Math / Data & Statistics

Questionmore than 30 minutes, the accompanying Excel display Click the icon to view the Excel display.
Identify the null and alternative hypotheses. $\mathrm{H}_{0}$ $\square$ $\square$ $\square$ $H_{1}$ $\square$ (Type integers or decimals. Do not round.)

Studdy Solution

STEP 1

1. The problem involves hypothesis testing for a population mean.
2. The claim is that the mean wait time is more than 30 minutes.
3. The significance level for the test is 0.05.

STEP 2

1. Define the null hypothesis ( $H_0$ ).
2. Define the alternative hypothesis ( $H_1$ ).

STEP 3

The null hypothesis ( $H_0$ ) typically represents a statement of no effect or no difference. In this context, it would state that the mean wait time is not more than 30 minutes. Therefore, the null hypothesis is:
$H_0: \mu \leq 30$

STEP 4

The alternative hypothesis ( $H_1$ ) represents the claim we are testing. In this context, it states that the mean wait time is more than 30 minutes. Therefore, the alternative hypothesis is:
$H_1: \mu > 30$
The null and alternative hypotheses are:
$H_0: \mu \leq 30$ $H_1: \mu > 30$

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