Math / Data & Statistics

QuestionA data set includes wait times (minutes) for the Tower of Terror ride at Walt Disney World's Hollywood Studios theme park at 5:00 PM. Using 35 of the times to test the claim that the mean of all such wait times is more than 30 minutes, the accompanying Excel display is obtained. Test the given claim by using the display provided from Excel. Use a 0.05 significance level.
Click the icon to view the Excel display.
Identify the null and alternative hypotheses. $H_{0}: \mu=30$ $H_{1}: \mu>30$ (Type integers or decimals. Do not round.) Identify the test statistic. 1.02 (Round to two decimal places as needed.) Identify the P -value. 0.157 (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. $\square$ the null hypothesis. There $\square$ sufficient evidence at the 0.05 significance level to $\square$ the claim that the population mean of all wait times for the Tower of Terror ride at 5:00 PM is more than 30 minutes.

Studdy Solution

STEP 1

1. The sample size is 35 wait times.
2. The significance level is $\alpha = 0.05$ .
3. The null hypothesis is $H_0: \mu = 30$ .
4. The alternative hypothesis is $H_1: \mu > 30$ .
5. The test statistic is 1.02.
6. The P-value is 0.157.

STEP 2

1. Identify the null and alternative hypotheses.
2. Identify the test statistic.
3. Identify the P-value.
4. Compare the P-value to the significance level.
5. State the conclusion about the null hypothesis.
6. State the final conclusion about the original claim.

STEP 3

Identify the null and alternative hypotheses:
$H_0: \mu = 30$ $H_1: \mu > 30$

STEP 4

Identify the test statistic:
The test statistic is 1.02.

STEP 5

Identify the P-value:
The P-value is 0.157.

STEP 6

Compare the P-value to the significance level:
Since the P-value (0.157) is greater than the significance level (0.05), we do not reject the null hypothesis.

STEP 7

State the conclusion about the null hypothesis:
Do not reject the null hypothesis.

STEP 8

State the final conclusion about the original claim:
There is not sufficient evidence at the 0.05 significance level to support the claim that the population mean of all wait times for the Tower of Terror ride at 5:00 PM is more than 30 minutes.

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Studdy Solution

STEP 1

1. The sample size is 35 wait times.
2. The significance level is $\alpha = 0.05$ .
3. The null hypothesis is $H_0: \mu = 30$ .
4. The alternative hypothesis is $H_1: \mu > 30$ .
5. The test statistic is 1.02.
6. The P-value is 0.157.

STEP 2

1. Identify the null and alternative hypotheses.
2. Identify the test statistic.
3. Identify the P-value.
4. Compare the P-value to the significance level.
5. State the conclusion about the null hypothesis.
6. State the final conclusion about the original claim.

STEP 3

Identify the null and alternative hypotheses:
$H_0: \mu = 30$ $H_1: \mu > 30$

STEP 4

Identify the test statistic:
The test statistic is 1.02.

STEP 5

Identify the P-value:
The P-value is 0.157.

STEP 6

Compare the P-value to the significance level:
Since the P-value (0.157) is greater than the significance level (0.05), we do not reject the null hypothesis.

STEP 7

State the conclusion about the null hypothesis:
Do not reject the null hypothesis.

STEP 8

State the final conclusion about the original claim:
There is not sufficient evidence at the 0.05 significance level to support the claim that the population mean of all wait times for the Tower of Terror ride at 5:00 PM is more than 30 minutes.

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Studdy Solution

STEP 1

1. The sample size is 35 wait times.2. The significance level is α=0.05 \alpha = 0.05 α=0.05.3. The null hypothesis is H0:μ=30 H_0: \mu = 30 H0​:μ=30.4. The alternative hypothesis is H1:μ>30 H_1: \mu > 30 H1​:μ>30.5. The test statistic is 1.02.6. The P-value is 0.157.

STEP 2

1. Identify the null and alternative hypotheses.2. Identify the test statistic.3. Identify the P-value.4. Compare the P-value to the significance level.5. State the conclusion about the null hypothesis.6. State the final conclusion about the original claim.

STEP 3

Identify the null and alternative hypotheses:H0:μ=30 H_0: \mu = 30 H0​:μ=30 H1:μ>30 H_1: \mu > 30 H1​:μ>30

STEP 4

Identify the test statistic:The test statistic is 1.02.

STEP 5

Identify the P-value:The P-value is 0.157.

STEP 6

Compare the P-value to the significance level:Since the P-value (0.157) is greater than the significance level (0.05), we do not reject the null hypothesis.

STEP 7

State the conclusion about the null hypothesis:Do not reject the null hypothesis.

STEP 8

State the final conclusion about the original claim:There is not sufficient evidence at the 0.05 significance level to support the claim that the population mean of all wait times for the Tower of Terror ride at 5:00 PM is more than 30 minutes.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. The sample size is 35 wait times.
2. The significance level is $\alpha = 0.05$ .
3. The null hypothesis is $H_0: \mu = 30$ .
4. The alternative hypothesis is $H_1: \mu > 30$ .
5. The test statistic is 1.02.
6. The P-value is 0.157.

1. Identify the null and alternative hypotheses.
2. Identify the test statistic.
3. Identify the P-value.
4. Compare the P-value to the significance level.
5. State the conclusion about the null hypothesis.
6. State the final conclusion about the original claim.

Identify the null and alternative hypotheses:
$H_0: \mu = 30$ $H_1: \mu > 30$

Identify the test statistic:
The test statistic is 1.02.

Identify the P-value:
The P-value is 0.157.

Compare the P-value to the significance level:
Since the P-value (0.157) is greater than the significance level (0.05), we do not reject the null hypothesis.

State the conclusion about the null hypothesis:
Do not reject the null hypothesis.

State the final conclusion about the original claim:
There is not sufficient evidence at the 0.05 significance level to support the claim that the population mean of all wait times for the Tower of Terror ride at 5:00 PM is more than 30 minutes.