You are given the following information obtained from a random sample of 4 observations.

• 24
• 48
• 33
• 55

You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.)

(a) State the null and the alternative hypotheses

H₀:

H_a:

(b) Determine the test statistic. (Round your answer to three decimal places.)

(c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49.Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the mean of the population is different from 49.

Reject H₀. There is insufficient evidence to conclude that the mean of the population is different from 49.

Do not reject H₀. There is insufficient evidence to conclude that the mean of the population is different from 49.

Do not reject H₀. There is sufficient evidence to conclude that the mean of the population is different from 49.