9.An article in the Philippine Daily Inquirer discusses the dangers of obesity. The article claims that in themiddle managerial positions, obese people get (on average) smaller paychecks than non-obese people.Suppose that you want to test this claim, and you have obtained the following two random samples ofemployees (data are in thousands of pesos per month):Obese:45 54 39 67 33 62 39 50 48 51 37 61 70 35 42 40Non-obese:54 69 36 77 56 30 72 80 44 73 55 60 49Test the hypothesis using the 0.05 level of significance.

Given : For obese given data : 45,54,39,67,33,62,39,50,48,51,37,61,70,35,42,40

Answered: Suppose that you want to test this…

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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Suppose we want to test whether or not the average SAT score at the University of Seychelles is significantly larger than the average SAT score at Vermont. Taking a random sample, we manage to get the following seven scores from Vermont students: Vermont: 1340 1500 1430 1440 1380 1470 1290 and the following nine scores from Seychelles students: Seychelles: 1540 1480 1390 1450 1440 1350 1520 1400 1600 Assuming that the standard deviation in SAT scores for students at Seychelles and Vermont is the same and equal to 77 points, test at the α=:05 significance level whether or not the average SAT score atthe University of Seychelles is larger than the average SAT score at Vermont.
A researcher wants to investigate whether self-reported empathy is related to charitable donations. He recruits a sample of ten participants and asks them to report their empathy on a scale of 1 to 10, as well as how much money they have donated to charity in the past year. The raw scores are presented below: Participant Empathy Donations 1 6 30 2 7 40 3 10 10 4 3 30 5 5 30 6 4 50 7 8 0 8 2 80 9 6 20 10 9 10 What is the sum of products?A) -430B) 60C) 4800D) 55300 What is the covariance between empathy and charitable donations?A) -47.778B) -0.801C) 6.667D) 6144.444 What is the obtained t-value for the correlation between empathy and charitable donations?A) -0.801B) -1.258C) -3.788D) -10.716 What is the critical t-value?A) 2.306B) 2.262C) 2.101D) 2.093 What is your conclusion?A) There is no significant correlation between empathy and charitable donations.B) There is a significant positive correlation between empathy and charitable donations.C) There is a…
A random sample of 12 students showed the following time (in hours) of sleep 4.5 5 5.5 6 6 7 7.5 7.5 8 9 5 7 What is the best point estimate of the population mean?
An investigation is carried out to determine whether face to face or virtual learning is more effective. If 12 students took an IT course virtual and 14 took it face to face: The data of the scores made for both types of learning are shown in the table. Virtual 66 75 85 64 88 77 74 91 72 69 77 83 Face to Face 80 83 64 81 75 80 86 81 51 64 59 85 74 77 determine whether you can conclude that the mean score differs between the two types of course. You need to first set up an alternate and null hypothesis
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
Here is sample data on screen time (in minutes/hr) for 3 different populations. Children 19 19 17 18 21 23 15 13 13 17 18 21 25 24 17 Teens 21 17 26 34 43 39 32 27 21 10 45 Adults 33 34 33 23 56 21 34 21 17 40 Test the claim mean screen time is the same for all populations. Use α = 0.10. Does one population appear to have more screen time than other populations? Explain in 1 - m2 complete sentences.
A group is interested in seeing if the mean gas mileages from two different brands of gasoline are the same. To test this, they sampled 23 cars that used Type A gas and 17 cars that used Type B gas. From these samples, they calculated the following descriptive statistics (in terms of miles per gallon): Type A Gas Type B Gas ?n 23 17 ?⎯⎯⎯x¯ 29 29 ?s 4 5 (Assume the samples are independent and that the populations are normally distributed with unknown mean and standard deviation) (a) Is there significant evidence to suggest that there is a difference in gas milage? Test this at the ?=0.05α=0.05 significance level. State your conclusions regarding H0 (b) Calculate a 95% confidence interval for the true difference of the means. State your conclusions after calculating the interval.
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Consider the sample of 65 customer satisfaction ratings given in the table (below). 39 46 42 40 45 44 44 44 45 45 44 46 46 46 41 46 46 38 40 40 41 43 38 48 39 42 39 47 43 47 43 44 41 42 40 44 39 43 36 41 44 41 42 43 43 41 44 45 42 38 45 45 46 40 44 44 47 42 44 45 45 43 45 44 43 Click here for the Excel Data File Carry out a chi-square goodness-of-fit test of normality for the population of all customer satisfaction ratings using α = .05. Recall that we previously calculated x⎯⎯x¯ = 42.95 and s = 2.6424 for the 65 ratings. Use the Empirical Rule to create the intervals. (Round your expected frequencies to 2 decimal places. Round your answer to 3 decimal places.)
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