A used car dealer says that the mean price of a 2018 Ford Explorer is at most $18,400. You suspectthis claim is incorrect and find that a random sample of 18 similar vehicles has a mean price of$17,500 and a standard deviation of $1,100. Is there enough evidence to reject the dealer's claim ata 5% significance level?a) Identify the null hypothesis and the alternative hypothesis.The null hypothesis is ...O Ho:u=$18,400O Ho: μ-$17,500O Ho: μ<$18,400OHO: $17,500O Ho: uz$18,400O Ho: us$17,500The alternative hypothesis is ...O Hau<$17,500OH:>$18,400OHa: $18,400OH: *$17,500Ο Ha:μ<$18,400Ha:p>$17,500b) Calculate the test statistic, rounded to 3 decimal places.test statistic =

Given information- Hypothesized mean µ = $18,400 Sample size (n) = 18 Sample mean x̅ = $17,500…

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

See similar textbooks

Similar questions

1) a) In a survey, 31 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $44 and standard deviation of $10.Find the margin of error at a 90% confidence level.Give your answer accurate to two decimal places. ______________ b)In a survey, 19 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $33 and standard deviation of $7.Construct a confidence interval in the form estimate ± margin of errorestimate ± margin of error at a 95% confidence level. _____________ ± _____________ Give your answers to one decimal place.
I would like to test the hypothesis that the average round trip airfare between Phoenix and San Diego is higher for a flight originating in Phoenix when compared to a flight originating in San Diego. The following data summarizes the sample statistics for round trip flights originating in both cities. Originating City Phoenix San Diego Sample mean $240 $160 Sample size 18 18 Sample standard deviation $70 $40 If Population 1 is defined as flights originating in Phoenix and Population 2 is defined as flights originating in San Diego, the 90% confidence interval for the difference in population means is O ($50.20, $109.80) O ($42.80, $117.20) ($47.80, $112.20) O ($51.80, $108.20)
A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. You are to conduct a hypothesis test to determine if the means are statistically the same using 5% as alpha What is the computed test statistic?
How much customers buy is a direct result of how much time they spend in the store. A study of average shopping times in a large national houseware store gave the following information (Source: Why We Buy: The Science of Shopping by P. Underhill). Women with female companion: 8.3 min.Women with male companion: 4.5 min. Suppose you want to set up a statistical test to challenge the claim that a woman with a female friend spends an average of 8.3 minutes shopping in such a store. (a) What would you use for the null and alternate hypotheses if you believe the average shopping time is less than 8.3 minutes? Ho: ? = 8.3; H1: ? ≠ 8.3Ho: ? < 8.3; H1: ? = 8.3 Ho: ? = 8.3; H1: ? < 8.3Ho: ? = 8.3; H1: ? > 8.3 Is this a right-tailed, left-tailed, or two-tailed test? right-tailedtwo-tailed left-tailed (b) What would you use for the null and alternate hypotheses if you believe the average shopping time is different from 8.3 minutes? Ho: ? = 8.3; H1: ? > 8.3Ho: ? ≠ 8.3; H1: ? = 8.3…
According to a November 2014 Winthrop poll, of 852 polled SC residents, 222 of them said they plan to spend less on gifts this holiday season. Suppose 30% of all SC residents will spend less this holiday season. Identify the standard deviation of (all possible) sample proportions for SC resident who will spend less.
Insurance Company A claims that its customers pay less for car insurance, on average, than customers of its competitor, Company B. You wonder if this is true, so you decide to compare the average monthly costs of similar insurance policies from the two companies. For a random sample of 13 people who buy insurance from Company A, the mean cost is $150 per month with a standard deviation of $19. For 9 randomly selected customers of Company B, you find that they pay a mean of $157 per month with a standard deviation of $16. Assume that both populations are approximately normal and that the population variances are equal to test Company A's claim at the 0.05 level of significance. Let customers of Company A be Population 1 and let customers of Company B be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho: M₁ = μ₂ Ha:M₁ •H₂
In a random sample of males, it was found that 22 write with their left hands and 218 do not. In a random sample of females, it was found that 64 write with their left hands and 445 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? V the significance level of a = 0.01, so the null hypothesis. There evidence to support the claim that the rate of left-handedness among males is less than that among females. The P-value is b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is< (P1 - P2)
If sample data is such that for a one-tailed test of ? you can reject H0 at the 1% level of significance, can you always reject H0 for a two-tailed test at the same level of significance? Explain your answer? A. Yes. If H0 for a one-tailed test is rejected at the 1% level of significance, it will always be rejected for a two-tailed test at the same level of significance. B. No. If H0 for a one-tailed test is rejected at the 1% level of significance, it will never be rejected for a two-tailed test at the same level of significance. C. Yes. The P-value for the two-tailed test could be greater than 0.01. D. No. The P-value for the two-tailed test could be greater than 0.01.
According to a Boston Globe story, only about 1 in 6 Americans have blue eyes, whereas in 1900 about half had blue eyes. (Source: Data from The Boston Globe on October 17, 2006.) a. For a random sample of 100 living Americans, find the mean and standard deviation of the proportion that have blue eyes. b. In a course you are taking with 100 students, half of the students have blue eyes. Would this have been a surprising result if the sample were a random sample of Americans? Answer by finding how many standard deviations that sample result falls from the mean of the sampling distribution of the proportion of 100 students who have blue eyes. c. In part b, identify the population distribution, the data distribution, and the sampling distribution of the sample proportion.
a. if the null hypothesis is true (avg. anxiety level score of children in the sample is the same as the avg. nationwide score; mu = 100), what can you say about the distribution of x-bar among simple random samples of 46 children? b. calculate the p-value on this distribution. given the p-value, what conclusions can you draw?
2. Ashley wishes to see if her ballroom dance classes, or her swing dance classes are more popular. Sampling 27 ballroom classes gives an average of 34.3 people in attendance with a standard deviation of 4.5 people, while a random sample of 27 swing classes gives an average of 30.7 people with a standard deviation of 2.3 people. Assume the two classes are independent. For each of the questions below, use a significance level of 0.01. a) Determine whether the population variances of the two classes are different. b) Based on your answer to part a), use the appropriate hypothesis test to determine if the mean class attendance differs between the two classes. c) Repeat part b with the other situation (in other words, assume the opposite of your conclusion for part a is true).How does your answer change based on what you know about the variance?
MC Qu. 10-64 Sales at a fast-food restaurant average... Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to Increase daily sales. In order to determine the effectiveness of the advertising campaign, a sample of 49 day's sales were taken. The sample showed average daily sales of $6,300. From past history, the restaurant knew that its population standard deviation is about $1,000. If the level of significance is 0.01, have sales increased as a result of the advertising campaign? Multiple Choice Fail to reject the null hypothesis. Reject the null hypothesis and conclude the mean is higher than $6,000 per day. Reject the null hypothesis and conclude the mean is lower than $6,000 per day. Reject the null hypothesis and conclude that mean equal to $6,000 per day.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS