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Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing stress will usually differ from the theoretical yielding point. Let p denote the true proportion of samples that yield before their theoretical yielding point. If on the basis of a sample it can be concluded that more than 20% of all specimens yield before the theoretical point, the production process will have to be modified. LAUSE SALT (a) If 14 of 52 specimens yield before the theoretical point, what is the P-value when the appropriate test is used? (Round your answer to four decimal places.) P-value = 0.1060 What would you advise the company to do? Because the P-value is rather large, H, would not be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so no modification appears necessary. Because the P-value is rather large, H, would not be rejected at any reasonable a, so no modification appears necessary. (b) If the true percentage of "early yields" is actually 50% (so that the theoretical point is the median of the yield distribution) and a level 0.01 test is used, what is the probability that the company concludes a modification of the process is necessary? (Round your answer to four decimal places.) 0.0068 x You may have found the complement of the desired probability.

Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing stress will usually differ from the theoretical yielding point. Let p denote the true proportion of samples that yield before their theoretical yielding point. If on the basis of a sample it can be concluded that more than 20% of all specimens yield before the theoretical point, the production process will have to be modified. LAUSE SALT (a) If 14 of 52 specimens yield before the theoretical point, what is the P-value when the appropriate test is used? (Round your answer to four decimal places.) P-value = 0.1060 What would you advise the company to do? Because the P-value is rather large, H, would not be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so no modification appears necessary. Because the P-value is rather large, H, would not be rejected at any reasonable a, so no modification appears necessary. (b) If the true percentage of "early yields" is actually 50% (so that the theoretical point is the median of the yield distribution) and a level 0.01 test is used, what is the probability that the company concludes a modification of the process is necessary? (Round your answer to four decimal places.) 0.0068 x You may have found the complement of the desired probability.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing stress will usually differ from the theoretical yielding point. Let p denote the true proportion of samples that yield before their theoretical yielding point. If on the basis of a sample it can be concluded that more than 20% of all specimens yield before the theoretical point, the production process will have to be modified. LUSE SALT (a) If 14 of 52 specimens yield before the theoretical point, what is the P-value when the appropriate test is used? (Round your answer to four decimal places.) P-value = 0.1060 What would you advise the company to do? Because the P-value is rather large, H, would not be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so no modification appears necessary. Because the P-value is rather large, H, would not be rejected at any reasonable a, so no modification appears necessary. (b) If the true percentage of "early yields" is actually 50% (so that the theoretical point is the median of the yield distribution) and a level 0.01 test is used, what is the probability that the company concludes a modification of the process is necessary? (Round your answer to four decimal places.) 0.0068 x You may have found the complement of the desired probability.
Transcribed Image Text:Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing stress will usually differ from the theoretical yielding point. Let p denote the true proportion of samples that yield before their theoretical yielding point. If on the basis of a sample it can be concluded that more than 20% of all specimens yield before the theoretical point, the production process will have to be modified. LUSE SALT (a) If 14 of 52 specimens yield before the theoretical point, what is the P-value when the appropriate test is used? (Round your answer to four decimal places.) P-value = 0.1060 What would you advise the company to do? Because the P-value is rather large, H, would not be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so the production process will have to be modified. Because the P-value is rather small, Ho will be rejected at any reasonable a, so no modification appears necessary. Because the P-value is rather large, H, would not be rejected at any reasonable a, so no modification appears necessary. (b) If the true percentage of "early yields" is actually 50% (so that the theoretical point is the median of the yield distribution) and a level 0.01 test is used, what is the probability that the company concludes a modification of the process is necessary? (Round your answer to four decimal places.) 0.0068 x You may have found the complement of the desired probability.
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