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.
Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the employees. From past experience, she has found that the reviews take her approximately 4 hours each to do with a population standard deviation of 1.1 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X¯¯¯ be the random variable representing the mean time to complete the 10 reviews. Assume that the 10 reviews represent a random set of reviews. (a) What is the mean, standard deviation, and sample size? Mean = Standard Deviation = Sample Size = (b) Complete the distributions. Round all decimals to four decimal places. X∼ ( Number, Number) X¯¯¯∼ ( Number, Number)
A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 16 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for…
Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.
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.
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
Two stores sell watermelons. At the first store the melons weigh an average of 22 pounds, with a standard deviation of 2.5 pounds. At the second store the melons are smaller. with a mean of 18 pounds and a standard deviation of 2 pounds. You take and SRS of 40 melons from the first store and SRS of 34 from the second store Find the mean of each sampling distribution
The weights of college football players are normally distributed with a mean of 191 pounds and a standard deviation of 49 pounds. If a college football player is randomly selected, find the probability that he weighs between 205 and 224 pounds

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