Free Printable 4TH QUARTERLY ASSESSMENT STATISTICS AND PROBABILITY

1.

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

a)

Fail to reject the null hypothesis

b)

Fail to reject the alternative hypothesis

c)

Reject the null hypothesis

d)

Reject the alternative hypothesis

2.

Last year, a pineapple company in Davao grew pineapples that weighed an average of 876 grams. The company installed a new irrigation system hoping that this year’s crop of pineapples would be larger than 876 grams. What is the appropriate alternative hypotheses.

a)

H_A: µ < 876 grams

b)

H_A: µ = 876 grams

c)

H_A: $\mu\ne$ 876 grams

d)

H_A: µ > 876 grams

3.

Which of the following represents the appropriate alternative hypotheses?
The mean height of women is greater than 64"

a)

H_A: p > 64"

b)

H_A: μ > 64"

c)

H_A: μ $\le$ 64"

d)

H_A: p $\ne$ 64"

4.

At the Chrysler manufacturing plant, there is a part that is supposed to weigh precisely 19 pounds. The engineers take a sample of parts and want to know if they meet the weight specifications. What are our null and alternative hypotheses?

a)

H₀ : μ = 17

H_A : μ ≠ 17

b)

H₀ : μ = 19

H_A : μ ≠ 17

c)

H₀ : μ = 19

H_A : μ ≠ 19

d)

H₀ : μ = 17

H_A : μ ≠ 19

5.

Which of the following statements is true:

I. A Type I error occurs when the null hypothesis is correct, but we rejected the null.

II. A Type II error occurs when the null hypothesis is correct, but we rejected the null.

a)

I only

b)

II only

c)

both I and II

d)

none

6.

When writing the null hypothesis, which number should you set equal to?

a)

The reported/claimed mean.

b)

The sample size.

c)

The sample mean.

d)

The standard deviation.

7.

If the p-value is greater than 5% you should....

a)

Reject the null.

b)

Fail to reject the null.

8.

A principal at his school is worried that his students are below average intelligence. A random sample of 30 students' IQ scores has a mean of 96. Given that IQ scores are normally distributed with a mean of 100 and standard deviation of 15, he wonders if there is sufficient evidence to support his claim. What is the alternative hypothesis?

a)

$\mu\ne100$

b)

µ < 96

c)

µ = 100

d)

µ < 100

9.

P-hat can be found by:

a)

x-bar

b)

x/n

c)

z*

d)

n > 30

10.

. The null hypothesis ALWAYS contains a(n)

a)

>

b)

$\ne$

c)

=

d)

<

11.

The weight of an average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weigh 18.4 lbs. What is the null and alternative hypothesis?

a)

H₀ : µ = 18.4

H_A : µ = 18.4

b)

H₀ : p = 18.4

H_A : p 18.4

c)

H₀ : µ = 18.4

H_A : µ > 18.4

d)

H₀ : µ = 18.4

H₀ : µ $\ne$ 18.4

12.

A car manufacturer advertises that its new subcompact models gets 47 mpg. A consumer suspects that they are overestimating the gas mileage. If µ is the mileage of these cars, what could be the alternative hypothesis if we wanted to check if the car's mpg is overrated?

a)

HA : µ $\ne$ 47

b)

HA : p < 47

c)

HA : µ < 47

d)

µ > 47

13.

Which of these are statistical hypotheses? (Choose all that apply)

a)

Alternative Hypothesis

b)

Test Hypothesis

c)

Significance Hypothesis

d)

Null Hypothesis

14.

Which hypothesis states that there is no difference between two parameters?

a)

Point Hypothesis

b)

Alternative Hypothesis

c)

Significance Hypothesis

d)

Null Hypothesis

15.

. If the null hypothesis is false then which of the following is accepted?

a)

Alternative Hypothesis

b)

Null Hypothesis

c)

Positive Hypothesis

d)

Negative Hypothesis

16.

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

a)

reject the null

b)

reject the alternative

c)

fail to reject the null

d)

fail to reject the alternative

17.

When p-value is greater than alpha we:

a)

Accept H₀

b)

Accept H_A

c)

Fail to reject H₀

d)

Reject H₀

18.

A random sample of students at a college shows that 54 of 200 students had part-time jobs. We want to see if the proportion of all college students with part time jobs is greater than the national average.

a)

1 sample t-test

b)

1 prop t-test

c)

1 prop z-test

d)

1 sample z-test

19.

Small p-values mean that our sample was very unlikely if the null hypothesis is true. Therefore, small p-values are ________________ that the null hypothesis is wrong.

a)

convincing evidence

b)

believable proof

c)

reliable information

d)

justifiable inference

20.

The symbol for the significance level is ____.

a)

$\alpha$

b)

$\theta$

c)

$\pi$

d)

$\mu$

21.

