A used car dealer says that the mean price of a three-year-old sports utility vehicle is $22,000. You suspect this claim is incorrect and find that a random sample of 22 similar vehicles has a mean price of $22,741 and a standarddeviation of $1927. 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 H, and Ha-Which of the following correctly states Ho and H, ?O A. Ho H= $22,000H p<$22,000O B. Ho H=$22,000H p>$22,000O C. Ho p>$22,000H ps$22,000O D. Ho u2 S22,000H p<$22,000O E. H, p#22.000OF Ho p=$22,000H µ#$22,000H µ= $22,000Question Viewer(b) Find the critical value(s) and identify the rejection region(s).What is(are) the critical value(s). to?to =be noodod Daund to thr n darimal plaroa an nondad )

Solution: a. The claim is that the mean price of three-year-old sports utility vehicle is $22,000.…

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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The mean value of land and buildings per acre from a sample of farms is $1400, with a standard deviation of $300. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1169 $2285 $1490 $466 $1948 $926 ... Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. O A. $1169 B. $1490 O C. $466 D. $1948 E. $2285 F. $926
Answer the three following questions a, b, and c. Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4700. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law.
The mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $100. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1321 $1587 $1109 $959 $1492 $1458 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $1587 B. $959 C. $1321 D. $1458 E. $1492 F. $1109
A random sample of 100,000 credit sales in a department store showed an average sale of $81.25. From past data, it is known that the standard deviation of the population is $10.00. Determine the standard error of the mean. O 0.0001 O 0.0100 O 0.0316 O 10.00
Answer these question
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.
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $178,000. Assume the standard deviation is $39,000. Suppose you take a simple random sample of 36 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( b. What is the distribution of I? I - N( c. For a single randomly selected graduate, find the probability that her salary is between $173,350 and $181,100. d. For a simple random sample of 36 graduates, find the probability that the average salary is between $173,350 and $181,100. e. For part d), is the assumption of normal necessary? O NoO Yes o
The mean value of land and buildings per acre from a sample of farms is $1400, with a standard deviation of $300. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1550 $2291 $1995 $378 $1580 $1747 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $1747 B. $378 C. $1580 D. $1550 E. $2291 F. $1995 Which of the farms are very unusual (more than three standard deviations from the mean)? Select all that apply. A. $1580 B. $1747 C. $2291 D. $378 E. $1550 F. $1995 G. None of the data values are very unusual.
The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of 12 hours. Suppose we select a random sample of 100 current students. What is the standard error of the mean? 1.20 12 .95 2.70
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 23 similar vehicles has a mean price of $19,586 and a standard deviation of $1910. Is there enough evidence to reject the claim at a= 001? Complete p through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify H, and Ha- Which of the following correctly states Ho and H,? O A. Hg: =$19,000 Hg: H$19,000 O C. H: u= $19,000 Ha: ps$19,000 O E. H, µ#$19,000 Ha: µ> $19,000 (b) Find the critical value(s) and identify the rejection region(s). Ha u= $19,000 O F. Ho: H2 $19,000 What is(are) the critical value(s), to? Ha: H (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 not in the rejection…
The mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $300. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1752 $2163 $787 $353 $1330 $1664 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $353 B. $1664 C. $1752 D. $1330 E. $787 F. $2163 Which of the farms are very unusual (more than three standard deviations from the mean)? Select all that apply. A. $2163 B. $1330 C. $1752 D. $1664 E. $353 F. $787 G. None of the data values are very unusual.
About 6.9% of Americans suffer from diabetes. This exercise examines the percentage of people in samples of 2000 who have diabetes. a. The Central Limit Theorem tells us that these percentages are approximately normally distributed. Find the mean and standard deviation. Round the standard deviation to two decimal places. b. How unusual would it be for such a sample to show at least 7.6% suffering from diabetes?

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