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

a. Determine the sample size required to estimate a population mean to within 10 units given that the population standard deviation is 50. A confidence level of 90% is judged to be appropriate.

b. Repeat part (a) changing the standard deviation to 100.

c. Re-do part (a) using a 95% confidence level.

d. Repeat part (a) wherein we wish to estimate the population mean to within 20 units.

b. Repeat part (a) changing the standard deviation to 100.

c. Re-do part (a) using a 95% confidence level.

d. Repeat part (a) wherein we wish to estimate the population mean to within 20 units.

## Relevant Questions

a. A statistics practitioner would like to estimate a population mean to within 50 units with 99% confidence given that the population standard deviation is 250. What sample size should be used?b. Re-do part (a) changing the ...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.Determine β for the following test of hypothesis, given that µ = 48.H0: µ = 50H1: µ < 50α = .05, σ = 10, n = 40For the test of hypothesisH0: µ = 1,000H1: µ ≠ 1,000α = .05, σ = 200Draw the operating characteristic curve for n = 25, 100, and 200.a. Find the p-value of the following test given that x̄ = 990, n = 100, and σ = 25.H0: μ = 1000H1: μ < 1000b. Repeat part (a) with σ = 50.c. Repeat part (a) with σ = 100.d. Describe what happens to the value of the ...Post your question