Assume that X, the starting salary offer for sociology majors, is normally distributed with a mean of $43,256 and a standard deviation of $3,150.Use the following Distributions tool to help you answer the questions. (Note: To begin, click on the button in the lower left hand corner of the tool thatdisplays the distribution and a single orange line.)Standard Normal DistributionMean -0.0Standard Deviation - 1.0^^-3The probability that a randomly selected sociology major received a starting salary offer less than $48,600 is33.39%-2O 66.61%What percentage of sociology majors received a starting offer between $36,000 and $42,000?2.87%0The probability that a randomly selected sociology major received a starting salary offer between $42,000 and $48,600 is97.13%(Hint: The standard normal distribution is perfectly symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5.Therefore, the area under the curve between the mean and a 2-score is computed by subtracting the area to the left (or right) of the z-score from0.5.)2Twenty percent of sociology majors were offered a starting salary less than42

It is given that the mean is 43256 and standard deviation is 3150.

Answered: The probability that a randomly…

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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An employment information service claims the mean annual salary for senior level product engineers is $96,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a = 0.05, test the claim that the mean salary is $96,000. Complete parts (a) through (e) below. Assume the population is normally distributed. Ho Ha (Type integers or decimals. Do not round!) The claim is the O A. hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to = (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region. tto ^ OB. Q tto 100,735 82,529 102,472 91,033 A Annual Salaries 96,372 93,622 112,799 74,257 77,041 81,046 Q 76,250 104,038 103,951 82,104 85,119 110,310 D. -to
Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with s.d.= 2.3% . A random sample of 12 Australian bank stocks has a sample mean of x=6.16% . For the entire Australian stock market, the mean dividend yield is 7.2%. Do these data indicate that the dividend yield of all Australian bank stocks is higher than 7.2%? Find (or estimate) the P-value. Round your answer to three decimal places.
One property of the F-distribution used for the Analysis of Variance is thatA. It is symmetric.B. The exact shape of the F-distribution depends on two different degrees of freedom.C. Values of the F-distribution can be negative.D. The total area under the curve is equal to 2.
Would a z-score of z =-1.19 be located to the left or to the right of the mean on the horizontal scale of the normal distribution curve? a. left b. right
d) For a standard normal distribution, find the probability a score is more than 1.31 standard deviations above the mean. f) If a person's score equals the mean, then the z-score for that person's score will be
The area under a normal curve corresponding to a certain characteristic of the normal random variable may be interpreted in any of the following ways. Select all that apply. A. The area corresponds to the proportion of the population with the characteristic. B. The area corresponds to the probability that a randomly selected individual from the population has the characteristic. C. The area corresponds to the number of individuals in the population with the characteristic.
. Patients at the outpatient surgical center in Braintree, MA have an average recovery time of 14 days with a standard deviation of 3 Assuming these raw scores form a normal distribution What is the probability of getting a raw score between 13 and 15?
Recall that if the sample proportion of defective cartridges is more than 0.02, the entire shipment will be returned to the vendor. We have been asked to determine the probability that a shipment will be returned if the true proportion of defective cartridges in the shipment is 0.06. This means we will find the area in the right tail of the standard normal distribution above the z-score of -2.55. Recall that n = 230, p = 0.02, and p = 0.06. Use the appropriate table in Appendix A or technology to find the probability. (Round your answer to four decimal places.) P(Returned) = P(p > 0.02) = P(z > -2.55) 0.9957 The approximate probability that a shipment will be,returned. if the true proportion of defective cartridges in the shipment is 0.06, rounded to four decimal places, is Enter a number.
Find the z-scores that separates the middle 85 % of the distribution from the area in the tail of the standard normal distribution.First z-score = [ Note: If it did not work, try switching your answer around]Second z-score =

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