The weight of a candy bar is N(50, 1). We take a sample of 4 candy bars and compute the sample mean. The sample mean equals 51.
What is the sampling distribution of the sample mean?
What is a 95 percent Confidence Interval for the mean?
State the null and alternative hypothesis for a one-sided test where we think the mean is "greater than".
What is the Critical Value for the one-sided test (assume alpha = .05)? What is the P-value for the sample mean of 51? Can you reject the Null Hypothesis?
What is the power of the test if you think the mean is really 52? Assume alpha = .05.