Question

Data: An automotive shop believes annual cost of automotive maintenance is over $3500. A random sample...

Data: An automotive shop believes annual cost of automotive maintenance is over $3500. A random sample of 8 cars has a sample mean of $3625 and a sample standard deviation of $225. At a 0.05 level of significance, do you have enough evidence to support the shop’s claim?

Determine the type of test:

Determine the rejection region:

Find the standardized test statistic

Decide whether to reject or fail to reject the null hypothesis and interpret the decision.

(a) Fail to Reject Ho: Not enough evidence to reject claim.

(b) Reject Ho: Not enough evidence to support claim

(c) Reject Ho: Enough evidence to support claim

(d) Reject Ho. Enough evidence to reject claim.

(e) Fail to Reject Ho: Not enough evidence to support claim

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A medical researcher says that less than 24​% of adults in a certain country are smokers....
A medical researcher says that less than 24​% of adults in a certain country are smokers. In a random sample of 200 adults from that​ country, 17.5​% say that they are smokers. At α=0.05​, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below. (a) Identify the claim and state H0 and HA (b) Find the critical​ value(s) and identify the rejection​ region(s). (c) Find the standardized test statistic z (d) Decide whether to reject...
is the difference between the mean annual salaries of statisticians in Region 1 and Region 2...
is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $6000? To decide, you selected a random sample of statisticians from each region. the results of each survey are shown. At alpha= 0.10, what should you conclude? x̅1= 66900 σ1= 8775 n1= 44 x̅2= 5700 σ2= 9250 n2= 42 A) choose the correct Ho and Ha B) Determine critical value(s) _______ C) Determine the rejection region _________ D) Calculate the standardized test...
A research center claims that at most 18% of U.S. adults’ online food purchases are for...
A research center claims that at most 18% of U.S. adults’ online food purchases are for snacks. In a random sample of 1995 U.S. adults, 20% say their online food purchases are for snacks. At ? = 0.05, is there enough evidence to support the center’s claim? a.) Identify ?0∶ _______________ and ??: ____________ b.) Find the standardized test statistic, z. ? = ?̂ ̅−? √??/? c.) For = 0.05, find and describe the rejection region. Identify and label the...
The annual salaries​ (in dollars) of 14 randomly chosen fire fighters are listed. At a=0.05​, is...
The annual salaries​ (in dollars) of 14 randomly chosen fire fighters are listed. At a=0.05​, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from $5400​? Assume the population is normally distributed. Complete parts​ (a) through​ (e) below. 50,760 40,978 52,376 46,496 41,734 40,201 51,108 52,047 43,817 34,951 35,075 28,241 32,700 37,958 Write the claim mathematically and identify Ho and Ha Find the critical value x^2o= Identify the rejection region Find...
A humane society claims that less than 33​% of U.S. households own a dog. In a...
A humane society claims that less than 33​% of U.S. households own a dog. In a random sample of 404 U.S.​ households, 152 say they own a dog. At a =0.10​, is there enough evidence to support the​ society's claim? ​(a) Write the claim mathematically and identify H0 and Ha. ​(b) Find the critical​ value(s) and identify the rejection​ region(s). (c) Find the standardized test statistic.​ (d) Decide whether to reject or fail to reject the null​ hypothesis, and​ (e)...
Hypothesis Testing Using Rejection Regions. In Exercises 7–12, (a) identify the claim and state H0 and...
Hypothesis Testing Using Rejection Regions. In Exercises 7–12, (a) identify the claim and state H0 and Ha, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic z, (d) decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. 7. Vaccination Requirement A medical researcher says that less than 80% of U.S. adults think that healthy children should be required to...
A humane society claims that less than thirty two percent of U.S. households own a dog....
A humane society claims that less than thirty two percent of U.S. households own a dog. In a random sample of four hundred and nine U.S.​ households, 153 say they own a dog. At alphaαequals=0.04 is there enough evidence to support the​ society's claim?​(a) Write the claim mathematically and identify Upper H 0H0 and Upper H Subscript aHa. ​(b) Find the critical​ value(s) and identify the rejection​ region(s). (c) Find the standardized test statistic.​ (d) Decide whether to reject or...
A humane society claims that less than 34​% of U.S. households own a dog. In a...
A humane society claims that less than 34​% of U.S. households own a dog. In a random sample of 399 U.S.​ households, 151 say they own a dog. At alphaequals0.04​, is there enough evidence to support the​ society's claim? ​(a) Write the claim mathematically and identify Upper H 0 and Upper H Subscript a. ​(b) Find the critical​ value(s) and identify the rejection​ region(s). (c) Find the standardized test statistic.​ (d) Decide whether to reject or fail to reject the...
In a survey of one hundred and eight five females who recently completed high​ school, eighty...
In a survey of one hundred and eight five females who recently completed high​ school, eighty percent were enrolled in college. In a survey of one hundred and fifty males who recently completed high​ school, sixty eight percent were enrolled in college. At α=0.07​, can you reject the claim that there is no difference in the proportion of college enrollees between the two​ groups? Assume the random samples are independent. Complete parts​ (a) through​ (e). ​(a) Identify the claim and...
The observations in the sample are random and independent. The underlying population distribution is approximately normal....
The observations in the sample are random and independent. The underlying population distribution is approximately normal. We consider H0: =15 against Ha: 15. with =0.05. Sample statistics: = 16, sx= 0.75, n= 10. 1. For the given data, find the test statistic t-test=4.22 t-test=0.42 t-test=0.75 z-test=8.44 z-test=7.5 2. Decide whether the test statistic is in the rejection region and whether you should reject or fail to reject the null hypothesis. the test statistic is in the rejection region, reject the...