Question

The makers of a child's swing set claim that the average assembly time is less than 2 hours. A sample of 35 assembly times (in hours) for this swing set is given in the table below. Test their claim at the 0.10 significance level.

(a) What type of test is this? This is a two-tailed test. This is a right-tailed test.     This is a left-tailed test. (b) What is the test statistic? Round your answer to 2 decimal places. tx = (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 the mean assembly time is less than 2 hours.

DATA ( n = 35 ) Assembly Time Hours    1.09 2.59 1.38 2.14 2.01 2.30 1.04 2.17 1.42 2.78 3.31 1.95 1.57 2.92 0.93 0.69 2.45 0.21 1.39 1.95 2.53 2.11 1.57 0.85 1.15 2.49 2.46 1.47 3.55 1.40 1.75 2.30 0.74 2.42 2.54

Answer 1

The statistic software output for this problem is:

One sample T hypothesis test: : Mean of variable Ho: M = 2 HA: <2 Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat Hours 1.8748571 0.13168486 34 -0.95032076 P-value 0.1743

(a)This is a left-tailed test.This is a left-tailed test.

(b) Test statistics = -0.95

(c) P-value = 0.1743

(d)

P-value > 0.1743

Fail to reject the null hypothesis .

(e)

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