The drying supervisor uses the new method on a random sample of 200 boards. She conducts a hypothesis test on her sample data and gets a p-value of .027. Based on the p-value , was there convincing evidence that the new method is better? Use α = 0.05.

a)

Since our p-value of 0.027 is < α, we reject the null hypothesis. We have convincing evidence that the new method is better.

b)

Since our p-value of 0.027 is >undefined , we fail to reject the null hypothesis. We do not have convincing evidence that the new method is better.

22.

A test of hypothesis is always about

a)

a population parameter

b)

a sample statistic

c)

a test statistic

23.

If the p-value is large, then, assuming the null is true, the sample is not unusual , so we ______ the null and there _________ that the alternative hypothesis is true.

a)

fail to reject, is NOT convincing evidence

b)

fail to reject, IS convincing evidence

c)

reject, is NOT convincing evidence

d)

reject, IS convincing evidence

24.

Given the following hypotheses, identify the type of tail test. H₀: μ = k; H₁: μ > k

a)

Left-tailed test

b)

Right-tailed test

c)

two-tailed test

25.

Consider the situation below.

According to the latest WHO data published in 2015 the average life expectancy in the Philippines is 68.5 years. A random sample of 25 recorded deaths in Santa Fe showed a mean life of 70 years with standard deviation of 7 years. Does this seem to indicate that the life span in Santa Fe is not equal to 68.5 years?

Which is an alternative hypothesis (H_A) of the problem?

a)

µ < 68.5 years

b)

µ > 68.5 years

c)

µ = 68.5 years

d)

µ $\ne$ 68.5 years

26.

Consider the situation below.

According to the latest WHO data published in 2015 the average life expectancy in the Philippines is 68.5 years. A random sample of 25 recorded deaths in Santa Fe showed a mean life of 70 years with standard deviation of 7 years. Does this seem to indicate that the life span in Santa Fe is not equal to 68.5 years?

Using the table of values, what is the critical value for the problem?

a)

1.711

b)

1.708

c)

2.064

d)

2.060

27.

Consider the situation below.

According to the latest WHO data published in 2015 the average life expectancy in the Philippines is 68.5 years. A random sample of 25 recorded deaths in Santa Fe showed a mean life of 70 years with standard deviation of 7 years. Does this seem to indicate that the life span in Santa Fe is not equal to 68.5 years?

What is the CORRECT interpretation of the results if the computed value is 1.071?

a)

The life span in Santa Fe is significantly equal to 68.5 years

b)

The life span in Santa Fe is significantly greater than 68.5 years

c)

The life span in Santa Fe is significantly less than 68.5 years

d)

There is not enough information to draw a conclusion

28.

Which decisions generalize a CORRECT action regarding a given null hypothesis?

I. The null hypothesis is rejected when it is true.

II. The null hypothesis is rejected when it is false.

III. The null hypothesis is accepted when it is true.

a)

I and II

b)

I and III

c)

II and III

d)

I, II and III

29.

According to the Department of Energy, oil product demand in the Philippines is estimated at 479,433 barrels per day in 2019. It was claimed that the demand will grow in the year 2020. What is the appropriate null hypothesis (H₀) to test the claim)?

a)

$\mu=479,433$

b)

$\mu\ne479,433$

c)

$\mu\ge479,433$

d)

$\mu\le479,433$

30.

Which is NOT a correct generalization about the null hypothesis (H₀) and the alternative hypothesis (H_A) of a significance test.

a)

H₀ involves equality

b)

H_A involves inequality

c)

H₀andH_Aoverlap

d)

H₀andH_A do not overlap

31.

The value of the coefficient of correlation r lies between:

a)

0 and 1

b)

-1 and 0

c)

1 and +1

d)

-0.5 and +0.5

32.

What graph best shows correlation?

a)

Bar Graph

b)

Histogram

c)

Ogive

d)

Scatterplot

33.

As x increases, y decreases.

a)

no correlation

b)

correlation coefficient

c)

negative correlation

d)

positive correlation

34.

What would the correlation be between math grades and the time it takes to run a mile?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

d)

Cannot Be Determined

35.

Amount of education and amount of income

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

36.

State the independent variable (x) and dependent variable (y) for the case below:

Daily calorie consumption and body weight (kg)

a)

A) x = Daily calorie consumption, y = body weight

b)

A) x = Daily calorie consumption, y = body weight

37.

State the correlation between number of days absent from school and mathematics marks

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

38.

State the independent variable (x) and dependent variable (y) for the case below:

The age of respondent and blood pressure

a)

A) x = age of respondent, y = blood pressure

b)

B) x = blood pressure, y = age of respondent

39.

