**Question:**A used car dealer says that the mean price of a three-year-old sports utility vehicle is $20,000. You suspect this claim is incorrect and find that a random sample of 20 similar vehicles has a mean price of $20,752 and a standard deviation of $1920. Is there enough evidence to reject the claim at α = 0.05? Complete parts (a) through (e) below. Assume the population is normally distributed.---**(a) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.)**- A. $ t > $- B. $ t < $- C. $ t < $ and $ t > $---**(b) Find the standardized test statistic.**$ t = $ _____ (Round to two decimal places as needed.)---**(c) Decide whether to reject or fail to reject the null hypothesis.**- A. Reject $ H_0 $ because the test statistic is in the rejection region(s).- B. Fail to reject $ H_0 $ because the test statistic is not in the rejection region(s).- C. Fail to reject $ H_0 $ because the test statistic is in the rejection region(s).- D. Reject $ H_0 $ because the test statistic is not in the rejection region(s).---**(d) Interpret the decision in the context of the original claim.**- A. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is $20,000.- B. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $20,000.- C. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is not $20,000.- D. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is $20,000. ## Educational Resource: Hypothesis Testing for Vehicle Pricing### Problem StatementA used car dealer claims that the mean price of a three-year-old sports utility vehicle is $20,000. You suspect this claim is incorrect and find that a random sample of 20 similar vehicles has a mean price of $20,752 and a standard deviation of $1920. Is there enough evidence to reject the claim at α = 0.05? Complete parts (a) through (e) below. Assume the population is normally distributed.### (a) Write the claim mathematically and identify $ H_0 $ and $ H_a $.**Select the correct hypothesis statements:**- **A.** $ H_0: \mu \neq \$20,000 $ $ H_a: \mu = \$20,000 $- **B.** $ H_0: \mu = \$20,000 $ $ H_a: \mu < \$20,000 $- **C.** $ H_0: \mu > \$20,000 $ $ H_a: \mu \leq \$20,000 $- **D.** $ H_0: \mu \neq \$20,000 $ $ H_a: \mu = \$20,000 $- **E.** $ H_0: \mu = \$20,000 $ $ H_a: \mu \neq \$20,000 $- **F.** $ H_0: \mu = \$20,000 $ $ H_a: \mu > \$20,000 $ *(Correct option)*### (b) Find the critical value(s) and identify the rejection region(s).**What is (are) the critical value(s), $ t_0 $?**- $ t_0 = $ [Input field for critical value, rounded to three decimal places]**Determine the rejection region(s):**- **A.** $ t > $ [Input field]- **B.** $ t < $ [Input field]- **C.** $ t < t $- **D.** $ t < $ [Input field] and $ t > $ [Input field]### (c) Calculate the standardized test statistic $ t $.- $ t = $ [Input

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Answered: A used car dealer says that the mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A used car dealer says that the mean price of a three-year-old sports utility vehicle is $24,000. You suspect this claim is incorrect and find that a random sample of 24 similar vehicles has a mean price of $24 521 and a standard deviation of $1913. Is there enough evidence to reject the claim at a=0.05? Complete parts (a) through (e) below. Assume the population is normally distributed. ... (c) Find the standardized test statistic t. t= 1.33 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject Ho because the test statistic is in the rejection region(s). O B. Reject Ho because the test statistic is in the rejection region(s). Q C. Fail to reject Ho because the test statistic is not in the rejection region(s). O D. Reject Ho because the test statistic is not in the rejection region(s). (e) Interpret the decision in the context of the original claim. O A. At the 5% level of significance, there is sufficient…
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
b. In a class of twenty-five 15-year old girls the average height is M = 62.60 inches. The national average for girls at this age is reported as follows: µ = 63.80 inches with a standard deviation, s = 2.66 inches. Compute z score
you are interested in how many hours students study for a statistics exam each week and collect data from a small sample of students. you want this information to generalize to a larger population. the scores in your data set (representing hours of studying per week) include the following: 10,15, 12, 18, 19, 16, and 12. the standard deviation for this set of scores is ____. enter your answer rounded to two decimal places (i.e., 10.11, not 10, not 10.1, not 10.110)
The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 16 .Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places.____%b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue!_______people
2. The average gasoline price of one of the major oil companies has been $1.00 per gallon. Because of shortages in production of crude oil, it is believed that there has been a significant increase in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that the average price for the stations in the sample was $1.04. Assume that the standard deviation of the population (o) is $0.12. a) State the null and the alternative hypotheses for testing the belief. b) Describe a Type I error and a Type II error for this situation. c) What is the critical value at a = .05? d) what's your What is the t-statistic or z-statistic associated with the above sample results?
Please help me answer this.
According to a recent publication, the mean price of new mobile homes is $65,100. Assume a standard deviation of $7700. Let x denote the mean price of a sample of new mobile homes. a. For samples of 50 mobile homes, the mean and standard deviation of all possible sample mean prices are $_________ and $__________, respectively. (Round to the nearest cent as needed.) b. For samples of 200 mobile homes, the mean and standard deviation of all possible sample mean prices are $________and $_________, respectively. (Round to the nearest cent as needed.)
The results from a statistics class’ first test are as follows: The average grade obtained on the test by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: a. Approximately how many people received a failing grade (less than 65) b. What percentage of people received a grade between a 70 and a 91? c. What percentage of individuals received a score whose z-score was -.70 or less? d. What grade is required in order to be in the top 15 percent? The top 10 percent? e. What percentage of people received a grade between 85 and 95? f. What percentage of people received a grade of 94 or less? g. What grade is required to be in the bottom 20%? h. What z-score is required to be in the top 40%? i. What percentage of individuals have a z-score between -1 and 1.40? j. What percentage of individuals have a z-score between 1.05 and 1.40?
I need an APA write up description of the descriptives of this data set of the number of male and females who preferred hamburgers or hot dogs. (EXAMPLE: “The total sample was n=…, demographic breakup is ......The mean was...the Standard Deviation was…”) etc.

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