reject H1

c)

there is not enough info to decide

d)

The conclusion can only be made if we also know the p-value

76.

What is the null hypothesis?

a)

Injury type is independent of position played

b)

Injury type is dependent on the position played independent

c)

Injury type is correlated to position played.

77.

What are the degrees of freedom for the following χ² test?

a)

6

b)

2

c)

5

d)

12

78.

If we are testing at a 5% significance level and our p-value is 0.00453, what is the conclusion?

a)

Accept Ho

b)

Reject Ho

c)

We need to know chi-squared

d)

You cannot do this problem without a calculator

79.

Testing at a 5% significance level, what are the correct rejection inequalities. (check all that apply)

a)

$if\ X_{calc}^2>5.99\ then\ reject\ Ho$

b)

$if\ X_{calc}^2<5.99\ then\ reject\ Ho$

c)

if p < 0.05, then reject Ho

d)

if p>0.05, then reject Ho

80.

Find the chi-squared calculated value for the table.

a)

0.486170447

b)

1.442392006

c)

1.45

d)

2

81.

Chi-squared tests are invalid if:

a)

The calculated number is really large

b)

One of the expected values is less than 5

c)

One of the observed values is less than 5

d)

The calculated numbers is really small

82.

For a p-value from the calculator of 1.32355E-3 what would the conclusion be if testing at 10% significance level?

a)

Accept Ho

b)

Reject H1

c)

Reject Ho

d)

Need to know the chi-squared number

83.

What must be true about the expected values in a chi square test?

a)

greater than or equal to 2

b)

greater than or equal to 5

c)

greater than or equal to 10

d)

greater than or equal to 30

84.

If the χ²_criticalvalue= 5.99 and the

χ²_calculatedvalue = 7.35, what is the conclusion

a)

Reject Ho

b)

Do not reject Ho

c)

there is not enough info to decide

d)

The conclusion can only be made if we also know the p-value

85.

Describe the correlation in the graph shown.

a)

A) Strong Negative

b)

B) Strong Positive

c)

C) Weak Negative

d)

D) No Correlation

86.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

87.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

88.

What is the best definition of the least squares regression line?

a)

The line that minimizes the squares of the horizontal distances between the data points and the line.

b)

The line that minimizes the squares of the vertical distances between the data points and the line.

c)

The line that minimizes the vertical distances between the data points and the line.

d)

The line that passes through the most number of data points.

89.

Which of the following statistics show how much variance there is between y–values and x–values?

a)

Coefficient of Determination

b)

Slope of the Regression Line

c)

Standard Deviation

d)

Variance

90.

What type of correlation does this graph show?

a)

A) Positive

b)

B) negative

c)

C) none

d)

D) all of the above

91.

A residual is

a)

the difference between the squares of predicted values in a LSRL and data points on a scatterplot

b)

the difference between the observed x–value and the predicted x–value.

c)

the difference between the predicted x–value and the observed x–value.

d)

the difference between the observed y–value and the predicted y–value.

92.

As x increases, y increases

a)

A) correlation coefficient

b)

B) causation

c)

C) positive correlation

d)

D) negative correlation

93.

What is the correlation of the LSRL for the points (3, 4), and (5, 2)?

a)

–1

b)

0

c)

1

d)

Neither 0, 1, –1

94.

A perfectly negative correlation

a)

implies a coefficient of determination of –1.0.

b)

means that there must be a slope of –1.0.

c)

says that for every one additional unit of the variable on the x–axis, the variable on the y–axismust move down one additional unit.

d)

means that the r–value is is exactly 1.0.

95.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

96.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

97.

Describe the correlation in the graph shown.

a)

A) Strong Negative

b)

B) Strong Positive

c)

C) Weak Negative

d)

D) No Correlation

98.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

99.

What type of correlation does this graph show?

a)

A) Positive

b)

B) negative

c)

C) none

d)

D) all of the above

100.

As x increases, y decreases.

a)

A) no correlation

b)

B) negative correlation

c)

C) correlation coefficient

d)

D) positive correlation

101.

Which of the following statistics show how much variance there is between y–values and x–values?

a)

Coefficient of Determination

b)

Slope of the Regression Line

c)

Standard Deviation

d)

Variance

102.

What is the best definition of the least squares regression line?

a)

The line that minimizes the squares of the horizontal distances between the data points and the line.

b)

The line that minimizes the squares of the vertical distances between the data points and the line.

c)

The line that minimizes the vertical distances between the data points and the line.

d)

The line that passes through the most number of data points.

103.

Which of the following is the least–square regression line for this data?

a)

y = 3.85 – 0.01x

b)

y = 4.09 – 0.32x

c)

y = 6.30 – 0.59x

d)

y = 8.18 – 0.64x

104.

An influential observation is most often

a)

larger than most other values in the y–direction

b)

larger than most other values in the x–direction

c)

not an outlier

d)

an outlier in the x direction

105.

A residual is

a)

the difference between the squares of predicted values in a LSRL and data points on a scatterplot

b)

the difference between the observed x–value and the predicted x–value.

c)

the difference between the predicted x–value and the observed x–value.

d)

the difference between the observed y–value and the predicted y–value.

the ultimate test

Total questions: 105

Worksheet time: 3hrs 37mins

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