Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take herapproximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete onereview. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews representarandom set of reviews.Find the probability that the mean of a month's reviews will take Yoonie from 3.5 to 4.25 hrs.(a) Sketch the graph, labeling and scaling the horizontal axis. Shade the region corresponding to the probability.↑2.8 4 3.2 6.4O0.4 1.62.8 4 5.2 6.4 7.60.4 1.6 2.8 4 5.2 6.4 7.6XO0.4 1.60.4 1.6WebAsign Plot7.66.4 7.6X(b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probabilityto four decimal places.))-

The question is about sampling distribution.Given :Population mean time to complete a review ( ) =…

Answered: Yoonie is a personnel manager in a…

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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Benjamin owns a small Internet business. Besides himself, he employs nine other people. The salaries earned by the employees are given next in thousands of dollars (Benjamin’s salary is the largest, of course): 30, 30, 45, 50, 50, 50, 55, 55, 60, 75 Determine the range, population variance, and population standard deviation for the data.
Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that he must score better than at least 80% of the students who took the test. Tom takes the test and scores 595. Will he be admitted to this university?
The local police force gives all applicants an entrance exam and accepts only those applicants who score on the top 15% on this test. If the mean score this year is 87 and the standard deviation is 8, would an individual with a score of 110 be accepted?
Yoonie is a personnel manager in a large corporation. Each month she must review the employees in her department. From past experience, she has found that the reviews take her approximately four hours each to do with a standard deviation of 1.2 hours. How long in average it takes to complete two reviews?
Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 32 shifts that she had a mean of 4.8 calls per shift. She knows that the population standard deviation for her shift is 1.4 calls. Jodi calculates from a random sample of 40 shifts that her mean was 4.2 calls per shift. She knows that the population standard deviation for her shift is 1.1 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.01 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births. Click the icon to view the data table. The mean is u = girl(s). (Round to one decimal place as needed.) The standard deviation is o = girl(s). (Round to one decimal place as needed.)
A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.
The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 30. Suppose 36 golfers played the course today. Find the probability that the average score of the 36 golfers exceeded 71
The entire student body of 225 students took a test. These test scores have a mean of 75, a standard deviation of 10, and are slightly positively skewed. If you randomly chose 25 of these test scores and calculated the mean over and over again, what could be the mean, standard deviation, and skew of this distribution? Mean = 75, SD = 10, Skew = 1.2 Mean = 75, SD = 0.67, Skew = 0.8 Mean = 80, SD = 2, Skew = -1.2 Mean = 75, SD = 2, Skew = about 0 Mean = 75, SD = 0.67, Skew = about 0
The students at a college all take a standardized test scored on a scale from 0 to 100 points. The mean and standard deviation are 53 and 16, respectively. Hugh’s test result has a z-score of 1.19, and Neal’s has a z-score of 2.06. Neal’s test score is how many points higher than Hugh’s?

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