Free Printable Hypothesis Testing

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Hypothesis Testing

Total questions: 50

Worksheet time: 3hrs 30mins

Name

Class

Date

What is an one-sample t-test used for?

Comparing means from a sample and a population

Comparing means from two separate samples

Comparing means from two related samples

Comparing means from more than two samples

What t-test type compares the means for two groups?

Paired Samples

Independent

Dependent

Mixed

Which does NOT describe a dependent t-test?

It is also known as Paired Sample Test.

It compares the median of the same group.

It compares the mean of the same group.

It compares data from different times.

Which best describes a t-test?

It is a type of descriptive statistics.

It is used to determine if there are significant differences.

It can be used as long as the data is not normally distributed

All of the above.

What is an independent t-test used for?

Comparing means from a sample and a population

Comparing means from two separate samples

Comparing means from two related samples

Comparing means from more than two samples

Which is true?

P-Value < 0.05 - there's statistical difference

P-Value < 0.05 - there's no statistical difference

P-Value > 0.05 - there's statistical difference

None of the above

Select the correct SPSS path for doing independent sample t-test

Analyze - Compare means - One sample T test

Analyze - Compare means - Independent Samples T test

Analyze - Descriptive Statistics - One sample T test

Analyze - Compare means - Paired Samples T test

Which t-test would be used for this example?

'Measuring patients' blood sugar before and after they eat a meal'.

One sample t-test

Matched-samples t-test

Dependent t-test

Variance t-test

Which t-test would be used for this example?

'Comparing employee satisfaction at Company A and Company B'.

One sample t-test

Independent t-test

Dependent t-test

Variance t-test

10.

Which t-test would be used for this example?

'Comparing the GPA of students in this class to the average GPA at CSUSB'

One sample t-test

Independent t-test

Dependent t-test

Variance t-test

11.

Which t-test would be used for this example?

'Comparing reading scores for a classroom of 3rd grade students to a classroom of 5th grade students'

One sample t-test

Independent t-test

Dependent t-test

Variance t-test

12.

Which t-test would be used for this example?

'Comparing students' reading skills from when they are in 3rd grade to 5th grade'

One sample t-test

Independent t-test

Dependent t-test

Variance t-test

13.

What is a one-sample t-test used for?

Comparing means from a sample and a population

Comparing means from two separate samples

Comparing means from two related samples

Comparing means from more than two samples

14.

What is an independent t-test used for?

Comparing means from a sample and a population

Comparing means from two separate samples

Comparing means from two related samples

Comparing means from more than two samples

15.

What is a dependent t-test used for?

Comparing means from a sample and a population

Comparing means from two separate samples

Comparing means from two related samples

Comparing means from more than two samples

16.

120 Brand X oil filters and 90 Brand Y oil filters were tested for milligrams of residue, with the following results. Find a 95% confidence interval for μY - μX.

(0.96, 1.44)

B) (0.92, -0.96)

C) (-1.44, -0.96)

D) (-1.84, -0.56)

E) (0.92, 1.48)

17.

A survey was conducted to determine the difference in gasoline mileage for two types of trucks. A random sample was taken for each model of truck, and the mean gasoline mileage, in miles per gallon, was calculated. A 98% confidence interval for the difference in the mean mileage for model A trucks and the mean mileage for model B trucks, μ_{A -}μ_B was determined to be (2.6, 4.5)

Based on this sample, we are 98% confident that the average mileage for model B trucks is between 2.6 and 4.5 miles per gallon higher than the average mileage for model A trucks.

We know that 98% of model A trucks get mileage that is between 2.6 and 4.5 miles per gallon higher than model B trucks.

Based on this sample, we are 98% confident that the average mileage for model A trucks is between 2.6 and 4.5 miles per gallon higher than the average mileage for model B trucks.

We are 98% confident that a randomly selected model A truck will get mileage that is between 2.6 and 4.5 miles per gallon higher than a randomly selected model B truck.

We know that 98% of all random samples done on the population of trucks will show that the average mileage for model A trucks is between 2.6 and 4.5 miles per gallon higher than the average mileage for model B trucks.

18.

A grocery store is interested in determining whether or not a difference exists between the shelf life of Tasty Choice doughnuts and Sugar Twist doughnuts. A random sample of 100 boxes of each brand was selected and the mean shelf life in days was determined for each brand. A 90% confidence interval for the difference of the means, μ_TC - μ_ST , was determined to be ( 1.4, 2.5).

We know that 90% of Tasty Choice doughnuts last between 1.4 and 2.5 days longer than Sugar Twist doughnuts.

We are 90% confident that a randomly selected box of Tasty Choice doughnuts will have a shelf life that is between 1.4 and 2.5 days longer than a randomly selected box of Sugar Twist doughnuts.

Based on this sample, we are 90% confident that Sugar Twist doughnuts will last on average between 1.4 and 2.5 days longer than Tasty Choice doughnuts.

We know that 90% of all random samples done on the population will show that the mean shelf life of Tasty Choice doughnuts is between 1.4 and 2.5 days longer than the mean shelf life of Sugar Twist doughnuts.

Based on this sample, we are 90% confident that Tasty Choice doughnuts will last on average between 1.4 and 2.5 days longer than Sugar Twist doughnuts.

