A used car dealer says that the mean price of a three-year-old sports utility vehicle is $21,000. You suspect this claim is incorrect and find that a random sample of 21 similarvehicles has a mean price of $21,696 and a standard deviation of $1956. Is there enough evidence to reject the claim at a= 0.05? Complete parts (a) through (e) below. Assumethe population is normally distributed.(a) Write the claim mathematically and identify Ho and HaWhich of the following correctly states Ho and Ha?O A. Ho: u#$21,000O B. Ho: u=$21,000Ha µ= $21,000O C. Ho: µ2 $21,000Ha: µ< $21,000Ha µ<$21,000O D. Ho: u= $21,000H u> $21,000O E. Ho: µ> $21,000Ha us$21,000F. Ho: u=$21,000H2 u#$21,000(b) Find the critical value(s) and identify the rejection region(s).What is(are) the critical value(s), to?to =D(Use a comma to separate answers as needed. Round to three decimal places as needed.)<>Clear allCheck answerHelp me solve thisView an exampleGet more help -P PearsonCopyright © 2021 Pearson Education Inc. All rights reserved. Terms of Use I Privacy Policy I Permissions I Contact Us6:08 PM72°F12/9/2021Co search

Answered: Aused 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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Suppose that the heights of adult men in the United States are normally distributed with a mean of 69.5 inches and a standard deviation of 2.5 inches. What proportion of the adult men in the United States are less than 6 feet tall? (Hint: 6 feet 72 inches.) Round your answer to at least four decimal places.
Suppose that mean retail price per gallon of regular grade gasoline is $3.41 with a standard deviation of $0.10 and that the retail price per gallon has a bell-shaped distribution. NOTE: Please use empirical rule approximations for this problem. a. What percentage of regular grade gasoline sells for between $3.21 and $3.61 per gallon (to 1 decimal)? b. What percentage of regular grade gasoline sells for between $3.21 and $3.51 per gallon (to 1 decimal)? c. What percentage of regular grade gasoline sells for more than $3.51 per gallon (to 1 decimal)?
In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where O represents the worst possible life and 10 represents the best possible life. The mean response was 5.4 with a standard deviation of 2.6. (a) What response represents the 92nd percentile? (b) What response represents the 65th percentile? (c) What response represents the first quartile? ..... (a) The response that represents the 92nd percentile is (Round to two decimal places as needed.) (b) The response that represents the 65th percentile is (Round to two decimal places as needed.) (c) The response that represents the first quartile is (Round to two decimal places as needed.)
Gestation Periods of Humans. For humans, gestation periods are normally distributed with a mean of 266 days and a standard deviation of 16 days. Suppose that you observe the gestation periods for a sample of nine humans. a. Theoretically, what are the mean and standard deviation of all possible sample means? b. Use the technology of your choice to simulate 2000 samples of nine human gestation periods each. c. Determine the mean of each of the 2000 samples you obtained in part (b). d. Roughly what would you expect the mean and standard deviation of the 2000 sample means you obtained in part (c) to be? Explain your answers. e. Determine the mean and standard deviation of the 2000 sample means you obtained in part (c). f. Compare your answers in parts (d) and (e). Why are they different?
3. The distribution of test scores in a class is unimodal and symmetric with a mean of 80 pts and a standard deviation of 7pts. Based on the information, Adam estimated that his score is higher than approximately 97.5% of the students in class. What score did Adam receive? Explain.
According to the Air Transport Association of America, the average operating cost of an MD-80 jet airliner is $2,087 per hour. Suppose the operating costs of an MD-80 jet airliner are normally distributed with a standard deviation of $173 per hour.(Round the value of z to 2 decimal places. Round your answers to 2 decimal places.) (a) At what operating cost would only 23% of the operating costs be less?$enter the dollar amount at which only 23% of the operating costs would be less (b) At what operating cost would 65% of the operating costs be more?$enter the dollar amount at which 65% of the operating costs would be more (c) What operating cost would be more than 85% of operating costs?$enter the dollar amount that would be more than 85% of operating costs
A company was concerned about the length of time a particular vitamin they produce retained its potency. Potency was measured for a random sample of 10 bottles that had just been produced and also for a random sample of 10 bottles after 1 year in storage. The resulting data was used to calculate the summary statistics below. Standard n Mean Deviation Newly produced 10 10.37 0.32 Stored for 1 year 10 9.83 0.24 Difference (New - Stored) 10 0.54 0.43
Suppose that the heights of adult men in the United States are normally distributed with a mean of 70 inches and a standard deviation of 3.5 inches. What proportion of the adult men in the United States are at most 6 feet tall? (Hint: 6 feet 72 inches.) Round your answer to at least four decimal places.
The average starting salary offer for anthropology majors who graduated in 2007 was $39,200. Assume that X, the starting salary offer for anthropology major, is normally distributed with a mean of $39,200 and a standard deviation of $2,550. Find the total area below a starting salary of $45,200. Be sure to express your answer as a percentage rounded to the second decimal place (e.g. xx.xx).
A major ride-sharing company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $28.43 with a standard deviation of $4.52. Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel. (a)According to Chebyshev's theorem, at least 56% of the fares lie between dollars and dollars. (Round your answer to 2 decimal places.) (b)According to Chebyshev's theorem, at least ▼(Choose one) of the fares lie between 19.39 dollars and 37.47 dollars.
The mean cost of renting an apartment in a city is $2000 per month with a standard deviation of $300. Let ?̅ denote the mean cost of rent for a random sample of 60 apartments in this city. 5. The mean ?D̅ and the standard deviation ?D̅ of ?̅ are: (a) ?D̅ = 33.33 ?D̅ = 38.73, (b) ?D̅ = 33.33 ?D̅ = 5, (c) ?D̅ = 2000 ?D̅ = 38.73, (d) ?D̅ = 2000 ?D̅ = 5, (e) ?D̅ = 2000 ?D̅ = 300,
An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 49 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% level? A) Find the test statistic. Round to 3 decimal places. b) Find the p-value. Round to 4 decimal places. c)What is the decision about the null hypothesis? D) state the conclusion

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