In a sample of35adults, the mean assembly time for a child's swing set was1.78hours with a standard deviation of0.71hours. The makers of the swing set claim the average assembly time is less than2hours. Test their claim at the0.10significance level.

Show your steps for calculating the P-value (be sure to use the methods taught in this course).

(a) What type of test is this? Choose a, b, or c

1. This is a right-tailed test.
2. This is a two-tailed test.
3. This is a left-tailed test.

(b) Use software to get the P-value of the test statistic. Round to 4 decimal places. P-value =

(c) What is the conclusion regarding the null hypothesis? Choose a or b

1. rejectH₀
2. fail to rejectH₀

(d) Choose the appropriate concluding statement. Choose a, b, c, or d

1. The data supports the claim that the mean assembly time is less than 2 hours.
2. There is not enough data to support the claim that the mean assembly time is less than 2 hours.
3. We reject the claim that the mean assembly time is less than 2 hours.
4. We have proven that that the mean assembly time is less than 2 hours.

WHAT IS THE FUCTION IN THE CALCULATOR Z-TEST, T-TEST,1-PROPZTEST