Question

5) The operations manager of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. a) State the Hypothesis to show the average assembly time using the new method is faster than the current method. b) Choose a level of a. Use a = 0.10 for this problem. c) To test the hypothesis, the operations manager has 24 golf carts assembled using the new method and records the assembly time in minutes. The data appear in the Assembly Time worksheet of the HW1 data workbook on Moodle. Calculate necessary statistics to test the hypothesis. d) Sketch the sampling distribution. Include the critical value and test statistic e) Draw a conclusion and report that in the problem context. f) Calculate the p-value for the hypothesis test

Golf	Assembly
Cart	Time
1	36.4
2	39.8
3	42.2
4	42.6
5	41.2
6	39.6
7	44.1
8	39.6
9	39.1
10	44.4
11	37.7
12	38.6
13	38.6
14	41.3
15	39.8
16	41.1
17	43.5
18	40.4
19	44
20	39.1
21	47
22	45
23	43.1
24	40.6

Answer 1

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(d) The t-test and the p-value in the t-distribution plot:

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