Homework: Homework - Chapter 9-Section 1 (Review) Score: 0 of 1 pt 5017(I comple

Question

Homework: Homework - Chapter 9-Section 1 (Review) Score: 0 of 1 pt 5017(I complete) Consider the following hypothesis test with n:16, s#85, and x-64s 0.01 a. State the decision rule in terms of the critical value of the test statistic b. State the calculated value of the test statistic c State the conclusion. a. State the decision rule. Select the correct choice below and fill in the answer box(es) to oomplete your choice Round to two decimal places as needed.) O A. Re ect the null hypothesis if the calculated value of the test statistic is less tha orgreater than the criscal value of Otherwise, do not re ect the c tical ako of Otherwise d of t B. Re oct the n hypothesis if the calculated value of the test statistic is less than to critical value of O G. Rejec the nui hypothesis i the calculated value of the test statistic is groatorthan the ortical value of Oherwise, do not reject. Click to select and enter your answerts) and then click Check Answer Clear All

Explanation / Answer

Ans:

a)As,population standard deviation is unknown and n<=30,we will use t-statistic.

df=16-1=15

significance level=0.01

critical t value(2 tailed)=tinv(0.01,15)=+/-2.95

Reject null hypothesis,if t<-2.95 or t>2.95

Option A is correct.

b)Test statistic:

t=(64.5-63)*sqrt(16)/8.5=0.7059

c)As,t<2.95,we fail to reject null hypothesis.

There is sufficient evidence to conclude that population mean is equal to 63.

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