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Assembly Time: In a sample of 35 adults, the mean assembly time for a child's swing set was 1.77 hours with a standard deviation of 0.80 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? O This is a right- tailed test. O This is a two-tailed test. O This is a left-tailed test. (b) What is the test statistic? Round your answer to 2 decimal places. to = (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? O reject Ho O fail to reject Ho (e) Choose the appropriate concluding statement. O The data supports the claim that the mean assembly time is less than 2 hours. O 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