Question

Which is cheaper: eating out or dining in? The mean cost of a flank steak, broccoli, and rice bought at the grocery store costs $13.04 (Money.msn website, November 7, 2012). A sample of 100 neighborhood restaurants showed a mean price of $12.75 and a standard deviation of $2 for a comparable restaurant meal.a. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean cost of a restaurant meal is less than fixing a comparable meal at home.H0: - Select your answer-greater than or equal to 13.04greater than 13.04less than or equal to 13.04less than 13.04equal to 13.04not equal to 13.04Item 1Ha: - Select your answer-greater than or equal to 13.04greater than 13.04less than or equal to 13.04less than 13.04equal to 13.04not equal to 13.04

Answer 1

It's cheaper to eat out.

Explanation:

Answer 2

The correct choices for the hypotheses are:

`\[ H_0: \mu \geq 13.04 \]`

`\[ H_a: \mu < 13.04 \]`

We want to test whether the mean cost of a restaurant meal is less than fixing a comparable meal at home.

Let:

`\(\mu\)` be the population mean cost of fixing a meal at home.

`\(\bar{x}\)` be the sample mean cost of a restaurant meal.

The hypotheses are:

`\[ H_0: \mu \geq 13.04 \]`

This null hypothesis
`(\(H_0\))` assumes that the mean cost of fixing a meal at home is greater than or equal to $13.04.

`\[ H_a: \mu < 13.04 \]`

This alternative hypothesis
`(\(H_a\))` suggests that the mean cost of fixing a meal at home is less than $13.04.

So, the correct choices for the hypotheses are:

`\[ H_0: \mu \geq 13.04 \]`

`\[ H_a: \mu < 13.04 \]`