The linear regression equation is y = 61.93x - 1.79. According to the model, the slope can be interpreted as:

a)

After 0 hours of driving, they went 61.93 miles.

b)

They drove at a speed of 61.93 miles per hour.

c)

They drove 61.93 miles total.

d)

They drove 61.93 hours total

40.

. If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day. y = -60x+6443

a)

₱4403

b)

₱4584

c)

₱4673

d)

₱8303

41.

This refers to an intelligent guess about a population parameter.

a)

Decision

b)

Hypothesis

c)

Rejection

d)

Significance

42.

It is the starting point of the investigation in hypothesis testing.

a)

Alpha Level

b)

Rejection Region

c)

Null Hypothesis

d)

Alternative Hypothesis

43.

What is the symbol that can be used to denote the probability of committing Correct Decision A?

a)

𝛼

b)

𝛽

c)

1 − 𝛼

d)

1 − 𝛽

44.

The calculations in determining rejection region can be graphically represented by using _____________.

a)

Bar Graph

b)

Straight Line

c)

Normal Curve

d)

Cartesian Plane

45.

It is called the critical Region

a)

P (type II error) = ß

b)

Ho = parameter = specific value Ha = parameter < specific value

c)

Rejection region

d)

Ho = parameter = specific value Ha = parameter ≠ specific value

46.

What is the term for the probability of making an incorrect decision about the null hypothesis

a)

Level of acceptance

b)

Level of error

c)

Level of hypothesis

d)

Level of significance

47.

Which of the following describes an alternative hypothesis using two-tailed test?

a)

An alternative hypothesis using a two-tailed test states that there is no difference between the groups being compared.

b)

An alternative hypothesis using a two-tailed test states that there is a difference between the groups being compared, without specifying the direction of the difference.

c)

An alternative hypothesis using a two-tailed test specifies the exact magnitude of the difference between the groups.

d)

An alternative hypothesis using a two-tailed test only considers one group for comparison.

48.

Which of the following describes an alternative hypothesis in a left-tailed test?

a)

The alternative hypothesis in a left-tailed test describes that the population parameter is less than the hypothesized value.

b)

The alternative hypothesis states that the population parameter is within a specific range around the hypothesized value.

c)

The alternative hypothesis states that the population parameter is equal to the hypothesized value.

d)

The alternative hypothesis states that the population parameter is greater than the hypothesized value.

49.

When is a Type I error committed?

a)

We reject a null hypothesis that is true.

b)

We reject a null hypothesis that is false.

c)

We fail to reject a null hypothesis that is true.

d)

We fail to reject a null hypothesis that is false.

50.

When is a Type II error committed?

a)

We reject a null hypothesis that is true.

b)

We reject a null hypothesis that is false.

c)

We fail to reject a null hypothesis that is true.

d)

We fail to reject a null hypothesis that is false.

51.

Which of the following population parameters is used a s symbol for the mean or average population?

a)

theta (θ)

b)

sigma (σ)

c)

mu (μ)

d)

lambda (λ)

52.

Which of the following statements best describes a parameter?

a)

It describes the sample.

b)

It describes the population.

c)

It describes the hypothesis.

d)

It describes the researcher.

53.

What is the parameter that represents the average height of a one-year-old child as 29 inches?

a)

a one-year-old child

b)

the mean height of 33 inches

c)

the average height of 29 inches

d)

a random sample of 30 children

54.

What statistical test should be used when the sample size is extremely large and the variance is known according to the Central Limit Theorem?

a)

Chi-square test

b)

ANOVA

c)

T-test

d)

Z-test

55.

What appropriate tool is applicable if the population is normal, sample standard deviation is known, and sample is less than 30?

a)

T-test

b)

Chi-square test

c)

ANOVA

d)

Z-test

56.

Which of the following is NOT a consideration in using z – test/statistic?

a)

Variance is known.

b)

The population mean is less than 30.

c)

Sample standard deviation is known.

d)

Population standard deviation is known.

57.

What part of the population with a particular trait is expressed in decimal, percent, or fraction?

a)

Sample

b)

Population

c)

Sample Proportion

d)

Population Proportion

58.

What is the part of the proportion of individuals in a sample sharing a certain trait?

a)

Sample

b)

Population

c)

Sample Proportion

d)

Population Proportion

59.

In what terms is the relationship of the variables in a scatter plot described?

a)

shape, trend, and variance

b)

mean, median, and mode

c)

form, trend, and variation

d)

form, direction, and standard deviation

60.

What aspect of the points around the trend line on a scatter plot is associated with the strength of the correlation?

a)

Closeness of the points to the trend line

b)

Distance between the points

c)

Size of the points

d)

Color of the points

4TH QUARTERLY ASSESSMENT STATISTICS AND PROBABILITY

Total questions: 60

Worksheet time: 36mins

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