# Question: Given the following hypotheses H0 20 H1

Given the following hypotheses:

H0: µ ≥20

H1: µ < 20

A random sample of five resulted in the following values: 18, 15, 12, 19, and 21. Assume a normal population. Using the .01 significance level, can we conclude the population mean is less than 20?

a. State the decision rule.

b. Compute the value of the test statistic.

c. What is your decision regarding the null hypothesis?

d. Estimate the p-value.

H0: µ ≥20

H1: µ < 20

A random sample of five resulted in the following values: 18, 15, 12, 19, and 21. Assume a normal population. Using the .01 significance level, can we conclude the population mean is less than 20?

a. State the decision rule.

b. Compute the value of the test statistic.

c. What is your decision regarding the null hypothesis?

d. Estimate the p-value.

## Relevant Questions

Given the following hypotheses:H0: µ = 100H1: µ ≠ 100A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 111. Assume a normal population. Using the .05 significance level, can we ...According to the local union president, the mean gross income of plumbers in the Salt Lake City area follows the normal probability distribution with a mean of $45,000 and a standard deviation of $3,000. A recent ...A recent article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.0 hours. You believe this figure is too large and decide to conduct your own test. In a random sample of 60 ...Listed below is the rate of return for one year (reported in percent) for a sample of 12 mutual funds that are classified as taxable money market funds.Using the .05 significance level, is it reasonable to conclude that the ...The following null and alternate hypotheses are given.H0: µ ≤ 50H1: µ >50Suppose the population standard deviation is 10. The probability of a Type I error is set at .01 and the probability of a Type II error at .30. ...Post your question