The sales representative for a manufacturer of a new product claims that the product will increase output per machine by at least 29 units per hour. A line manager installs the product on 15 of the machines, and finds that the average increase was only 26 with a standard deviation of 6.2.

a)Using a 5% significance level, which of the following statements is true?

Reject H0 if t statistic < -1.761

Reject H0 if t statistic < -2.16

Reject H0 if t statistic < 1.771

Reject H0 if t statistic > 2.16

b)The value of the test statistic is:

1.240

-1.240

1.874

-1.874

c)Which of the following statements is most accurate?

reject the null hypothesis at = 0.10

reject the null hypothesis at = 0.05, but not 0.10

reject the null hypothesis at = 0.01, but not 0.05

fail to reject the null hypothesis at 0.10