Question

A retired statistics professor has recorded results for decades. The mean score for the population of her students is 82.4 with a standard deviation of 6.5 . In the last year, her mean seems to have changed. She bases this on a random sample of 25 students whose scores had a mean of 80 with a standard deviation of 4.2 . Test the professor's claim that the current mean is different from 82.4 . Use α = .05 . Assume that σ is known to be 6.5 .

33)

Express the claim in symbolic form.

Group of answer choices

A) μ ≠ 82.4

B) μ ≥ 82.4

C)μ = 82.4

D) μ < 82.4

E) μ ≤ 82.4

F) μ > 82.4

34)

What is the alternative hypothesis, H₁?

Group of answer choices

A) μ = 82.4

B) μ < 82.4

C) μ ≠ 82.4

D)μ ≥ 82.4

E) μ > 82.4

F) μ ≤ 82.4

35)Find the critical value(s). (Round to the nearest hundredth. If more than one value is found, enter the smallest critical value.)

36)Find the value of the test statistic. (Round to the nearest thousandth.)

37)

What is the statistical conclusion?

Group of answer choices

A) Reject H₀

B) Fail to reject H₀

38)

State the conclusion in words.

Group of answer choices

A) There is sufficient evidence to warrant rejection of the claim that the current mean is different from 82.4 .

B) There is not sufficient sample evidence to support the claim that the current mean is different from 82.4 .

C) There is not sufficient evidence to warrant rejection of the claim that the current mean is different from 82.4 .

D) The sample data support the claim that the current mean is different from 82.4 .

Answer 1