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Hypodermic needles are produced in a manufacturing process. The quality feature to be monitored is the outside diameter (in mm) for which the target value0=0.8 is specified. We assume that the outside diameter is due to production-related variations Mμ, 02)- distributed. In the course of monitoring the process, a test random sample is taken from the ongoing production /-10 needles removed. The sample mean (arithmetic mean) isx= 0.827, which is the sample standard deviation (empirical standard deviation).s(x) = 0.05 a) Are the data compatible with the hypothesis that the target value0=0.8 is maintained on average in the overall production? Test this Ho: με μό H:μ6=μ to the significance levela- 5%. The quantiles required for the test are included to determine. In your solution, indicate the command used for this. against

Hypodermic needles are produced in a manufacturing process. The quality feature to be monitored is the outside diameter (in mm) for which the target value0=0.8 is specified. We assume that the outside diameter is due to production-related variations Mμ, 02)- distributed. In the course of monitoring the process, a test random sample is taken from the ongoing production /-10 needles removed. The sample mean (arithmetic mean) isx= 0.827, which is the sample standard deviation (empirical standard deviation).s(x) = 0.05 a) Are the data compatible with the hypothesis that the target value0=0.8 is maintained on average in the overall production? Test this Ho: με μό H:μ6=μ to the significance levela- 5%. The quantiles required for the test are included to determine. In your solution, indicate the command used for this. against

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
Section: Chapter Questions
Problem 25SGR
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Hypodermic needles are produced in a manufacturing process. The quality feature to be monitored is the outside diameter (in mm) for which the target value=0.8 is specified. We assume that the outside diameter is due to production-related variations Mμ, 02)- distributed. In the course of monitoring the process, a test random sample is taken from the ongoing production N=10 needles removed. The sample mean (arithmetic mean) is 0.827, which is the sample standard deviation (empirical standard deviation).s(x) = 0.05 a) Are the data compatible with the hypothesis that the target value0=0.8 is maintained on average in the overall production? Test this HO: με μό 1:06μ to the significance levela- 5%. The quantiles required for the test are included Rto determine. In your solution, indicate the command used for this. against b) How small or how large should the sample mean of a sample with a size of N=10 with the same sample standard deviation, so that the null hypothesis in part a) is rejected?
Transcribed Image Text:Hypodermic needles are produced in a manufacturing process. The quality feature to be monitored is the outside diameter (in mm) for which the target value=0.8 is specified. We assume that the outside diameter is due to production-related variations Mμ, 02)- distributed. In the course of monitoring the process, a test random sample is taken from the ongoing production N=10 needles removed. The sample mean (arithmetic mean) is 0.827, which is the sample standard deviation (empirical standard deviation).s(x) = 0.05 a) Are the data compatible with the hypothesis that the target value0=0.8 is maintained on average in the overall production? Test this HO: με μό 1:06μ to the significance levela- 5%. The quantiles required for the test are included Rto determine. In your solution, indicate the command used for this. against b) How small or how large should the sample mean of a sample with a size of N=10 with the same sample standard deviation, so that the null hypothesis in part a) is rejected?
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