A newspaper article says that on the average, college freshmen spend 7.5 hours a week going to parties. 14 One administrator does not believe that these figures apply at her college, which has nearly 3,000 freshmen. She takes a simple random sample of 100 freshmen, and interviews them. On average, they report 6.6 hours a week going to parties, and the SD is 9 hours. Is the difference between 6.6 and 7.5 real? (a) Formulate the null and alternative hypotheses in terms of a box model. (b) Fill in the blanks. The null says that the average of the box is. The alternative says that average of the box is. (c) Now answer the question: is the difference real?

Question

Francisco Carrillo

Physics

1 October, 22:39

A newspaper article says that on the average, college freshmen spend 7.5 hours a week going to parties. 14 One administrator does not believe that these figures apply at her college, which has nearly 3,000 freshmen. She takes a simple random sample of 100 freshmen, and interviews them. On average, they report 6.6 hours a week going to parties, and the SD is 9 hours. Is the difference between 6.6 and 7.5 real? (a) Formulate the null and alternative hypotheses in terms of a box model. (b) Fill in the blanks. The null says that the average of the box is. The alternative says that average of the box is. (c) Now answer the question: is the difference real?

+3

Answers (1)

Know the Answer?

Skyla Hull · Answer 1

a.

The hypothesis Null and alternative can be formulate as a:

H0 = μ = 7.5 hr / week

Hₐ = μ < 7.5 hr / week

b.

The Null hypothesis is true and the administrator believes that the college freshman dot not spend 7.5 hours

E (x) = μ = 7.5 hr / week

SE (x) = σ / √ n = 9 / √100

SE (x) = 0.9

Z' = 6.6 - 7.5 / SE

Z' = 6.6 - 7.5 / 0.9 = - 1

The empirical rule in this case is use

% = (100 - 68) / 2 = 16%

c.

There is not strong arguments of Null Hypothesis so can be accept the H0 and is no significantly different from the report of 7.5 hr / week