A used car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 21 similar vehícles has a mean price of $19,566 and a standard deviation of$1909. Is there enough evidence to reject the claim at a=0.01? Complete parts (a) through (e) below. Assume the population is normally distributed.(a) Write the claim mathematically and identify Ho and H..Which of the following correctly states Ho and H,?O A. Ho: H>$19,000H: us$19,000O B. Ho: H=$19,000Hp<$19,000OC. Ho: =$19,000Hp>$19,000O D. Ho: µ2$19,000Hu<$19,000O E. Ha: u= $19,000Hu#$19,000OF. Ho: u$19,000Hu= $19,000(b) Find the critical value(s) and identify the rejection region(s)What is(are) the critical value(s), to?(Use a comma to separate answers as needed. Round to three decimal places as needed.)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.)O A. t<OB. t<and t>O D. 1>Oc. A used car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 21 similar vehicles has a mean price of $19,566 and a standard deviation of$1909. Is there enough evidence to reject the claim at a = 0.01? Complete parts (a) through (e) below. Assume the population is normally distributed.(Rouna to uree oecTIai piaces as neeuea.)O A. t<O Bt< and t>Oc. (c) Find the standardized test statistic t.t= (Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.O A. Reject Ho because the test statistic is not in the rejection region(s).O B. Fail to reject Ho because the test statistic is in the rejection region(s).O 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 in the rejection region(s).(e) Interpret the decision in the context of the original claim.O A. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is $19,000.O B. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $19,000.O C. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is not $19,000.O D. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is $19,000.

Hypothesized Population Mean (µ) = $ 19000 The provided sample mean is = $ 19566 Sample standard…

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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After numerous studies, it is estimated that the age of college students follows a normal distribution with a mean of 20.7 years and a standard deviation of 1.8 years. A random sample of 16 college students is taken and the sample mean and sample standard deviation are found to be 21.5 years and 2.3 years, respectively. a.Is the sample average of 21.5 considered an outlier (in other words, what is the chance of getting a sample mean at least as large as 21.5 assuming μ and σ are correct)? b. The calculated value of the sample standard deviation is larger than σ, is 2.3 years enough larger than 1.8 that the estimate of σ does not seem reasonable? Use probability to support your conclusion c.No matter what you got for an answer in part b, assume we no longer trust σ = 1.8 to be valid. Calculate the same probability as you did in part a, but this time, assume that σ is unknown.
Suppose you buy a new car whose advertised mileage is 20 miles per gallon (mpg). After driving your car for several months, you find that its mileage is 16.5 mpg. You telephone the manufacturer and learn that the standard deviation of gas mileages for all cars of the model you bought is 1.02 mpg. a. Find the z-score for the gas mileage of your car, assuming the advertised claim is correct. b. Does it appear that your car is getting unusually low gas mileage? Question content area bottom Part 1 a. z=enter your response here (Round to two decimal places as needed.)
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 24 similar vehicles has a mean price of $21,719 and a standard deviation of $1996. Is there enough evidence to reject the claim at a = 0.01? Complete parts (a) through (e) below. Assume the population is normally distributed. e (a) Write the claim mathematically and identify Ho and Ha. E1 Which of the following correctly states Ho and H,? O A. Ho: u> $21,000 H3: us$21,000 O B. Ho: H= $21,000 OC. Ho: u#$21,000 Ha:u $21,000 O E. Ho:H= $21,000 Ha: u#$21,000 OF. Ho: u2$21,000 H:u O B. t O D.
A large corporation employs 19185 individuals. The average income of all employees is $70616, with a standard deviation of $19414 and is skewed to the right. Consider this to be the population distribution. You are given a data set consisting of the incomes of 120 randomly selected employees.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N( b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
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 similar vehicles has a mean price of $21,848 and a standarc deviation of $1985. Is there enough evidence to reject the claim at a = 0.05? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H2? O A. Ho: =$21,000 B. Ho: H= $21,000 Ha: H#$21,000 OC. Ho: H > $21,000 Hgius $21,000 HaiH>$21,000 OD. Ho: H#$21,000 HaiH=$21,000 E. Ho:H= $21,000 Ha: H O C. t D. t< (c) Find the standardized test statistic t. t= (Round to two decimal places as needed.)
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?
I'm having difficulty labeling for the 3 boxes above the graph
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?
A credit card company claims that the mean credit card debt for individuals is greater than $5,300. You want to test this claim. You find that a random sample of 33 cardholders has a mean credit card balance of $5,566 and a standard deviation of $575. At a= 0.01, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and Ha ' Which of the following correctly states Ho and Ha? OA. H: H> $5,300 O B. Ho: H= $5,300 O C. Ho: H= $5,300 Ha:H $5,300 Hus $5,300 Hai H> $5,300 OD. Ho H2 $5,300 O E. Ho H> $5,300 Haius $5,300 OF. Ho:Hs $5,300 HaiH $5,300 Click to select your answer and then click Check Answer.
Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . What is the standard deviation using the conceptual definition? That is, what is the average distance from the data points to the mean? A. 5.34 B. 4.09 C. 2.58 D. 7.29

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