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1. Which of the following p-values is most supportive of H A ? 0.025 0.01 0.02 0

ID: 3158282 • Letter: 1

Question

1. Which of the following p-values is most supportive of HA?

0.025

0.01

0.02

0.05

0.10

2.

If p-value of a test is 0.028, under which of the following significance level will H0 be rejected?

0.01

0.025

0.005

0.02

0.05

3.

A health researcher read that a 200-pound male can burn an average of 546 calories per hour playing tennis. Twenty six males were randomly selected and tested. The mean of the number of calories burned per hour was 544.8. Test the claim at 0.05 significance level that the average number of calories burned is actually less than 546. The sample standard deviation is 3, and assume normal distribution.

What is the observed value of the test statistic?

-2.04

2.04

1.96

-1.7081

-1.645

4.

A health researcher read that a 200-pound male can burn an average of 546 calories per hour playing tennis. Twenty six males were randomly selected and tested. The mean of the number of calories burned per hour was 544.8. Test the claim at 0.05 significance level that the average number of calories burned is actually less than 546. The sample standard deviation is 3, and assume normal distribution.

Which of the following should be the rejection region of the test?

Z 1.645

Z -1.645

T -1.7081

T 1.7081

T 1.7081

5.

A job replacement director claims that the average starting salary for nurses is $24,000. A sample of 10 nurses' salaries has a mean of $23,450 and a standard deviation of $400. To test the claim at 0.05 significance level, what is the observed value for the test statistic?

-4.35

-1.645

-1.375

4.35

1.96

6.

A survey claims that the average cost of a hotel room in Atlanta is $69.21. To test the claim, a researcher selects a sample of 32 hotel rooms and finds that the average cost is $68.43. The standard deviation of the population is $3.72. At 0.05 significance level, what is the rejection region for this test?

t 1.6991

|t| 2.0452

|Z| 1.96

Z 1.645

Z -1.645

7.

A survey claims that the average cost of a hotel room in Atlanta is $69.21. To test the claim at 0.05 significance level, a researcher selects a sample of 32 hotel rooms and finds that the average cost is $68.43. The standard deviation of the population is $3.72. If the observed value of the test statistic is -1.19, what should be the conclusion of the test?

Reject H0 and conclude that the average cost of a hotel room in Atlanta is about $69.21.

Do not reject H0 and conclude that the average cost of a hotel room in Atlanta is about $69.21.

Reject H0 and conclude that the average cost of a hotel room in Atlanta is not about $69.21.

Do not reject H0 and conclude that the average cost of a hotel room in Atlanta not about $69.21.

Do not reject H0 and conclude that the average cost of a hotel room in Atlanta is $68.43.

A survey of 15 large U.S. cities finds that the average commute time one way is 25.4 minutes. A chamber of commerce executive feels that the commute in his city is less and wants to publicize this. He randomly selects 25 commuters and finds the average is 22.1 minutes with a standard deviation of 5.3 minutes. What is the rejection region for this test at 0.10 significance level?

t -1.318

t 1.318

t 1.7109

Z -1.645

Z -1.2

.

0.025

0.01

0.02

0.05

0.10

Explanation / Answer

1.

It has to be the smallest Pvalue, which is

OPTION B: 0.01 [ANSWER]

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2.

We reject Ho when P < significance level.

Hence, as P = 0.028 < 0.05,

OPTION E: 0.05 [ANSWER]

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