Assembly Time: In a sample of 35 adults, the mean assembly time for a child's swing set was 1.79 hours with a standard deviation of 0.78 hours. The makers of the swing set claim the average assembly time is less than 2 hours. Test their claim at the 0.01 significance level.

(a) What type of test is this? This is a right-tailed test.

This is a two-tailed test.

This is a left-tailed test.

(b) What is the test statistic? Round your answer to 2 decimal places. t_x= (c) Use software to get the P-value of the test statistic. Round to 4 decimal places. P-value = (d) What is the conclusion regarding the null hypothesis? reject H₀

fail to reject H₀

(e) Choose the appropriate concluding statement. The data supports the claim that the mean assembly time is less than 2 hours.

There is not enough data to support the claim that the mean assembly time is less than 2 hours. We reject the claim that the mean assembly time is less than 2 hours.

We have proven that that the mean assembly time is less than 2 hours.