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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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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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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