b) what is the test statistic? 24 points Previous Answers Company A is trying to

Question

b) what is the test statistic? 24 points Previous Answers Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the ste for 10 minutes. Company B is concerned that the mean time is significantly less than 10 minutes. Company B collects the times (In minutes) below for a sample of 18 users. Assume normalty. Assignment 7q3 data Conduct the appropriate hypothesis test for Company Busing a 0.0s level of significance. a) What are the appropriate null and alternative hypotheses? Ho: 10 versus Ha: H 10 O Ho: 10 versus Ha: 10 O Ho: X 10 versus H.: 10 O Ho: 10 versus Ha: 10 b) What is the test statistic? Give your answer four decimal places. to What is the critical value for the test? Give your answer to four decinmal places. d) What is the appropriate condusion? statistic is smaller than the critical point. Reject the claim that the mean time is 10 minutes because the test the critical point. O Reject the claim that the mean time is 10 minutes because the test statistic s larger than point. O Fail to reject the claim that the mean time minutes because the statistic is smaller than the critical is 10 test is larger than the area point. O Fall to reject the claim that the mean time is 10 minutes because the test statistic 25.2 4.4 0.4 0.5 19.6 8.6 5.1 1.9 5.5 20.2 0.8 0.3

Explanation / Answer

Sol:

For the given sample x bar=6.366

Stddev=7.604

=6.366-10/7.604/sqrt(18)

t =-2.0276

Degrees of freedom=n-1=18-1=17

alpha=0.05

alpha/2=0.05/2=0.025

t critical=2.110

Using p value also:

The P-Value is .029321.

The result is significant at p < .05.

Reject the null hypothesis

Accept alternative Hypothesis

Conclusion:

Reject the claim that the mean time is 10 minutes because the test statistic is smaller than the critical point.

9 4.7 25.2 4.4 0.4 0.5 19.6 8.6 5.1 2.1 1.1 1.9 5.5 4.7 20.2 0.8 0.3 0.5 6.366667 mean 7.604178 stddev

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