The Boston public school district has had difficulty maintainingon-time bus service for its students ("A Year Later, SchoolBuses Still Late," Boston Globe, October 5, 2011). Supposethe district develops a new bus schedule to help combatchronic lateness on a particularly woeful route. Historically, thebus service on the route has been, on average, 12 minuteslate. After the schedule adjustment, the first 36 runs were anaverage of 8 minutes late. As a result, the Boston publicschool district claimed that the schedule adjustment was animprovement-students were not as late. Assume a populationstandard deviation for bus arrival time of 12 minutes.Develop the null and alternative hypotheses to determinewhether the schedule adjustment reduced the averagelateness time of 12 minutes.H, :µ<12 and H:µ212H, :µ=8 and Hu#8AH, :µ212 and H:µ<12H:X 28 and H:X <8

Answered: average of 8 minutes late. As a result,…

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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An avid traveler is investigating whether travel websites differ in their pricing. She chooses a random sample of 32 hotel rooms from across the state and notes the price of each room from site A and site B. The mean difference (site A-site B) in the prices for the rooms is $5.49 with a standard deviation of $18.65. Assuming the conditions for inference have been met, is there evidence that the prices of hotel rooms from site A and site B are different, on average? Use a significance level of a = 0.05. Find the t-table here. Because the P-value is less than a, there is evidence that the prices of hotel rooms from site A and site B are different, on average. Because the P-value is greater than a, there is evidence that the prices of hotel rooms from site A and site B are different, on average. O Because the P-value is less than a, there is not sufficient evidence that the prices of hotel rooms from site A and site B are different, on average. Because the P-value is greater than a, there…
A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is less than the mean of WaxCo. In a random sample of 18 floors of WaxWin and 10 of WaxCo. WaxWin had a mean lifetime of 22.1 with a standard deviation of 5.6 and WaxCo had a mean lifetime of 28.5 with a standard deviation of 7.1. Perform a hypothesis test using a significance level of 0.05 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: O Ho: H1 µ2(claim) O Ho: µ1 2 H2 HA: H1 < µ2(claim) O Ho: µ1 = µ2 HA: H1 7 M2(claim) Since the level of significance is 0.05 the critical value is -1.751 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the mean of WaxWin is less than the mean of WaxCo. O There is not enough evidence to reject the claim that the mean of…
A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in place, an average of 120 infants contracted typhoid each month. After the wells were installed, the philanthropic organization surveyed for nine months and found an average of 90 infants contracted typhoid per month. Assume that the population standard deviation is 40 and the number of infants that contract typhoid is normally distributed.a. Specify the null and alternative hypotheses to determine whether the average number of infants that contract typhoid has decreased since the wells were put in place.b. Calculate the value of the test statistic and the p-value.c. At the 5% significance level, can you conclude that the number of babies falling ill due to typhoid has decreased? Explain.
2. A fast-food franchiser is considering building a restaurant at a certain location. According to a financial analysis, a site is acceptable only if the number of pedestrians passing the location averages more than 100 per hour. A random sample of 50 hours produced a mean of 110 and a standard deviation of 12 pedestrians per hour. Do these data provide sufficient evidence to establish that the site is acceptable? Use a=0.05.
State the null and alternative hypotheses. John, a restaurant owner, suspects that prices of tomatoes in Bury are higher than the rest of Manchester. He finds that the city average price of a certain type of premium tomatoes is £20.9 with standard deviation £0.95. He takes a sample of this type of tomato from 5 local Bury stores and obtains an average price of £22.46.
NebNas manages the credit department for a grocery store chain in the province, and she would like to determine whether the mean monthly balance of credit card holders is equal to $95. A random sample of 100 accounts indicated that the mean owed is $101.5 with a sample standard deviation of $25.6. If she wanted to test whether the mean balance is different from $95 and decided to reject the null hypothesis, what will be the p-value of the test?
An auditor, pressed for time and on a low budget, is concerned with account errors on customer credit. She takes a sample of 25 accounts, and finds the account error, on average, is $-23, with a standard deviation of $16. Is the claim of the manager that errors average only $-10 supported? In this case, the null hypothesis is what?
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Miniature Golf Scores A large group of friends went miniature golfing together at a par 54 course and decided to play on two teams. A random sample of scores from each of the two teams is shown. At a = 0.05, is there a difference in mean scores between the two teams? Use the P-value method and a TI-83 Plus/TI-84 Plus calculator. Assume the variables are normally distributed and the variances are unequal. Team 1 63 54 62 46 50 51 52 48 Team 2 48 49 53 47 51 40 52 Send data to Excel Use u, for the mean score of team 1. ala Part: 0/ 4 Part 1 of 4 State the hypotheses and identify the claim with the correct hypothesis. ローロロォロロ<ロ H : (Choose one) ▼ H : (Choose one) ▼ This hypothesis test is a (Choose one) v test. Save For Later Submit Assignment Skip Part Check O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy I Accessibility
In 2017, the SAT was scored out of 1600. The average SAT scores among the 925 Texas students who stated their intended major was Mathematics was 1148. The average SAT score among the 1026 Texas students who stated their intended major was History was 1031. Assume the true standard deviation for both populations is 193. (a.) Test the hypothesis at the 1% significance level that future Texas math majors had a higher SAT score on average in 2017 than future Texas history majors. (b.) Find a 98% confidence interval for the difference in their SAT scores (Let μ1 be the mean math major score and μ2 be the mean history major score).
A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is not equal to the mean of WaxCo. In a random sample of 12 floors of WaxWin and 20 of WaxCo. WaxWin had a mean lifetime of 27.6 with a standard deviation of 8.8 and WaxCo had a mean lifetime of 20.3 with a standard deviation of 7.6. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: HA: P1 > µ2(claim) Ho: µ1 2 µ2 HA: µ1 < µ2(claim) Ho: µ1 = µ2 HA: H1 + H2(claim) Since the level of significance is 0.01 the critical value is 2.836 and -2.836 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)

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