STA, 2000-Final Exam 14. The Professor Alvarado DeJesus a conclusion of the hypo

Question

STA, 2000-Final Exam 14. The Professor Alvarado DeJesus a conclusion of the hypothesis Spring 2017 Page 5 do reject the null test is significantly h the data do not provide evidence that the true mean revenue is b) do not less than S700 and he will therefore not buy the laundry. reject the null hypothesis, the data do not provide evidence that the true mean revenue is significantly different than $700 and he will therefore buy the c) reject the null the data provide evidence that the true mean revenue significantly less than S700 and he will therefore not buy the laundry. d) reject the null hypothesis, the data provide evidence that the true mean revenue is pificantly more than S700 and he will therefore buy 15. If the true mean revenue is s710, based on the correct conclusion in Question 14, would an enor be made? a) Yes, a Type I because the null hypothesis would be rejected when is true. b) Yes, a II entor wil be a null hypotbesis will not be rejected c) No, because a false null hypothesis will be rejected. d) No, because a true null hypothesis will not be rejected

Explanation / Answer

we need to check whether the data provide evidence that the true mean daily revenue is significantly less than $700

so null hypothesis is H0: mean=u=700 and alternative hypothesis is H1:mean=u<700

level of significance=alpha=0.01

since the population standard deviation is unknown. hence using the second column of the excel output that is by using t test we get p value=0.008

so p value<alpha

hence H0 should be rejected.

hence the conclusion is H1 is true that is mean<700

so solution of question 14 is

c) reject the null hypothesis , the data provide evidence that the true mean revenue is significantly less than $700 and he will therefore not buy the laundry

question 15

if the true mean revenue is $710, then H0:mean=700 is itself false

hence on question 14 we have rejected a false null hypothesis

hence correct option is

c) No, because a false null hypothesis will be rejected

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