A leading magazine (like Barron's) reported at one time that the average number of weeks an individual isunemployed is 30 weeks. Assume that the length of unemployment is normally distributed with populationmean of 30 weeks and the population standard deviation of 4 weeks.Suppose you would like to select a random sample of 40 unemployed individuals for a follow-up study.Round the answers of following questions to 4 decimal places.Note: When writing the distributions, they should be of the form (mean, variance).a. What is the distribution of X?~ NOb. What is the distributionx ~ N(c. What is the probability that one randomly selected individual found a job less than 29 weeks?d. For 40 unemployed individuals, find the probability that the average time that they found the nextjob is less than 29 weeks.e. For part d), is the assumption of normal necessary? O No0 Yes

NOTE: As per the guidelines, we are supposed to solve first three sub parts only. Hence, I am…

Answered: weeks and the population standard…

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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You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 28 night students and 29 day students and their GPA's are recorded below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that GPAS are normally distributed. Give answers to 4 decimal places. GPA-Night GPA-Day 3.46 3.18 2.77 2.84 3.44 3.22 3.16 3.22 3.37 3.46 2.94 3.33 2.74 2.98 3.1 3.03 2.8 3.1 3.2 3.23 3.43 3.22 3.03 3.1 3.42 3.23 2.88 3.27 2.65 2.93 3.53 3.16 3.32 3.24 2.94 3.25 2.21 3.17 2.81 2,83 2.89 3.35 2.32 3.28 2.25 3.07 3.4 3.24 2.84 3.43 3.13 3.05 2.25 2.73 2.62 2.83 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: Select an answer Select an answer H: Select an answer Select an answer Based on the hypotheses, find the following: Test Statistic- p-value- The correct decision is to Select an answer e that…
6
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Suppose you calculate a z-score of -2.2 and the distribution is normal. Then which of the following is a correct interpretation? Group of answer choices None of the above are justified interpretations The observation is about 2.2 standard deviations less than the mean. This means it is less than all but roughly 2.5% of the observations. The observation is about 2.2 times the variance less than the mean. This means it is less than all but roughly 5% of the observations The observation is about 2.2 times the variance less than the mean. This means it is less than all but roughly 2.5% of the observations. The observation is about 2.2 standard deviations less than the mean. This means it is less than all but roughly 5% of the observations.
One of the z-score formulas will help on this question. Scores on the SAT test are normally distributed with a mean of 500 and standard deviation of 100 points. Pretend someone scored 400 on the math portion of the SAT test. What would be the z-score cut off for this score? A. 1.0 B. -1.0 C. 0 D. 2.0
The avg. … (please complete only part c and d the rest is completed)
° Following are the temperatures (in F) observed during eight wintry days in a midwestern city (sample): Find the range, variance, and standard deviation. Range = i 23 Variance = Standard deviation = i 16 Round your answers to two decimal places, where appropriate. F 6 -7 F -2 11 16 22
Part d, e and f please
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 18.5 foot tall?
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 19 1 b. What is the median giraffe height? 19 ✔ft. c. What is the Z-score for a giraffe that is 21.5 foot tall? 2.5 d. What is the probability that a randomly selected giraffe will be shorter than 18.4 feet tall? e. What is the probability that a randomly selected giraffe will be between 19.9 and 20.5 feet tall? f. The 75th percentile for the height of giraffes is ft.
Listed below are time intervals (min) between eruptions of a geyser. The "recent" times are within the past few years, and the "past" times are from 1995. Does it appear that the variation of the times between eruptions has changed? Use a 0.05 significance level. Assume that the two populations are normally distributed. E Click the icon to view the sample data. - X Sample data Identify the test statistic. The test statistic is (Round to two decimal places as needed.) Identify the P-value Recent 79 95 89 75 55 97 66 90 66 86 81 87 Past 92 85 94 99 68 82 89 98 84 98 92 91 The P-value is (Round to three decimal places as needed.) Print Done What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to support the claim that the variation of the times between eruptions has changed. O B. Reject Ho. There is insufficient evidence to support the claim that the variation of the times between eruptions has changed. OC. Fail to reject Hg. There is sufficient…

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weeks and the population standard deviation of 4 weeks. would like to select a random sample of 40 unemployed individuals for a fol answers of following questions to 4 decimal places. writing the distributions, they should be of the form (mean, variance). is the distribution of X? N