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. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly inconsistent with the claim?

Question

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. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly inconsistent with the claim? 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Show work please In a sample of 390 people attending a concert, 60% stated that the venue was a good...

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will an...

Q: The average price of a college math textbook is $162 and the standard deviation is $25. Suppose that...

A: Given that  μ=162σ=25n=11 1. Third quartile for the average textbook price for this sample size:    ...

Q: Suppose a life insurance company sells a ​$290,000 ​1-year term life insurance policy to a 20​-year-...

A: Given that :  A life insurance company sells a $290,000 1 -year term life insurance policy to a 20 -...

Q: Do the following for the specified one-mean t-test. a. Use a t-table to estimate the P-value. b. Bas...

A: Here,n = 23t = 2.381Degree of freedom = n-1 = 22

Q: How many retired people should be sampled if we want to calculate with 92% confidence the true mean ...

A: The provided information are: Confidence level = 92% Margin of error (E) = 0.8 Population standard d...

Q: Statistics Question

A: As we are authorized to answer only question with maximum 3 subparts for each question and that you ...

Q: The owner of a computer repair shop has determined that their daily revenue has mean $7200 and stand...

A: Let X be the daily revenue X has mean μ = $7200 and standard deviation σ = $1200 Sample size n = 30 ...

Q: State the meaning of µ1 and µ2 first.  The question here is:  Is there evidence from the sample data...

A: Click to see the answer

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with ...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: If 73.3% of the 45 students in our class are under the age of 20, find the 95% confidence interval f...

A: Given, p = 0.733 n = 45 1 - α = 0.95α = 0.05α2 = 0.025     To find, 95% confidence interval for the ...

Q: Number 20

A: The data is given as:   Weight Price 0.3 510 0.4 1151 0.5 1343 0.5 1410 1 5669 0.7 2...

Q: Below are data on economic condition, probability, and expected return on stock and bond funds in a ...

A: Click to see the answer

Q: Acme Trucking claims the average hourly salary of its mechanics is $9.25, with a standard deviation ...

A: Null Hypothesis: H0:μ≥9.25 Alternative Hypothesis: H1:μ<9.25 Given information: μ=9.25x¯=8.95σ=1....

Q: f the F ratio in an ANOVA is more extreme than the cutoff score, what does this suggest?

A: Solution: If the F ratio in an ANOVA is more extreme than the cutoff score (critical value), then it...

Q: Write the binomial probability and the normal probability for the shaded region of the graph. Find t...

A: Here , Continuity correction concept is applicable.   The result are about the same  

Q: The p-value can be any negative value. can be any positive value. must be a number between zero and ...

A: P-value is given.

Q: What is the prediction interval equation for multiple linear regression when given σ ?

A: Prediction interval for multiple linear regression is given by Prediction interval  

Q: A case-control (or retrospective) study was conducted to investigate a relationship between the colo...

A: Given: A case-control study on the color of helmet and injuries to the motorcycle drivers.

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean...

A: we are suppose to answer three sub parts .

Q: If a hypothesis test leads to the rejection of the null hypothesis, a have been committed. Type I er...

A: Given that the hypothesis test leads to the rejection of the null hypothesis.

Q: A researcher would like to examine how the chemical tryptophan, contained in foods such as turkey, c...

A: A researcher would like to examine how the chemical tryptophan, contained in foods such as turkey, c...

Q: please answer d, e, f, g thanks

A: Given information- Population mean, μ = 12 minutes Sample size, n = 14 Sample mean, x-bar = 11.4286 ...

Q: Express the confidence interval (62.1%, 70.5%) in the form of p^±E. ___ %  ±  ____ %

A: From the provided information, Confidence interval (62.1%, 70.5%)

Q: Dental anxiety study. Refer to the BMC Oral Health (Vol. 9, 2009) study of adults who completed the ...

A: From the provided information, Sample size (n) = 15 Sample mean (x̅) = 10.7 Sample standard deviatio...

Q: A random sample of 36 students selected from the student body of a large university had an average a...

A: Following information is given: sample size = 36 students sample mean = 21 years sample standard dev...

Q: You may need to use the appropriate appendix table to answer this question. Read the z statistic fro...

A: Given that, One-tailed test (lower tail) α=0.0885

Q: An electronics manufacturing process has a scheduled mean completion time of 75 minutes. It is claim...

A: Click to see the answer

Q: The following table gives information on the calorie count and grams of fat for the 11 types of bage...

A: I am using Excel and the command is as follows   Data > Data analysis > Regression > Select...

Q: In order to test the following hypotheses at an a level of significance Ho:HS 800 H: u > 800 the nul...

A: Given hypothesis is, H0:μ≤800Ha:μ>800 Here, the alternative hypothesis is greater than case. That...

Q: For normal distribution with a mean of 278 and a standard deviation of 25, what is the Z value for a...

A: Click to see the answer

Q: The data below are yields for two different types of corn seed that were used on adjacent plots of l...

A: From the given information, the pair of observations are 8, confidence level is 95%, CI=d¯-tα2×sed¯,...

Q: Given below are the sodium contents in milligrams for seven brands of hot dogs rated as “very good” ...

A: Click to see the answer

Q: For a confidence level of 80% with a sample size of 32, find the critical t value. Submit Question

A: Provided information is: n=32, Confidence level is 80% (1-α)=0.8 α=0.2

Q: Show work please    If SAT scores are normally distributed with a mean of 500 and a standard deviati...

A: Given that  μ=500σ=100 Let a be the minimum score is needed to ensure that you are in the top 7%. Th...

Q: Please solve for all parts

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: P(z < -2.61)

A: Z score = -2.61 Left tailed test

Q: According to a reputable magazine, 35% of people in a certain large country have sleepwalked at leas...

A: Click to see the answer

Q: I am having trouble solving this problem.  Can you please provide me with some help?  Thank you.  I ...

A: State the hypotheses. That is, there is no evidence to conclude that the sample proportion differen...

Q: The table below includes results from polygraph (lie detector) experiments conducted by researchers....

A: State the hypotheses. Null hypothesis: Alternative hypothesis: Correct option: Option D

Q: Minnesota had the highest turnout rate of any state for the 2016 presidential election. Political an...

A: (a) State the hypotheses. That is, there is no evidence to conclude that registered voters in rural...

Q: A data set includes weights of garbage discarded in one week from 62 different households. The paire...

A: Correlation coefficient measures the strength and direction of the linear relationship between two v...

Q: A group of 44 people were randomized into two equal-sized groups (22 in each). The treatment group a...

A: Click to see the answer

Q: On a standardized spatial skills task, normative data reveal that people typically get μ = 15 correc...

A: On a standardized spatial skills task, normative data reveal that people typically get μ = 15 correc...

Q: In a survey funded by the University of Washington School of Medicine, 1,580 of 2,000 adult Seattle ...

A: n ≤0.05N ======================

Q: The researcher rejected the null hypothesis at the 95% confidence level where F(2, 14) = 53.54, p = ...

A: F-table  / Technology can be used to find P-value. I am using Excel function, 

Q: answer c

A: Use T- distribution.

Q: Find the slope m for the least-squares regression line. x y 5 8 9 10 11 13 17 19

A: Click to see the answer

Q: As a general guideline, the research hypothesis should be stated as the O null hypothesis. tentative...

A: Null and alternative hypotheses: Null hypothesis: Null hypothesis is a statement which is tested for...