Question

A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will increase whe they are allowed to wear ear buds at work. A random sample of 24 workers' times were collected before and after Test the claim that the time to complete the task has increased at a significance level of a = 0.05. For the context of this problem, plater - Helse where the first data set represents after and the second data set represents before Assume the population is normally distributed. Round answers to 4 decimal places H: H:14 = 0 > 0 You obtain the following sample of data: After 55.2 62.5 59.3 54.3 73.8 Before 48.2 54.1 605 47.1 68 9 645 563 64.5 46.7 459 61.1 590 66.5 49.9 50.2 60.2 65.8 53.2 What is the critical value for this test? critical value What is the test statistic for this sample? test statistic The test statistic is... Select an answer This test statistic leads to a decision to select an answer As such, the final conclusion is that There is not sufficient sample evidence to support the claim that the time to complete the task has increased There is not sufficient evidence to warrant rejection of the claim that the time to complete the task has increased There is sufficient evidence to warrant rejection of the claim that the time to complete the task has increased The sample data support the claim that the time to complete the task has increased points possible: 10 Unlimited attempts. Message Instructor about this question

Answer 1

Ans.

Obs	After	Before	d=After - Before	d2
1	55.2	48.2	7	49
2	62.5	54.1	8.4	70.56
3	59.3	60.5	-1.2	1.44
4	54.3	47.1	7.2	51.84
5	73.8	68.9	4.9	24.01
6	64.5	56.3	8.2	67.24
7	54.4	64.5	-10.1	102.01
8	39.2	46.7	-7.5	56.25
9	51.5	45.9	5.6	31.36
10	58.6	61.1	-2.5	6.25
11	51.3	52.1	-0.8	0.64
12	53.8	59.9	-6.1	37.21
13	71.7	66.5	5.2	27.04
14	59.4	56.8	2.6	6.76
15	58.3	49.9	8.4	70.56
16	73.8	71.5	2.3	5.29
17	55.8	49.3	6.5	42.25
18	59.9	56.6	3.3	10.89
19	46.1	48.6	-2.5	6.25
20	63.3	68.4	-5.1	26.01
21	50.9	50.2	0.7	0.49
22	65.8	60.2	5.6	31.36
23	57.6	49.6	8	64
24	49.2	53.2	-4	16
SUM =			44.1	804.71