Determine the probability that we would reject null, Ask an Expert

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Q1) Sample standard deviation from 15 measurements was 0.0083 grams.

a) Does measurement standard deviation vary from 0.01 grams at (alpha)=o.o5? Determine the P value for this test.

b) Explain how part a could be replied by building confidence interval for standard deviation.

Q2) Assume you randomly select sample of 50 observations from normal distribution. You then use those observations to evaluate the mean of population. Evaluate probability that you would be wrong in concluding that population mean is not equal to 160 given that sample standard deviation was found to be 2.1. (Hint: this is equivalent to saying, "determine the probability that we would reject null hypothesis given that it is true?")

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