An online food delivery service in metro manila claims that the delivery time is not greater than 30 minutes with astandard deviation of 3 minutes. But a certain customer opposed the claim and found that the average time in the past31 delivery services is 40 minutes. Perform a hypothesis testing with a = 0.10 to see if the claim is correct.1.MathematicalSentence Form:Form:НоMathematicalSentence Form:Form:НаGivenTest StatisticType of TestHo =Computationdf (if applicable)P-valueConclusions =n =

From the provided information, Sample size (n) = 31 Sample mean (x̄) = 40 Population standard…

Answered: 1. An online food delivery service in…

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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According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is miles with a standard deviation of miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, , is less than miles. He takes a random sample of cars under the new contracts. The cars in the sample had a mean of annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then answer the questions below.Carry your intermediate computations to three or more decimal places, and round your responses…
What is the value of the test statistic for a test with a null hypothesis that mu = 360, Xbar = 350, the sample standard deviation = 20 and n = 49?
The mean of the commute time to work for a resident of a certain city is 27.3 minutes. Assume that the standard deviation of the commute time is 7.1 minutes. What minimum percentage of commuters in the city has a commute time within 2.5 standard deviations of the mean? What are the commute times within 2.5 standard deviations of the mean?
The mean consumption of water per household in a city was 1239 cubic feet per month Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 92 househoids was found to be 1157 cubic feet per month. The population standard deviation is given to be 251 cubic feet a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaipn by the city council. Would you reject the null hypothesis at a = 0.025? Round your answer to four decimal places. pvalue =i We b. Make the test of part a using the critical-value approach and a = 0.025. Round your answer for z to two decimal places. Zoberved We We conclude that the mean consumption of water per household has due to the campaign by the city council.
American Theaters knows that a certain hit movie ran an average of 84 days in each city, and the corresponding standard deviation was 10 days. The manager of the southeastern district was interested in comparing the movie’s popularity in his region with that in all of American’s other theaters. He randomly chose 75 theaters in his region and found that they ran the movie an average of 81.5 days. State appropriate hypothesis for testing whether there was a significant difference in the length of the picture’s run between theaters in the Southeastern district and all of American’s other theaters. At 1 percent significance level, test these hypotheses.
One way to check on how representative a survey is of the population from which it was drawn is to compare various characteristics of the sample with the population characteristics. A typical variable used for this purpose is age. The GSS 2018 found a mean age of 48.69 and a standard deviation of 17.99 for its sample of 1,495 American adults. Assume that we know from census data that the mean age of all American adults is 37.80. What is the research and the null hypotheses for a two-tailed test of means, calculate the t statistic and test the null hypothesis at the .001 significance level, and what is the decision about the null hypothesis?
The mean waiting time for non-emergency surgeries in your hospital is 87.5 days with astandard deviation of 14 days. Over the last year the hospital’s CEO has beenimplementing various programs to try to reduce the waiting time. You are asked to testwhether the wait times have changed from the previous average. Not knowing if thewait times have increased or decreased, you hypothesize that the wait times are not 87.5days. You randomly select 100 cases and calculate the average wait time, which is 84days. Use ?= 0.05
When interpreting a standard deviation how do I know whether its an empirical rule or Chebychev? The number of standard deviations? and how would I compute that?
A clinical researcher performs a clinical trial on 20 patients to determine whether a drug treatment has an effect on serum glucose. The sample mean glucose of the patients before and after the treatment are summarized in the following table. The sample standard deviation of the differences was 10. Before TreatmentSample mean glucose (mg/dL): 117 After TreatmentSample mean glucose (mg/dL): 111 What type of hypothesis test should be performed?Unpaired t-testTwo-tailed z-testLeft-tailed z-testPaired t-test What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the α = 0.01 significance level?YesNo
What is the value of the test statistic for a test with a null hypothesis that mu = 83, Xbar = 85, the sample standard deviation = 2 and n = 49?
There are two samples. One is a group of 8 athletes who practice and the other is a group of 5 athletes who do not practice. The mean for group 1 is 92.4 and the standard deviation is 5.83. For group 2, the mean is 81.3 and the standard deviation 7.85. the coach thinks the true mean for the athletes who did not practice is more that 8 points smaller than those who did practice. a) make the null and alternative hypotheses. calculate the test statistic and give an explanation as to why you chose this test statistic.
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