# Question: a Determine the sample size necessary to estimate a population

a. Determine the sample size necessary to estimate a population mean to within 1 with 90% confidence given that the population standard deviation is 10.

b. Suppose that the sample mean was calculated as 150. Estimate the population mean with 90% confidence.

b. Suppose that the sample mean was calculated as 150. Estimate the population mean with 90% confidence.

## Answer to relevant Questions

a. Repeat part (b) in Exercise 10.45 after discovering that the population standard deviation is actually 5.b. Repeat part (b) in Exercise 10.45 after discovering that the population standard deviation is actually 20.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 random sample of 100 observations was randomly drawn from a population with a standard deviation of 5. The sample mean was calculated as x̄ = 400. Estimate the population mean with 99% confidence.b. Repeat part (a) ...H0: µ = 100H1: µ ≠ 100σ = 10, n = 100, x̄ = 100, α = .05Calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.A statistics practitioner wants to test the following hypotheses with σ = 20 and n = 100:H0: µ = 100H1: µ > 100a. Using α = .10 find the probability of a Type II error when µ = 102.b. Repeat part (a) with α = .02.c. ...Post your question