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 $19,857 and a standard deviation of$1930. Is there enough evidence to reject the claim at a=0.05? Complete parts (a) through (e) below. Assume the population is normally distributed.G(a) Write the claim mathematically and identify Ho and HaWhich of the following correctly states Ho and H₂?OA. Ho: p2$19,000H_:μ « $10,000OB. Ho: $19,000H:μ<$19,0006. HoiU19,000H:H=$19,000D. Ho: $19,000OE. Ho: $19,000H:>$19,000H:μ*$19,000OF. Ho:>$19,000H₂:μ≤$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 three decimal places as needed.)

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 $23,000. You suspect this claim is incorrect and find that a random sample of 21 similar vehidles has a mean price of $23,626 and a standard deviation of $1978. 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: u#$23,000 H:= $23,000 O B. Ho: = $23,000 C. Hạ: u= $23,000 Hu $23,000 H us $23,000 OF. Ho: u= $23,000 Hu> $23,000 Hu< $23,000 (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.)
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.
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 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 36 cardholders has a mean credit card balance of $5,491 and a standard deviation of $550. 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 H,? O B. Ho: µs $5,300 O A. Ho: µ> S5,300 H3: us $5,300 O C. H: μ > $5,300 H3: us $5,300 H3: u> $5,300 OF Ho: μ = 55,300 Ha: u# 55,300 Ο D . Ho: μ2 55,300 O E. Ho: µ= $5,300 Ha: µ $5,300 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to =0 (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…
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 30 cardholders has a mean credit card balance of $5,400 and a standard deviation of $625. At a = 0.05, 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 H, and H, ? O A. Ho: H2 $5,300 О В. Н: и> $5,300 О с. Но: и- $5,300 Ha: µ $5,300 O D. Ho: µ> $5,300 ОЕ. Но: и3 $5,300 OF. Ho: Hs $5,300 Ha: us $5,300 Ha: H# $5,300 Ha: u> $5,300 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to =0 (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…
The mean score on a driving exam for a group of driver’s education students is 76 points, with a standard deviation of 6 points. Apply chebychev’s theorem to the data using K=2. Interpret, At least ___% of the exam score falls between ___and ____
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 37 cardholders has a mean credit card balance of $5,509 and a standard deviation of $575. At α=0.01, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed.
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…
A credit card company claims that the mean credit card debt for individuals is greater than $5,200. You want to test this claim. You find that a random sample of 34 cardholders has a mean credit card balance of $5,414 and a standard deviation of $675. At a = 0.10, 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 H,? O A. Ho: u> $5,200 H:us$5,200 O B. Ho: u= $5,200 Hu#$5,200 C. Hạ: us $5,200 Hu> $5,200 O D. Ho: u2 $5,200 Hu $5,200 OF. Ho: > $5,200 Hi uS$5,200 (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.)
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.)
A credit card company claims that the mean credit card debt for individuals is greater than $5,100. You want to test this claim. You find that a random sample of 36 cardholders has a mean credit card balance of $5,271 and a standard deviation of $650. At a = 0.05, can you support the claim? 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 H, and H,? Ho: µs $5,100 Ha: µ> $5,100 B. Ho: µ> $5,100 Ha: us $5,100 C. Ho: µ= $5,100 Ha: u# $5,100 Ho:µ= $5,100 Hai µ > $5,100 O E. Ho: µ2 $5,100 Ha: u $5,100 Hạ: us $5,100 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = = 1.690 (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…
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