Question

Researchers collected data on the numbers of hospital admissions resulting from motor vehicle​ crashes, and results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a​ Friday, the numbers of hospital admissions from motor vehicle crashes are not affected

Friday the 6th:	Friday the 13th:
9	14
7	14
10	13
10	9
3	5
5	12

What are the hypotheses for this​ test?

Let μd be the ___________ in the numbers of hospital admissions resulting from motor vehicle crashes for the population of all pairs of data.

H0​: μd ___ = 0

H1​: μd ___ = 0

Find the value of the test statistic.

t = ___

Identify the critical​ value(s). Select the correct choice below and fill the answer box within your choice.

A.The critical values are t = ± ____

B.The critical value is t = _______

State the result of the test. Choose the correct answer below.

A. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected.

B. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected.

C. There is not sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected.

D. There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions do not appear to be affected.

Answer 1

Ans:

Friday the 6th:	Friday the 13th:	d
9	14	-5
7	14	-7
10	13	-3
10	9	1
3	5	-2
5	12	-7
	d-bar	-3.833
	sd	3.125

Let μd be the mean difference in the numbers of hospital admissions resulting from motor vehicle crashes for the population of all pairs of data.

Test statistic:

t=(-3.833-0)/(3.125/sqrt(6))

t=-3.00

df=6-1=5

critical t values=tinv(0.05,5)=+/-2.571

Reject the null hypothesis.

Option A is correct.

There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected.