Confidence Intervals and Hypothesis Testing a) Consider collecting a sample of 16 random independent values from...

Confidence Intervals and Hypothesis Testing

a) Consider collecting a sample of 16 random independent values from a population with Gaussian distribution whose mean is 20 and variance is 9. Determine the 90-percent confidence interval for the sample mean.
b) Repeat part (a) with the assumption that the population variance is unknown; but assume that you have determined that the unbiased estimate of the variance is 9 for your sample.
c) Assume that the mean and variance of the population are unknown; but there is a claim that the population mean is 20. Additionally, assume that you take a sample of size 16 that gives a sample mean of 18.6 and an unbiased estimate of the variance of 9. Should you accept this claim with a 95% confidence level?
d) Repeat part (c) for a claim that the population mean is at least 20.

Expert Solution

orchestra answered 2 years ago

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