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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section: Chapter Questions
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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 Ho if z< -1.96 or z> 1.96 using a 0.05 significance level.
O True
O False
www
Transcribed Image Text: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 Ho if z< -1.96 or z> 1.96 using a 0.05 significance level. O True O False www
c. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal
places.)
Value of the test statistic
d. What is your decision regarding H₂?
O Reject He
O Do not reject He
e. What is the p-value? (Round z value to 2 decimal places and final answer to 4 decimal places.)
p-value
Transcribed Image Text:c. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Value of the test statistic d. What is your decision regarding H₂? O Reject He O Do not reject He e. What is the p-value? (Round z value to 2 decimal places and final answer to 4 decimal places.) p-value
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