Question

The bottler of a certain soft drink claims their equipment to be accurate and that the variance of all filled bottles is .05 or less. The null hypothesis a test to confirm the claim would be written as Select one: a. H_0: sigma^02 lessthanorequalto .05. b. H_0 sigma^2 < .05.c. H_0: sigma^2 > .05. d. H_0: sigma^2

Answer 1

Option A)
`H_(0): \sigma^2 \leq 0.05`

Explanation:

We are given the following in the question:

Claim:

The bottler of a certain soft drink claims their equipment to be accurate.

Hypothesis:

A hypothesis is carried out to check whether the variance of all filled bottles is 0.05 or more

Null hypothesis:

The null hypothesis states that the there is no difference in the variation from the variation of population. The variance can be same or less than the population variance.

`H_(0): \sigma^2 \leq 0.05`

Alternate Hypothesis:

It states that the variance is more than he claimed variance of the population.

`H_(A): \sigma^2 > 0.05`

Thus, the correct answer is

Option A)
`H_(0): \sigma^2 \leq 0.05`