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1. You are back in quality control again, at a factory which produces 2000 products per day. Your job is to look for evidence that less than 90% of the products are of acceptable quality. One day, your sample of 100 products contains 12 defective products. Is this enough evidence to conclude that the quality today is less than 90%?

1. You are back in quality control again, at a factory which produces 2000 products per day. Your job is to look for evidence that less than 90% of the products are of acceptable quality. One day, your sample of 100 products contains 12 defective products. Is this enough evidence to conclude that the quality today is less than 90%?

MATLAB: An Introduction with Applications
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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For each of the three scenarios which follow, do the following steps in the hypothesis testing process, with the level of significance a = .05 for each. o State the null and alternative hypotheses, explaining your thought process. o State which type of test you will do, of the three we learned this week, and how you know. • State whether the area you will be interested in, when doing the test, will be to the left, to the right, or both, and how you know. . Find the test statistic for the test you determined was appropriate. • Find the p-value corresponding to the test statistic, given the direction you determined for the area. Explain what the p-value represents. • State whether the results are or are not statistically significant, explaining in terms of the relationship between the p-value and a. Explain what the results of the test mean, using the vocabulary of hypothesis testing. Explain what the results of the test mean, using words other than the vocabulary of hypothesis testing. • Find a way to change only the sample size and nothing else about the data to make the test give the opposite conclusion. 0 PODES m li NEA URAN Sp 1. You are back in quality control again, at a factory which produces 2000 products per day. Your job is to look for evidence that less than 90% of the products are of acceptable quality. One day, your sample of 100 products contains 12 defective products. Is this enough evidence to conclude that the quality today is less than 90%? 2. You are studying a species of fruit fly which is believed to have a normally distributed wingspan with al mean of 4 millimeters and a standard deviation of .3 millimeters. You are doing fieldwork to determine if this mean is correct. You set several traps in the area and collect 78 individuals from this species, and find that these 78 fruit flies have a mean wingspan of 4.1 millimeters. 3. You are studying a different species of fruit fly which is believed to have a mean wingspan of 6 millimeters, but the standard deviation is not known because this is a newly discovered species. You M US Nov 27 < ✩ 7:12
Transcribed Image Text:For each of the three scenarios which follow, do the following steps in the hypothesis testing process, with the level of significance a = .05 for each. o State the null and alternative hypotheses, explaining your thought process. o State which type of test you will do, of the three we learned this week, and how you know. • State whether the area you will be interested in, when doing the test, will be to the left, to the right, or both, and how you know. . Find the test statistic for the test you determined was appropriate. • Find the p-value corresponding to the test statistic, given the direction you determined for the area. Explain what the p-value represents. • State whether the results are or are not statistically significant, explaining in terms of the relationship between the p-value and a. Explain what the results of the test mean, using the vocabulary of hypothesis testing. Explain what the results of the test mean, using words other than the vocabulary of hypothesis testing. • Find a way to change only the sample size and nothing else about the data to make the test give the opposite conclusion. 0 PODES m li NEA URAN Sp 1. You are back in quality control again, at a factory which produces 2000 products per day. Your job is to look for evidence that less than 90% of the products are of acceptable quality. One day, your sample of 100 products contains 12 defective products. Is this enough evidence to conclude that the quality today is less than 90%? 2. You are studying a species of fruit fly which is believed to have a normally distributed wingspan with al mean of 4 millimeters and a standard deviation of .3 millimeters. You are doing fieldwork to determine if this mean is correct. You set several traps in the area and collect 78 individuals from this species, and find that these 78 fruit flies have a mean wingspan of 4.1 millimeters. 3. You are studying a different species of fruit fly which is believed to have a mean wingspan of 6 millimeters, but the standard deviation is not known because this is a newly discovered species. You M US Nov 27 < ✩ 7:12
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