The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Assume the mileage wear follows the normal distribution and the standard deviation of the distribution is 5,000 miles. Crosset Truck Company bought 48 tires and found that the mean mileage for its trucks is 59,500 miles. Crosset would like to know if their experience is different from the manufacturer's claim. a. State the null hypothesis and the alternate hypothesis. HO: p= H1:p # b. State whether the decision rule is true or false: Reject He if z<-1.96 or z>1.96 using a 0.05 significance level. O True O False

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### Statistical Analysis Exercise

#### c. Compute the Value of the Test Statistic

*(Note: If the value is negative, it should be indicated by a minus sign. Please round your answer to one decimal place.)*

- **Value of the Test Statistic:**
  - [Input box]

#### d. Decision Regarding \( H_0 \)

- What is your decision regarding \( H_0 \)?
  - [ ] Reject \( H_0 \)
  - [ ] Do not reject \( H_0 \)

#### e. Determine the p-value

*(Note: Round your answer to four decimal places.)*

- **p-value:**
  - [Input box]
Transcribed Image Text:### Statistical Analysis Exercise #### c. Compute the Value of the Test Statistic *(Note: If the value is negative, it should be indicated by a minus sign. Please round your answer to one decimal place.)* - **Value of the Test Statistic:** - [Input box] #### d. Decision Regarding \( H_0 \) - What is your decision regarding \( H_0 \)? - [ ] Reject \( H_0 \) - [ ] Do not reject \( H_0 \) #### e. Determine the p-value *(Note: Round your answer to four decimal places.)* - **p-value:** - [Input box]
## Hypothesis Testing for Tire Mileage

The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Assume the mileage wear follows the normal distribution and the standard deviation of the distribution is 5,000 miles. Crosset Truck Company bought 48 tires and found that the mean mileage for its trucks is 59,500 miles. Crosset would like to know if their experience is different from the manufacturer’s claim.

### a. State the Null Hypothesis and the Alternate Hypothesis.

- Null Hypothesis (\(H_0\)): \(\mu = 60,000\)
- Alternate Hypothesis (\(H_1\)): \(\mu \neq 60,000\)

### b. State whether the decision rule is true or false:

"Reject \(H_0\) if \(z < -1.96\) or \(z > 1.96\) using a 0.05 significance level."

- Options: 
  - True
  - False
Transcribed Image Text:## Hypothesis Testing for Tire Mileage The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Assume the mileage wear follows the normal distribution and the standard deviation of the distribution is 5,000 miles. Crosset Truck Company bought 48 tires and found that the mean mileage for its trucks is 59,500 miles. Crosset would like to know if their experience is different from the manufacturer’s claim. ### a. State the Null Hypothesis and the Alternate Hypothesis. - Null Hypothesis (\(H_0\)): \(\mu = 60,000\) - Alternate Hypothesis (\(H_1\)): \(\mu \neq 60,000\) ### b. State whether the decision rule is true or false: "Reject \(H_0\) if \(z < -1.96\) or \(z > 1.96\) using a 0.05 significance level." - Options: - True - False
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