average of 8 minutes late. As a result, the Boston public school district claimed that the schedule adjustment was an improvement-students were not as late. Assume a population standard deviation for bus arrival time of 12 minutes. Develop the null and alternative hypotheses to determine whether the schedule adjustment reduced the average lateness time of 12 minutes.
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A: From the above given data the following solution is provided below
Given :
Xbar=8
Mean lateness(mu) =12
Standard deviation =12
n=36
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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?2) A job placement director claims that the average starting salary for nurse is $26000. A sample of 18 nurses has a mean salary of $25620 and a standard deviation of $680. Is there enough evidence to reject the directors claim at a = 5% LOS?The lecturer are concerned that students who enrolled for the course this semester are spending more time playing online games than revising for their upcoming test. In order to pass the test, students need to spend at least 6 hours per week on the course materials. They conducted a survey of 120 students from Section 10G and 15P for which the result shows that the mean time they spent studying for the course in a week is 5.7667 hours with a standard deviation of 1.6487 hours. Using the critical value z0.025 =1.96 , perform hypothesis testing for mean to test whether or not students spent at least 6 hours weekly to study for the course.
- Determine the null and alternative hypotheses.In the past, the mean running time for a certain type of radio battery has been 9.6 hours. The manufacterer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has changed as a result. Choose the best asnwer below A. H0: μ ≥ 9.6 hoursHA: μ = 9.6 hours B. H0: μ > 9.6hoursHA: μ > 9.6 hours C. H0: μ ≠ 9.6 hoursHA: μ = 9.6hours D. H0: μ = 9.6hoursHA: μ > 9.6 hours E. H0: μ = 9.6 hoursHA: μ ≠ 9.6 hoursSuppose that Kira is measuring the amount of sleep that the residents of Decatur County get per night. She does not know the standard deviation, nor does she know the distribution of the amount of sleep all Decatur residents get. Therefore, she prefers to obtain a large sample. Kira thus enlists the help of her friend, Jadzia, who works for OkHarmony. This popular dating service finds matches for its clients by how they respond to numerous survey questions. Jadzia slips Kira's question into the mix, and from the member database of over a thousand male and female singles, she is able to obtain a sample of 101 responses. The sample mean is 6.62 hours a night with a sample standard deviation of 1.19 hours. There are no outliers in the sample. Kira plans to perform a t-test with an alpha level of α = 0.05 on the hypothesis that Decatur residents get an average of less than 8 hours of sleep per night. Evaluate all of the following five statements as true or false. The sample is a simple…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