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Table legs made in your factory are unusable if their diameter is either too large or too small. The target diameter is 4 centimeters, with a known standard deviation of 0.3 centimeters. You take a sample of 5 table legs and find that their mean diameter is 4.2 centimeters. (Assume that the distribution is normal.) a) Write the null and alternative hypotheses to determine if the manufacturing process is working as expected. Họ :µ = , H1 : µ # b) Compute to 2 decimal places the test statistic. z = c) Find the corresponding P-value. [Round your answer to 4 decimal places.] P = d) Using a = 0.025, has the mean size of table legs drifted significantly? , No. Yes. eTextbook and Media

Table legs made in your factory are unusable if their diameter is either too large or too small. The target diameter is 4 centimeters, with a known standard deviation of 0.3 centimeters. You take a sample of 5 table legs and find that their mean diameter is 4.2 centimeters. (Assume that the distribution is normal.) a) Write the null and alternative hypotheses to determine if the manufacturing process is working as expected. Họ :µ = , H1 : µ # b) Compute to 2 decimal places the test statistic. z = c) Find the corresponding P-value. [Round your answer to 4 decimal places.] P = d) Using a = 0.025, has the mean size of table legs drifted significantly? , No. Yes. eTextbook and Media

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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Table legs made in your factory are unusable if their diameter is either too large or too small. The target diameter is 4 centimeters, with a known standard deviation of 0.3 centimeters. You take a sample of 5 table legs and find that their mean diameter is 4.2 centimeters. (Assume that the distribution is normal.) a) Write the null and alternative hypotheses to determine if the manufacturing process is working as expected. Ho : µ = H1: µ + b) Compute to 2 decimal places the test statistic. Z = c) Find the corresponding P-value. [Round your answer to 4 decimal places.] P = d) Using a = 0.025, has the mean size of table legs drifted significantly? No. Yes. eTextbook and Media
Transcribed Image Text:Table legs made in your factory are unusable if their diameter is either too large or too small. The target diameter is 4 centimeters, with a known standard deviation of 0.3 centimeters. You take a sample of 5 table legs and find that their mean diameter is 4.2 centimeters. (Assume that the distribution is normal.) a) Write the null and alternative hypotheses to determine if the manufacturing process is working as expected. Ho : µ = H1: µ + b) Compute to 2 decimal places the test statistic. Z = c) Find the corresponding P-value. [Round your answer to 4 decimal places.] P = d) Using a = 0.025, has the mean size of table legs drifted significantly? No. Yes. eTextbook and Media
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