# Question

Consider the following null and alternative hypotheses:

Ho: µ = 120 versus H1: µ > 120

A random sample of 81 observations taken from this population produced a sample mean of 123.5. The population standard deviation is known to be 15.

a. If this test is made at a 2.5% significance level, would you reject the null hypothesis? Use the critical-value approach.

b. What is the probability of making a Type I error in part a?

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = .01? What if α = .05?

Ho: µ = 120 versus H1: µ > 120

A random sample of 81 observations taken from this population produced a sample mean of 123.5. The population standard deviation is known to be 15.

a. If this test is made at a 2.5% significance level, would you reject the null hypothesis? Use the critical-value approach.

b. What is the probability of making a Type I error in part a?

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = .01? What if α = .05?

## Answer to relevant Questions

Multiple choice questions: 1. A test of hypothesis is always about a. A population parameter b. A sample statistic c. A test statistic 2. A Type I error is committed when a. A null hypothesis is not rejected when it is ...Multiple choice questions: 9. The value of 1 – β gives the a. Probability of committing a Type I error b. Probability of committing a Type II error c. Power of the test 10. A two-tailed test is a test with a. Two ...Employees of a large corporation are concerned about the declining quality of medical services provided by their group health insurance. A random sample of 100 office visits by employees of this corporation to primary care ...Describe the sampling distribution of 1 – 2 for two independent samples when σ1 and σ2 are known and either both sample sizes are large or both populations are normally distributed. What are the mean and standard ...A high school counselor wanted to know if tenth-graders at her high school tend to have more free time than the twelfth-graders. She took random samples of 25 tenth-graders and 23 twelfth-graders. Each student was asked to ...Post your question

0