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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Sub parts 4 and 5 only to be answered
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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
Ma4. As a researcher, you want to see if limiting the amount of time students spend on Facebook each semester raises their GPA. You want to compare students GPA in the fall semester when there we no limitations on Facebook to their GPA in winter semester when each students is limited to no more than 1 hour a week on Facebook. After running the data, you see that student GPA violates the normal distribution. Which type of statistical test should you run to evaluate these data? Select one: a. Two sample t-Test b. Wilcox Signed Rank c. Paired t-Test d. Analysis of Variance
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

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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