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

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3. A small business in Irvine that sells clothing makes roughly $35 per transaction. The CEOsuspects that the business has recently been making less than usual. 40 transactions are randomlysampled from recent transactions and the dollar amount of the transaction recorded. The samplehas a mean of $32.50 and standard deviation of $2.50. a. Set up the null and alternative hypothesis (using mathematical notation/numbers and interpretthem in context of the problem) b. Calculate the test statistic for the test from part a. c. Compute the p-value for the test (use R). Round to the nearest 3rd decimal place, 0.xxx.
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)
Contrary to popular opinion, a psychologist claims that the mean IQ score of math instructors is more than 100. She surveyed 25 of them and found their mean at 120 with a standard deviation of 30. Which significance level will reject the null hypothesis completely? A a> 0.14% B a <0.14% a ≥ 0.14% a ≤ 0.14% D
A magazine article claims that the average cost for a take-out lunch is $9.22. You randomly select a sample of 38 take-out restaurants, and look up the price of their most popular lunch combo. You find an average of $10.08. Assume a population standard deviation of $2.13. a. State the null and alternative hypothesis for the claim that the average cost for a take-out lunch is $9.22. Ho: ? ______9.22 Ha: ? ______ 9.22 b. The _______ hypothesis is the claim. c. The goal of the test is to _______ the claim.
The average starting salary of students who graduated from colleges of Business in 2009 was $48,800. A sample of 100 graduates of 2010 showed an average starting salary of $50,000. Assume the standard deviation of the population is known to be $7000. We want to determine whether or not there has been a significant increase in the starting salaries. a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the 5% level of significance. Determine the critical value for this test. d. What do you conclude from the test? e. What does the test result mean in the context of this problem?
A. The salaries of pharmacy techs are normally distributed with a mean of $33,000 and a standard deviation of $4,000. If a pharmacy tech is selected at random, what is the probability they make more than $38,000? The answer should be typed as a decimal with 4 decimal places. B. The salaries of pharmacy techs are normally distributed with a mean of $33,000 and a standard deviation of $4,000. What is the minimum salary to be considered the top 6%? Round final answer to the nearest whole number. C. The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 250 and 450 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
The mean annual tuition and fees for a sample of 14 private colleges in California was $37,900 witrh a standard deviation of $7,200. A dotplot shows that it is reasonable to assume that the population is approxiamately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000? a. State the null and alternate hypothesis. b. Compute the value of the t statistic. How many degrees of fredom are there?
Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,800 houses. The subdivision was built in 1983. A sample of 110 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $229,000, with a standard deviation of $8,500, what is the probability that the sample average is greater than $231,000? Appendix A Statistical Tables (Round the values of z to 2 decimal places, e.g. 15.25. Round your answer to 4 decimal places, e.g. 0.2513.)enter probability rounded to 4 decimal places
. Buck randomly selects 38 basketball shoes from the Shoe Warehouse and finds the mean prie to be $66.88 with a standard deviation of $5.62. Construct a 99% confidence interval for the population standard deviation o, and find the x2 values used in the calculation. A. ($4.31, $7.93) with xỉ = 18.586 and x = 62.833 B. ($4.27, $7.78) with xỉ = 19.286 and xỉ = 64.181 C. ($1.82, $3.34) with xỉ = 18.586 and x = 62.833 D. ($4.27, $7.78) with xỉ = 19.960 and xi = 59.893 E. ($18.58, $62.88) with xỉ = 18.586 and x = 62.833 %3D %3D reject
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 realtor claims that in a certain neighborhood, the average house is worth $200,000. Having been house shopping in that neighborhood, you do not believe the claim and wish to provide evidence that the claim is not true. You collect a random sample of 200 recent house sales in that neighborhood, finding an average sale price of $203,910 with a standard deviation of $21,597. Correctly using a hypothesis test, which of the following statements is most accurate? You cannot reject the null at the 10% level of significance O You can reject the null at the 10% level of significance, but cannot reject the null at the 5%, 2%, or 1% level of significance You can reject the null at the 10% and 5% level of significance, but cannot reject the null at the 2%, or 1% level of significance You can reject the null at the 10%, 5%, and 2% level of significance, but cannot reject the null at the 1% level of significance You can reject the null at the 10%, 5%, 2%, and 1% level of significance Previous Next…
A P-value is A. the correlation between two variables B. the ratio between the test statistic and the standard error C. the probability of incorrectly rejecting the null hypothesis D. None of the above E. the same as the significance level

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