Question

A researcher collated data on Americans' leisure time activities. She found the mean number of hours spent watching television each weekday to be 2.7 hours with a standard deviation of 0.2 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 40 football teammates and found the mean to be 2.3. Which of the following are the correct null and alternate hypotheses?

A. H0: u=2.7; Ha: u < 2.7
B. H0: u ≠ 2.7; Ha: u=2.3
C. H0: u=2.7; Ha: u≠ 2.7
D. H0: u=2.7; Ha: u≥ 2.3

Answer 1

option a

Explanation:

did on edge

Answer 2

Answer: A.
`H_0:\mu=2.7\ ;\ H_a:\mu<2.7`

Explanation:

Let
`\mu` be the population mean.

Given : A researcher collated data on Americans' leisure time activities. She found the mean number of hours spent watching television each weekday to be 2.7 hours with a standard deviation of 0.2 hours.

i.e.
`\mu=2.7`

Jonathan believes that his football team buddies watch less television than the average American.

i.e.
`\mu<2.7`

Since, the null hypotheses contains equals to sign.

Then, the correct null and alternate hypotheses will be :-

`H_0:\mu=2.7\ ;\ H_a:\mu<2.7`