# Question

Review Exercises 10.48 and 10.49. Describe what happens to the confidence interval estimate when

a. The standard deviation is equal to the value used to determine the sample size.

b. The standard deviation is smaller than the one used to determine the sample size.

c. The standard deviation is larger than the one used to determine the sample size.

a. The standard deviation is equal to the value used to determine the sample size.

b. The standard deviation is smaller than the one used to determine the sample size.

c. The standard deviation is larger than the one used to determine the sample size.

## Answer to relevant Questions

a. A statistics practitioner took a random sample of 50 observations from a population with a standard deviation of 25 and computed the sample mean to be 100. Estimate the population mean with 90% confidence.b. Repeat part ...a. A statistics practitioner randomly sampled 100 observations from a population with a standard deviation of 5 and found that x̄ is 10. Estimate the population mean with 90% confidence.b. Repeat part (a) with a sample size ...H0: µ = 1000H1: µ ≠ 1000σ = 200, n = 100, x̄ = 980, α = .01Calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.Calculate the probability of a Type II error for the following test of hypothesis, given that µ = 203.H0: µ = 200H1: µ ≠ 200α = .05, σ = 10, n = 100For Exercises 11.55 and 11.56, draw the sampling distributions similar to Figure 11.9.Post your question

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