Question

Consider the following hypotheses:

H0: μ ≥ 199 HA: μ < 199

A sample of 98 observations results in a sample mean of 195. The population standard deviation is known to be 32.

Calculate the value of the test statistic.

a-2. Find the p-value.

0.025 p-value < 0.05

0.05 p-value < 0.10

p-value greater than or equal to 0.10

p-value < 0.01

p-value < 0.025

b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05?

No since the p-value is greater than the significance level.

Yes since the p-value is less than the significance level.

Yes since the p-value is greater than the significance level

No since the p-value is less than the significance level.

c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?

No since the p-value is greater than the significance level.

No since the p-value is less than the significance level.

Yes since the p-value is greater than the significance level.

Yes since the p-value is less than the significance level.

d. Interpret the results at α = 0.01.

We cannot conclude that the population mean is less than 199.

We conclude that the population mean is less than 199.

We conclude that the population proportion differs from 199.

We conclude that the population proportion equals 199.

Answer 1

a.

p-value greater than or equal to 0.10

b.

No since the p-value is greater than the significance level.

c.

No since the p-value is greater than the significance level.

d.

We cannot conclude that the population mean is less than 199.