2. The data below are from a sample of temperatures (°C) measured in small batch fermentation reactors at a brewery. Use these data to address the following tasks: a) Do these data appear to be from a normal distribution? Explain how you reached your conclusion. b) Test the hypothesis Ho: µ = 21 versus H1: µ± 21 at the 95% confidence level. c) What is the P-value for the above hypothesis test? d) What is the power of the above test if the true mean is 22? e) What is the minimum sample size required if the true mean is 22 and you want the power of the test to be at least 0.95 at the 95% confidence level? f) Test the hypothesis Ho: o² = 3 versus H1: 0² ± 3 at the 90% confidence level. g) What is the P-value for the hypothesis test on o? 20.7, 20.2, 17.5, 18.8, 19.3, 23.0, 21.1, 19.7, 19.6, 16.0, 17.5, 22.1, 19.6, 20.6, 16.1, 19.8, 16.6, 22.8, 18.4, 23.0, 19.6, 18.3, 22.2, 20

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Please do the first a,b, c, d and next I will submit next problem

2. The data below are from a sample of temperatures (°C) measured in small batch fermentation reactors at a
brewery. Use these data to address the following tasks:
a) Do these data appear to be from a normal distribution? Explain how you reached your conclusion.
b) Test the hypothesis Ho: µ = 21 versus H1: µ± 21 at the 95% confidence level.
c) What is the P-value for the above hypothesis test?
d) What is the power of the above test if the true mean is 22?
e) What is the minimum sample size required if the true mean is 22 and you want the power of the
test to be at least 0.95 at the 95% confidence level?
f) Test the hypothesis Ho: o² = 3 versus H1: 0² ± 3 at the 90% confidence level.
g) What is the P-value for the hypothesis test on o?
20.7, 20.2, 17.5, 18.8, 19.3, 23.0, 21.1, 19.7, 19.6, 16.0, 17.5, 22.1,
19.6, 20.6, 16.1, 19.8, 16.6, 22.8, 18.4, 23.0, 19.6, 18.3, 22.2, 20
Transcribed Image Text:2. The data below are from a sample of temperatures (°C) measured in small batch fermentation reactors at a brewery. Use these data to address the following tasks: a) Do these data appear to be from a normal distribution? Explain how you reached your conclusion. b) Test the hypothesis Ho: µ = 21 versus H1: µ± 21 at the 95% confidence level. c) What is the P-value for the above hypothesis test? d) What is the power of the above test if the true mean is 22? e) What is the minimum sample size required if the true mean is 22 and you want the power of the test to be at least 0.95 at the 95% confidence level? f) Test the hypothesis Ho: o² = 3 versus H1: 0² ± 3 at the 90% confidence level. g) What is the P-value for the hypothesis test on o? 20.7, 20.2, 17.5, 18.8, 19.3, 23.0, 21.1, 19.7, 19.6, 16.0, 17.5, 22.1, 19.6, 20.6, 16.1, 19.8, 16.6, 22.8, 18.4, 23.0, 19.6, 18.3, 22.2, 20
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