Time
1.2
2.8
1.5
19.3
2.4
0.7
2.2
0.7
18.8
6.1
6
1.7
29.1
2.6
0.2
10.2
5.1
0.9
8.2

Company A is trying to sell its website to Company B. As part ofthe sale, Company A claims that the average user of their sitestays on the site for 10 minutes. Company B is concerned that themean time is significantly less than 10 minutes. Company B collectsthe times (in minutes) below for a sample of 19 users. Assumenormality.

Conduct the appropriate hypothesis test for Company B using a0.08 level of significance.

a) What are the appropriate null and alternative hypotheses?

H₀: μ = 10 versus H_a: μ > 10

H₀: μ = 10 versus H_a: μ <10    

H₀: x = 10 versus H_a: x ≠ 10

H₀: μ = 10 versus H_a: μ ≠ 10

b) What is the test statistic? Give your answer to four decimalplaces.  
c) What is the critical value for the test? Give your answer tofour decimal places.  
d) What is the appropriate conclusion?

Reject the claim that the mean time is 10 minutes because thetest statistic is larger than the critical point.

Fail to reject the claim that the mean time is 10 minutesbecause the test statistic is larger than the criticalpoint.  

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

Fail to reject the claim that the mean time is 10 minutesbecause the test statistic is smaller than the critical point.