Question

CCN and ActMedia provided a television channel targeted to individuals waiting in supermarket checkout lines. The channel showed news, short features, and advertisements. The length of the program was based on the assumption that the population mean time a shopper stands in a supermarket checkout line is 8 minutes. A sample of actual waiting times will be used to test this assumption and determine whether actual mean waiting time differs from this standard.

(a)

Formulate the hypotheses for this application.

H₀: μ > 8

H_a: μ ≤ 8

H₀: μ = 8

H_a: μ ≠ 8

    

H₀: μ ≤ 8

H_a: μ > 8

H₀: μ < 8

H_a: μ ≥ 8

H₀: μ ≥ 8

H_a: μ < 8

(b)

A sample of 135 shoppers showed a sample mean waiting time of 8.4 minutes. Assume a population standard deviation of

σ = 3.2 minutes.

What is the test statistic? (Round your answer to two decimal places.)

What is the p-value? (Round your answer to four decimal places.)

p-value =

(c)

At

α = 0.05,

what is your conclusion?

Do not reject H₀. There is insufficient evidence to conclude that the population mean waiting time differs from 8 minutes.Reject H₀. There is insufficient evidence to conclude that the population mean waiting time differs from 8 minutes.    Reject H₀. There is sufficient evidence to conclude that the population mean waiting time differs from 8 minutes.Do not reject H₀. There is sufficient evidence to conclude that the population mean waiting time differs from 8 minutes.

(d)

Compute a 95% confidence interval for the population mean. (Round your answers to two decimal places.)

to

Does it support your conclusion?

The confidence interval  ---Select--- contains does not contain the hypothesized value of μ₀, therefore we  ---Select--- reject do not reject H₀. The conclusion  ---Select--- is is not the same as in part (c)

Answer 1

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