In a sample of 40 grown-ups, the mean assembly time for a boxed swing set was 1.77 hours with a standard deviation of 0.66727 hours. The makers of this swing set claim the average assembly time is less than 2 hours.

(a) Find the test statistic.

(b) Test their claim at the 0.01 significance level.

Critical value:

Is there sufficient data to support their claim?
Yes
No

(c) Test their claim at the 0.05 significance level.

Critical value:

Is there sufficient data to support their claim?
Yes
No