Compute the standard deviation for each of the four samples. sample 1s=。 sample 2s =sample 3s =sample 4s = The assumption of 0.21 for the population standard deviation appears reasonable for which of the following samples. (Select all that apply.) Sample 1Sample 2Sample 3Sample 4The assumption of 0.21 is not reasonable for any of the samples. 2 Conduct a hypothesis test for each sample at the ? = 0.01 level of significance. Use the sample standard deviations in calculating the test statistic. (You may need to use the appropriate appendix table or technology to answer this question. Round your test statistics to two decimal places and your p-values to four decimal places.) Sample 1 Find the test statistic and p-value. test statistic =p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Sample 2 Find the test statistic and p-value. test statistic =p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Sample 3 Find the test statistic and p-value. test statistic =p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Sample 4 Find the test statistic and p-value. test statistic =p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Based on the hypothesis tests, which sample(s) need corrective action? (Select all that apply.) Sample 1Sample 2Sample 3Sample 4No samples need corrective action.

Compute the standard deviation for each of the four samples. sample 1s=。 sample 2s =sample 3s =sample 4s = The assumption of 0.21 for the population standard deviation appears reasonable for which of the following samples. (Select all that apply.) Sample 1Sample 2Sample 3Sample 4The assumption of 0.21 is not reasonable for any of the samples. 2 Conduct a hypothesis test for each sample at the ? = 0.01 level of significance. Use the sample standard deviations in calculating the test statistic. (You may need to use the appropriate appendix table or technology to answer this question. Round your test statistics to two decimal places and your p-values to four decimal places.) Sample 1 Find the test statistic and p-value. test statistic =p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Sample 2 Find the test statistic and p-value. test statistic =p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Sample 3 Find the test statistic and p-value. test statistic =p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Sample 4 Find the test statistic and p-value. test statistic =p-value = State your conclusion. Reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is sufficient evidence to conclude that the mean is significantly different from 12. Do not reject H0. There is insufficient evidence to conclude that the mean is significantly different from 12. Based on the hypothesis tests, which sample(s) need corrective action? (Select all that apply.) Sample 1Sample 2Sample 3Sample 4No samples need corrective action.

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Description: The consultancy Quality Associates (QA) advises its clients about sampling and statistical procedures that can be used to control their manufacturing processes. One particular client gave QA a sample of 1,000 observations taken during a time when the

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The consultancy Quality Associates (QA) advises its clients about sampling and statistical procedures that can be used to control their manufacturing processes. One particular client gave QA a sample of 1,000 observations taken during a time when the client's process was operating satisfactorily. The sample standard deviation for these data was 0.21; hence, with so much data, the population standard deviation was assumed to be 0.21. QA then suggested that random samples of size 30 be taken periodically to monitor the process on an ongoing basis. By analyzing the new samples, the client could quickly learn whether the process was operating satisfactorily, and if necessary take corrective action.

The design specification indicated that the mean for the process should be 12.0. The hypothesis test suggested by QA follows.

H₀: ? = 12

H₁: ? ≠ 12

Corrective action will be taken any time

H₀

is rejected.

Prepare a managerial report to establish process control limits for a process with a mean value of 12 at a 0.01 level of significance.

The samples in the following data set were collected at hourly intervals during the first day of operation of the new statistical process control procedure.

Sample 1	Sample 2	Sample 3	Sample 4
12.03	11.90	11.56	11.63
12.03	11.35	11.63	11.70
12.06	11.74	11.53	11.60
12.19	11.94	11.76	11.83
12.12	12.13	11.91	11.98
12.08	11.71	11.65	11.72
12.06	11.60	11.81	11.88
11.65	11.84	12.04	12.11
12.40	12.15	11.95	12.02
11.66	11.90	11.93	12.00
12.12	12.11	12.14	12.21
11.91	11.60	12.10	12.17
12.23	12.20	11.94	12.01
11.89	11.55	12.22	12.29
12.04	11.94	12.33	12.40
12.36	12.00	11.94	12.01
12.10	12.05	11.86	11.93
11.78	11.75	11.77	11.84
12.21	11.81	12.17	12.24
11.80	12.11	11.78	11.85
12.31	11.59	12.01	12.08
12.28	11.94	12.05	12.12
12.30	11.95	11.99	12.06
12.48	12.21	12.31	12.38
12.04	11.74	12.19	12.26
12.18	11.95	11.98	12.05
11.95	11.94	12.18	12.25
11.98	11.88	11.86	11.93
12.24	11.87	12.31	12.38
12.26	11.92	12.16	12.23

Compute the standard deviation for each of the four samples.

sample 1s=。 sample 2s =sample 3s =sample 4s =

The assumption of 0.21 for the population standard deviation appears reasonable for which of the following samples. (Select all that apply.)

Sample 1Sample 2Sample 3Sample 4The assumption of 0.21 is not reasonable for any of the samples.

Conduct a hypothesis test for each sample at the

? = 0.01

level of significance. Use the sample standard deviations in calculating the test statistic. (You may need to use the appropriate appendix table or technology to answer this question. Round your test statistics to two decimal places and your p-values to four decimal places.)

Sample 1

Find the test statistic and p-value.

test statistic =p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the mean is significantly different from 12.

Reject H₀. There is insufficient evidence to conclude that the mean is significantly different from 12.

Do not reject H₀. There is sufficient evidence to conclude that the mean is significantly different from 12.

Do not reject H₀. There is insufficient evidence to conclude that the mean is significantly different from 12.

Sample 2

Find the test statistic and p-value.

test statistic =p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the mean is significantly different from 12.

Reject H₀. There is insufficient evidence to conclude that the mean is significantly different from 12.

Do not reject H₀. There is sufficient evidence to conclude that the mean is significantly different from 12.

Do not reject H₀. There is insufficient evidence to conclude that the mean is significantly different from 12.

Sample 3

Find the test statistic and p-value.

test statistic =p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the mean is significantly different from 12.

Reject H₀. There is insufficient evidence to conclude that the mean is significantly different from 12.

Do not reject H₀. There is sufficient evidence to conclude that the mean is significantly different from 12.

Do not reject H₀. There is insufficient evidence to conclude that the mean is significantly different from 12.

Sample 4

Find the test statistic and p-value.

test statistic =p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the mean is significantly different from 12.

Reject H₀. There is insufficient evidence to conclude that the mean is significantly different from 12.

Do not reject H₀. There is sufficient evidence to conclude that the mean is significantly different from 12.

Do not reject H₀. There is insufficient evidence to conclude that the mean is significantly different from 12.

Based on the hypothesis tests, which sample(s) need corrective action? (Select all that apply.)

Sample 1Sample 2Sample 3Sample 4No samples need corrective action.

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