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 vehícles has a mean price of $23,626 and a standard deviation of$1978. Is there enough evidence to reject the claim at a = 0.012 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#$23,000H:p= $23,000O B. Ho: u= $23,000c. Hạ: u= $23,000Hu<$23,000Hp$23,000O D. Ho: u2 $23,000H:u< $23,000OE Ho: p> $23,000H us $23,000OF Ha: u $23,000Hu> $23,000(b) Find the critical value(s) and identify the rejection region(s).What is(are) the critical value(s), to?to = -2.845,2.845(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.)OB. 1>O A. t<and t>OD.

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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 national online business magazine reports that the average cost of a speeding ticket in Miami, including court fees, is $220. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 16 drivers who have been fined for speeding in the last year. Assuming that the distribution of speeding ticket costs is normally distributed and the population standard deviation is $15, is there sufficient evidence to support the police department's claim at the 0.02 level of significance? Speeding Ticket Costs in Miami $234 $209 $223 $248 $237 $223 $232 $209 $229 $212 $244 $213 $209 $240 $233 $225 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
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 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? C. Ho: µ> $20,000 Hai µs $20,000 Ο Α. Η0: μ# $20,000 B. Ho: µ = $20,000 Ha: µ $20,000 %3D Ha: µ В. t (c) Find the standardized test statistic t. t= (Round to two decimal places as needed.)
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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
Moviegoers The average "moviegoer" sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. A random sample of 42 moviegoers from a large university revealed that the average number of movies seen per person was 10.2. The population standard deviation is 3.2 movies. At the 0.01 level of significance, can it be concluded that this represents a difference from the national average? Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Hotu = 85 Part: 1/5 not claim H₁ 8.5 claim This hypothesis test is a two-tailed ▼test. Part 2 of 5 ▼ ▼ Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): X 0.0.... + 8分民图〗b. E
A producer of televisions claims that his product will last at least 10 years on average. A sample of 40 is taken and the mean and standard deviation are found. The test statistic is calculated to be 1.756. Using a 5% level, the conclusion would be a. there is insufficient evidence for the producer’s claim to be considered correct b. there is sufficient evidence for the producer’s claim to be considered incorrect c. None of the above d. there is sufficient evidence for the producer’s claim to be considered correct
A national online business magazine reports that the average cost of a speeding ticket in Miami, including court fees, is $220. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 16 drivers who have been fined for speeding in the last year. Assuming that the distribution of speeding ticket costs is normally distributed and the population standard deviation is $14, is there sufficient evidence to support the police department's claim at the 0.02 level of significance? Speeding Ticket Costs in Miami $226 $215 $200 $248 $233 $242 $213 $247 $217 $221 $237 $217 $241 $212 $232 $211 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
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 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…
For a sample, a score that is 12 points above the mean has a z-score of z = 1.20. What is the sample standard deviation?
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?
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players’ salaries and 35 football players’ salaries is selected. The mean salary is determined for both samples. Let represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30

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