19.

A philosophy professor wants to find out whether the mean age of the men in his large lecture class is equal to the mean age of the women in his classes. After collecting data from a random sample of his students, the professor tested the hypothesis H₀: μ_M = μ_W against the alternative H_A: μ_M≠ μ_W. The P-value for the test was 0.003. Which is true?

It is very unlikely that the professor would see results like these if the mean age of men was equal to the mean age of women.

There is a 0.3% chance that the mean ages for the men and women are equal.

There is a 99.7% chance that another sample will give these same results.

There is a 0.3% chance that another sample will give these same results.

There is a 0.3% chance that the mean ages for the men and women are different.

20.

You could win a $1000 prize by tossing a coin in one of two games. To win Game A, you must get exactly 50% heads. To win Game B, you must get between 45% and 55% heads. Although which game you must play will be chosen randomly, then you may decide whether to toss the coin 20 times or 50 times. How many tosses would you choose to make?

20 tosses for either game.

50 tosses for either game.

20 tosses for A, 50 tosses for B.

It does not matter.

50 tosses for A, 20 tosses for B.

21.

It is a statistical method applied in making decisions using experimental data. Hypothesis testing is basically testing an assumption that we make about a population.

conclusion

hypothesis testing

hypothesis

proposition

22.

It is a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable.

hypothesis

hypothesis testing

conclusion

proposition

23.

Define a Type I error?

The failure to reject a false null hypothesis

Rejecting a true null hypothesis

The acceptance to reject a null hypothesis

Accepting a true null hypothesis

24.

Which of the following represents the appropriate null & alternative hypotheses?

The mean height of women is greater than 64"

H₀: μ > 64"

Hₐ: μ ≠ 64"

H₀: μ < 64"

Hₐ: μ > 64"

H₀: p > 64"

Hₐ: p ≠ 64"

H₀: p = 64"

Hₐ: p > 64"

25.

What is the only option for the null hypothesis?

H₀ = k

H₀ > k

H₀ < k

H₀ ≠ k

26.

Which of the following is not an option for an alternate hypothesis?

H_a = k

H_a > k

H_a < k

H_a ≠ k

27.

The weight of the 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 weight 18.4 lbs. What is the null and alternate hypothesis?

H₀ = 18.4
H_a = 18.4

H₀ = 18.4
H_a > 18.4

H₀ = 18.4
H_a < 18.4

H₀ = 18.4
H_a ≠ 18.4

28.

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

When n < 30

When n ≥ 30

When all of the planets align

When the teacher says so

29.

In a hypothesis test, the alternative hypothesis is always a statement of equality.

True

False

30.

The null and alternative hypothesis can be the same.

Yes

Maybe

All the above

31.

The null and alternative hypothesis can be the same.

Yes

Maybe

All the above

32.

A z-score value in critical region means that you should reject the null hypothesis.

True

False

33.

Which of the following shows a right-tailed test?

Ha: µ < 15

H₀: µ < 15

Ha: µ > 15

H₀: µ > 15

34.

Which of these are statistical hypotheses?

Null hypothesis

Test hypothesis

Significance hypothesis

Alternative hypothesis

35.

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

Null hypothesis

Point hypothesis

Significance hypothesis

Alternative hypothesis

36.

H₀: μ = k

H₁: μ ≠ k

Left-tailed test

Two-tailed test

Right-tailed test

37.

H₀: μ = k

H₁: μ > k

Left-tailed test

Right-tailed test

38.

This is the range of values of the test value that indicates that there is a significance difference and that the null hypothesis should be rejected.

(a)

39.

This is a pre-determined error which the researcher is willing to risk in rejecting the null hypothesis when it is true.

(a)

40.

Denoted by $H_o$ , is a statement that there is no difference between a parameter and a specific value, or that there is no difference between two parameters.

(a)

41.

It is denoted by $H_1$ , is a statement that there is a difference between a parameter and a specific value, or that there is a difference between two parameters.

(a)

42.

If the null hypothesis is true and accepted, or if it is false and rejected, the decision is correct. If the null hypothesis is true and rejected, the decision is incorrect.

(a)

43.

This is the range of values of the test value that indicates that there is no significance difference and that the null hypothesis should be accepted.

(a)

44.

If the null hypothesis is false and accepted, the decision is incorrect.

(a)

45.

A type of test which indicates that the null hypothesis should be rejected when the test values is in the critical region on one side of the parameter.

(a)

46.

It is a test with two rejection regions. In this test, the null hypothesis should be rejected when the test value is in either of the two critical regions.

(a)

47.

It is a numerical value that states something about the entire population being studied.

(a)

48.

What is the SYMBOL for the ALTERNATIVE HYPOTHESIS?

H0H_0

H1H_1

α\alpha

None of these

49.

Which of these is a ONE-TAILED TEST?

H1: μ<kH_1:\ \mu<k

: μ<k

H1: μ≠kH_1:\ \mu\ne k

: μ

H0:μ=kH_0:\mu=k

:μ=k

None of these

50.

What is the decision if:

$z_{\text{computed}}<z_{\text{critical}}$

Reject $H_0$

Do not reject $H_0$

Reset

Hypothesis Testing

Total questions: 50

Worksheet time: 3hrs 30mins

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