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A garment manufacturing company recorded the amount of time that it took to make each pair of eight randomly selected jeans. The times in minutes are as follows: 12.5, 13.0, 11.9, 10.2, 13.1, 13.6, 13.8, and 14.0. The manager of the company calculates the sample mean and sample standard deviation, and obtains the sample mean equal to x = 12.8 minutes and sample standard deviation equal to s = 1.25 minutes. Assume that population of times required to produce the pair of jeans is normal. Is it sufficient sample evidence to conclude that the mean time it takes the company to make a pair of jeans is less than 13.9 minutes? Test the appropriate hypothesis. Use level of significance a = 0.05. a. State null and research hypotheses: H: H₁₂ : b. Find the observed value of test statistic. Keep 3 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is t obs. = c. State the rejection region (in the form of inequality). The rejection region is d. Decide whether null hypothesis is rejected or is not rejected, and insert the word rejected or the words not rejected into the following statement. Null hypothesis is_ Insert the word sufficient or insufficient into the following statement. There is takes the company to make a pair of jeans is less than 13.9 minutes _sample evidence to conclude that mean time it

A garment manufacturing company recorded the amount of time that it took to make each pair of eight randomly selected jeans. The times in minutes are as follows: 12.5, 13.0, 11.9, 10.2, 13.1, 13.6, 13.8, and 14.0. The manager of the company calculates the sample mean and sample standard deviation, and obtains the sample mean equal to x = 12.8 minutes and sample standard deviation equal to s = 1.25 minutes. Assume that population of times required to produce the pair of jeans is normal. Is it sufficient sample evidence to conclude that the mean time it takes the company to make a pair of jeans is less than 13.9 minutes? Test the appropriate hypothesis. Use level of significance a = 0.05. a. State null and research hypotheses: H: H₁₂ : b. Find the observed value of test statistic. Keep 3 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is t obs. = c. State the rejection region (in the form of inequality). The rejection region is d. Decide whether null hypothesis is rejected or is not rejected, and insert the word rejected or the words not rejected into the following statement. Null hypothesis is_ Insert the word sufficient or insufficient into the following statement. There is takes the company to make a pair of jeans is less than 13.9 minutes _sample evidence to conclude that mean time it

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Solve question 10 for only part D.

10. A garment manufacturing company recorded the amount of time that it took to make each pair of eight randomly selected jeans. The times in minutes are as follows: 12.5, 13.0, 11.9, 10.2, 13.1, 13.6, 13.8, and 14.0. The manager of the company calculates the sample mean and sample standard deviation, and obtains the sample mean equal to x = 12.8 minutes and sample standard deviation equal to s = 1.25 minutes. Assume that population of times required to produce the pair of jeans is normal. Is it sufficient sample evidence to conclude that the mean time it takes the company to make a pair of jeans is less than 13.9 minutes? Test the appropriate hypothesis. Use level of significance a = 0.05. a. State null and research hypotheses: H: H₁₂ : b. Find the observed value of test statistic. Keep 3 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is t obs. = c. State the rejection region (in the form of inequality). The rejection region is d. Decide whether null hypothesis is rejected or is not rejected, and insert the word rejected or the words not rejected into the following statement. Null hypothesis is_ Insert the word sufficient or insufficient into the following statement. There is takes the company to make a pair of jeans is less than 13.9 minutes _sample evidence to conclude that mean time it
Transcribed Image Text:10. A garment manufacturing company recorded the amount of time that it took to make each pair of eight randomly selected jeans. The times in minutes are as follows: 12.5, 13.0, 11.9, 10.2, 13.1, 13.6, 13.8, and 14.0. The manager of the company calculates the sample mean and sample standard deviation, and obtains the sample mean equal to x = 12.8 minutes and sample standard deviation equal to s = 1.25 minutes. Assume that population of times required to produce the pair of jeans is normal. Is it sufficient sample evidence to conclude that the mean time it takes the company to make a pair of jeans is less than 13.9 minutes? Test the appropriate hypothesis. Use level of significance a = 0.05. a. State null and research hypotheses: H: H₁₂ : b. Find the observed value of test statistic. Keep 3 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is t obs. = c. State the rejection region (in the form of inequality). The rejection region is d. Decide whether null hypothesis is rejected or is not rejected, and insert the word rejected or the words not rejected into the following statement. Null hypothesis is_ Insert the word sufficient or insufficient into the following statement. There is takes the company to make a pair of jeans is less than 13.9 minutes _sample evidence to conclude that mean time it
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