# Question: a A statistics practitioner took a random sample of 50

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) using a 95% confidence level.

c. Repeat part (a) using a 99% confidence level.

d. Describe the effect on the confidence interval estimate of increasing the confidence level.

b. Repeat part (a) using a 95% confidence level.

c. Repeat part (a) using a 99% confidence level.

d. Describe the effect on the confidence interval estimate of increasing the confidence level.

**View Solution:**## Answer to relevant Questions

a. The mean of a random sample of 25 observations from a normal population with a standard deviation of 50 is 200. Estimate the population mean with 95% confidence.b. Repeat part (a) changing the population standard ...a. From the information given here determine the 95% confidence interval estimate of the population mean.x̄ = 100 σ = 20 n = 25b. Repeat part (a) with x = 200.c. Repeat part (a) with x = 500.d. Describe what happens to the ...H0: µ = 50H1: µ > 50σ = 5, n = 9, x̄ = 51, α = .03Calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.Find the probability of a Type II error for the following test of hypothesis, given that µ = 1,050.H0: µ = 1,000H1: µ > 1,000α = .01, σ = 50, n = 25For the test of hypothesisH0: µ = 1,000H1: µ ≠ 1,000α = .05, σ = 200Draw the operating characteristic curve for n = 25, 100, and 200.Post your question