Siven are five observations for two variábles, a and y. 3 5 13 16 18 Yi 57 60 50 14 13 Use the estimated regression equation: ŷ = 73.0978 – 3.1180r. . Compute the mean square error using equation. SSE 2 = MSE = n - 2 (to 4 decimals) . Compute the standard error of the estimate using equation. SSE == VMSE = n - 2
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Kindly compute the t-test statistics
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- Suppose that Dietitians recently recommended a 400 cal per meal and take her children of the age of the data set. To see if both groups adhere to the guideline follow the steps to develop and test a statistical hypothesis. Test to see if us groups means are different from 400 calories. You have two data sets so you'll be completing the process twice. Use 0.05 as a level of significance and make sure to report any important statistic with your results (e.g., mean of each group, standard deviation of each group, test stastistic (are you using t or z?), rejection region and p value). Data: Children Participated Children Did Not Participate 435.16 414.61 338.99 503.46 488.73 425.22 590.28 288.77 582.59 184 635.21 299.73 249.86 350.65 441.66 394.94 572.43 261.55 357.78 295.28 396.79 139.69 298.38 462.78 282.99 179.59 368.51 301.75 388.59 436.58 256.32 371.39 408.82 469.02 424.94 378.09 477.96 287.31 428.74 448.55 432.52 332.64 428.27…A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.0 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, u, is greater than 7.0 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 7.4 ounces and that the standard deviation is 0.3 ounces. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: u is ? Η: μs7 In the context of this test, what is a Type I error? v the hypothesis that u is ? ? v. A Type I error is ? v|? when, in fact, u is ? Suppose that BIG decides to reject the null hypothesis. What sort of error might it be making? ?The Human Resources Director of a central hospital wishes to estimate the mean number of children admitted to the pediatric clinic during a day. The director randomly selects 64 different days and determines the number of admissions for each. Based on this sample, she computes the sample's arithmetic mean X-bar = 19.8 and the sample's variance S2 = 36. You are requested to calculate the sample size that the director should choose if she wishes to estimate the mean number of admissions per day to within ±1 admission with a 95% level of confidence? Note: You can use the sample standard deviation as an estimate for the population standard deviation. A. 97 B. 68 C. 98 D. 139 E. 239
- Assume a standardized IQ test exists that possesses a normal distribution and has a mean score of 100 with a standard deviation of 10 What is the probability of selecting someone from the general population at random who wouldDuring the 2003 season, Major League Baseball took steps to speed up the play of baseball games in order to maintain fan interest (CNN Headline News, September 30, 2003). The following results come from a sample of 60 games played during the summer of 2002 and a sample of 50 games played during the summer of 2003. The sample mean shows the mean duration of the games included in each sample. 2002 Season 2003 Season n1 = 60 n2 = 50 x1 = 2 hours, 52 minutes x2 = 2 hours, 46 minutes Provide a 95% confidence interval estimate of the reduction in the mean duration of games during the 2003 season.A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.3 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, u, is greater than 7.3 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 7.5 ounces and that the standard deviation is 0.6 ounces. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? v the hypothesis that u is ? v? v. when, in Suppose that BIG decides not to reject the null hypothesis. What sort of error might it be making? ?
- To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and find the mean of the sample is 6.0 with standard deviation of the sample 2.0. This sample will be used to calculate a 95% confidence interval for the mean score for actuarial students in the special study program. A 95% confidence interval for the mean score of actuarial students in the special program is from ________ to ________. Question 17 options: 1) 3.52 to 8.47 2) 4.69 to 7.31 3) 4.66 to 7.34 4) 4.33 to 7.67Gary has discovered a new painting tool to help him in his work. If he can prove to himself that the painting tool reduces the amount of time it takes to paint a room, he has decided to invest in a tool for each of his helpers as well. From records of recent painting jobs that he completed before he got the new tool, Gary collected data for a random sample of 7 medium-sized rooms. He determined that the mean amount of time that it took him to paint each room was 3.6 hours with a standard deviation of 0.2 hours. For a random sample of 6 medium-sized rooms that he painted using the new tool, he found that it took him a mean of 3.2 hours to paint each room with a standard deviation of 0.3 hours. At the 0.05 level, can Gary conclude that his meantime for painting a medium-sized room without using the tool was greater than his meantime when using the tool? Assume that both populations are approximately normal and that the population variances are equal. Let painting times without using the…Every year, all incoming high school freshmen in a large school district take a math placement test. For this year’s test, the district has prepared two possible versions: Version 1 that covers more material than last year’s test and Version 2 test that is similar to last year’s test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 90 incoming freshmen to come to its offices to take Version 1, and it randomly selects 75 incoming freshmen to come take Version 2. The 90 incoming freshmen taking Version 1 score a mean of 113.0 points with a standard deviation of 16.8 . The 75 incoming freshmen taking Version 2 score a mean of 117.0 points with a standard deviation of 18.5 . Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are…
- Assume a standardized IQ test exists that possesses a normal distribution and has a mean score of 100 with a standard deviation of 10. What is the probability of selecting someone from the general population at random who wouldThis research was conducted with Korean adolescents in the Los Angeles area. Would you be willing to generalize the results of this study to Korean adolescents who live in other regions of the country? Why or why not.The Management Department recently purchased a smallcopier for faculty use. Although the workload of the office staff has improved somewhat, the secretaries are still mak-ing too many trips to the Dean’s office when the depart-mental copier is out of service. Sylvia, the departmental secretary, has been keeping track of failure rates and ser-vice times. With a mean time between failures of 100 hours and a mean time to repair of 24 hours, how much of thetime is the new copier available for faculty use?