Question

QUESTION 48

1. In the midst of a particularly hot summer, researchers wondered if the average daily high temperature during the current year's summer months in Philadelphia was different than it was the previous year. Last year, the average daily high temperature in the summer months was 85 degrees. Based on a sample of 37 days this summer, a sample mean of 86.8 degrees was calculated with a standard deviation of 8.1 degrees. Is this enough evidence that the average daily high temperature in summer in Philadelphia this year is significantly different than it was last year? Work at a .10 level of significance (90% confidence).

   Calculate the test statistic for this hypothesis test.

   	A.	1.645
   	B.	1.8
   	C.	0.135
   	D.	1.35
   	E.	13.5

10 points   

QUESTION 49

1. In the midst of a particularly hot summer, researchers wondered if the average daily high temperature during the current year's summer months in Philadelphia was different than it was the previous year. Last year, the average daily high temperature in the summer months was 85 degrees. Based on a sample of 37 days this summer, a sample mean of 86.8 degrees was calculated with a standard deviation of 8.1 degrees. Is this enough evidence that the average daily high temperature in summer in Philadelphia this year is significantly different than it was last year? Work at a .10 level of significance (90% confidence).

   What is the critical value that marks off the rejection region for this hypothesis test?

   	A.	1.35
   	B.	1.645
   	C.	1
   	D.	1.96

10 points   

QUESTION 50

1. Does the test statistic fall into the rejection region for this hypothesis test?

   		Yes
   		No

10 points   

QUESTION 51

1. What is the p-value for this hypothesis test?

   	A.	0.1770
   	B.	0.0017
   	C.	1.823
   	D.	0.9115

10 points   

QUESTION 52

1. What is the statistical decision for this hypothesis test?

   	A.	Yes, Reject Ho
   	B.	No, do not reject Ho

10 points   

QUESTION 53

1. What is the correct conclusion sentence for this hypothesis test?

   	A.	With 90% confidence, I do not have enough evidence to conclude that the true mean daily high temperature this summer in Philadelphia is significantly different than last year's mean temperature of 85 degrees.
   	B.	I am 90% confident that the true mean daily high temperature this summer in Philadelphia issignificantly different than last year's mean temperature of 85 degrees.

10 points   

QUESTION 54

1. If a confidence interval was constructed with this sample temperature data from Philadelphia this summer, what would be true?

   		The value of 85 degrees would be below the confidence interval (in other words, the entire confidence interval would be higher than 85 degrees).
   		The value of 85 degrees would be contained within the confidence interval.
   		The value of 85 degrees would be higher than the confidence interval (in other words, the entire interval would be lower than 85 degrees).

Answer 1

(48) The test statistic for this hypothesis test:

Option(D): 1.35

(49) The critical value that marks of the rejection region for this hypothesis test:

Option(B): 1.645

(50) Answer: No. The test statistic doesn't fall into the rejection region for this hypothesis test.

(51) The p-value for this hypothesis test:

Option(A): 0.1770

(52) The statistical decision for this hypothesis test:

Option(B): No, do not reject H0.

(53) The correct conclusion sentence for this hypothesis test:

Option(A): With 90% confidence, I do not have enough evidence to conclude that the true mean daily high temperature this summer in Philadelphia is significantly different than last year's mean temperature of 85 degrees.

(54) Answer: The value of 85 degrees would be contained within the confidence interval.