Question

A tire company claims that the lifetimes of its tires average 50500 miles. The standard deviation...

A tire company claims that the lifetimes of its tires average 50500 miles. The standard deviation of tire lifetimes is known to be 5500 miles. You sample 150 tires and will test the hypothesis that the mean tire lifetime is at least 50500 miles against the alternative that it is less. Assume, in fact, that the true mean lifetime is 50000 miles.

You are given the opportunity to sample more tires. How many tires should be sampled in total so that the power is 0.85 if the test is made at the 5% level? Round the answer to the next largest integer.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

please like.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A particular brand of tires claims that its snow tire averages less than 50,000 miles before...
A particular brand of tires claims that its snow tire averages less than 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using α = 0.05 to test the claim.
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before...
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 29 tires surveyed, the mean lifespan was 46,600 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly consistent with the claim? Note: If you are using...
1. A company claims that the average lifespan of a bicycle tire that they manufacture is...
1. A company claims that the average lifespan of a bicycle tire that they manufacture is 1200 miles. You randomly and independently collect a sample of 31 of these tires and find that the average distance these tires lasted was 1125.7 miles, with a standard deviation of 275 miles. A 90% confidence interval for the population mean lifetime of these tires is (1041.9, 1209.5). Select all true statements. a. The confidence interval indicates that the company's claim that their tires...
Joe’s Tire Company claims their tires will last at least 60,000 miles in highway driving conditions....
Joe’s Tire Company claims their tires will last at least 60,000 miles in highway driving conditions. The editors of Tire magazine don’t think the tires last 60,000 miles, so they select 36 tires at random and test them. The tires they tested had a mean life of 58,500 miles and a standard deviation of 3,500 miles. Conduct a test to determine if Joe’s claim is accurate. Use a significance level of 0.05.
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before...
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8000. A survey of owners of that tire design is conducted. Of the 26 tires in the survey, the average lifespan was 46,700 miles with a standard deviation of 9800 miles. Do the data support the claim at the 5% level? Could someone explain how to...
6. Suppose a tire manufacturer claims that their tires are good for 40,000 miles. You wish...
6. Suppose a tire manufacturer claims that their tires are good for 40,000 miles. You wish to test their claim. A sample of 10 different cars using their tires shows an average lifetime of x¯ = 37,000 miles. What would be the form of your alternate hypothesis. A. H1 : µ < 37,000 B. H1 : µ > 37,000 C. H1 : µ < 40,000 D. H1 : µ > 40,000 E. other value 7. Suppose a candidate in a...
A tire company claims that their new tires will have an average life of 139000 miles....
A tire company claims that their new tires will have an average life of 139000 miles. A consumer group wishes to test that this claim is not true at the α = 0.05 level of significance. a) Which would be the correct hypotheses for this test? H 0 : μ = 139000 , H A : μ < 139000 H 0 : μ = 139000 , H A : μ ≠ 139000 H 0 : p = 139000 , H...
A company claims that the average lifespan of a bicycle tire that they manufacture is 1200...
A company claims that the average lifespan of a bicycle tire that they manufacture is 1200 miles. You randomly and independently collect a sample of 31 of these tires and find that the average distance these tires lasted was 1125.7 miles, with a standard deviation of 275 miles. You suspect the company is overstating how long their tires last. You formulate your suspicion as a left tailed hypothesis test. Your null hypothesis is "the average lifespan of these tires is...
Tire Life Prompt: A major tire manufacturer claims their heavy-duty truck tires have an average usage...
Tire Life Prompt: A major tire manufacturer claims their heavy-duty truck tires have an average usage life of 71,000 miles. The shipping department of the company you work for has been using these tires for several years and feels they are not getting the mileage promised. The manager pulled 25 maintenance records and found an average tire life of 68,050 miles, with a standard deviation of 11,602 miles. He asks you to conduct a test of hypothesis to determine if...
) A tire manufacturing company is reviewing its warranty for their rainmaker tire. The warranty is...
) A tire manufacturing company is reviewing its warranty for their rainmaker tire. The warranty is for 40,000 miles. The distribution of tire wear is normally distributed with a population standard deviation of 15,000 miles. The tire company believes that the tire actually lasts more than 40,000 miles. A sample of 49 tires revealed that the mean number of miles is 45,000 miles. Test the hypothesis with a 0.05 significance level. What is our decision? A) Accept the null hypothesis...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT