21. Prison Sentences. Researcher Sudhinta Sinha discussed howpeople adjust to prison life in the article “Adjustment and mentalhealth problem in prisoners" (Industrial Psychiatry Journal, Vol. 19,No. 2, pp. 101–104). A sample of 37 sentenced adult male prisonershad an average age of 36.7 years. Assume that, for the sentenced adultmale prisoners, the population standard deviation of age is 8.0 years.a. Find and interpret a 90% confidence interval for the mean age, µ,of all sentenced adult male prisoners.b. Under what conditions can you freely apply the procedure thatyou used in part (a)?

Answered: Image /qna-images/answer/27fb976a-b33f-4ef8-84b9-4870d961f73d.jpg

Answered: 21. Prison Sentences. Researcher…

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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11. The finishing times of a 5K race run by competitive male runners age 15-18 are approximately normal distribution with a mean time of 18 minutes and a standard deviation of 2 minutes. A particularly tough 5K race tends to take these same runners 4.5 additional minutes. To earn a completion medal in this particular 5K race, the runner must complete the race within 25 minutes. Approximately, what percent of competitive male runners in the 15-18 age bracket typically do not earn a completion medal at this race? (A) Approximately 0% (B) 10.56% (C) 14.08% (D) 28.93% (E) 35.03%
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 60 months and a standard deviation of 11 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 27 and 38 months?ans = ____ %
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9) Steel rods are manufactured with a mean length of 25 centimeters (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed, with a standard deviation of 0.07 cm. What proportion of rods has a length less than 24.9 cm? b. C. d. 25 Any rods that are shorter than 24.85 cm or longer than 25.15 cm are discarded. What proportion of rods will be discarded? Using the results of part (b), if 5,000 rods are manufactured in a day, how many should the plant manager expect to discard? If an order comes in for 10,000 steel rods, how many rods should the plant manager manufacture if the order states that all rods must be between 24.9 cm and 25.1 cm?
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Prison Sentences. Researchers M. Dhami et al. discussed how people adjust to prison life in the article “Adaption to Imprisonment” (Criminal Justice and Behavior, Vol. 34, No. 8, pp. 1085–1100). A sample of 712 federally sentenced adult male prisoners had an average sentence of 9.15 years. Assume that, for federally sentenced adult male prisoners, the population standard deviation of sentence length is 17.2 years. a. Find and interpret a 90% confidence interval for the mean sentence length, μ, of all federally sentenced adult male prisoners. b. Under what conditions can you freely apply the procedure that you used in part (a)?
In a test of the effectiveness of garlic for lowering cholesterol, 50 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol (in mg/dL) have a mean of 3.2 and a standard deviation of 18.5. Complete parts (a) and (b) below. a) What is the best point estimate of the population mean net change in LDL cholesterol after the garlic treatment? b) Construct a 90% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? What is the confidence interval estimate of the population mean μ?
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 39 months and a standard deviation of 5 months. Using the empirical rule, what is the approximate percentage of cars that remain in service between 24 and 34 months?
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 57 months and a standard deviation of 4 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 61 and 65 months?Do not enter the percent symbol.ans = %
5.46 Student performance across discussion sections: A professor who teaches a large introductory statistics class (197 students) with eight discussion sections would like to test if student performance differs by discussion section, where each discussion section has a different teaching assistant. The summary table below shows the average final exam score for each discussion section as well as the standard deviation of scores and the number of students in each section. Sec 1 Sec 2 Sec 3 Sec 4 Sec 5 Sec 6 Sec 7 Sec 8 ni 33 19 10 29 33 10 32 31 x̄i 92.94 91.11 91.8 92.45 89.3 88.3 90.12 93.45 si 4.21 5.58 3.43 5.92 9.32 7.27 6.93 4.57 The ANOVA output below can be used to test for differences between the average scores from the different discussion sections. Df Sum Sq Mean Sq F value Pr(>F) section 7 525.01 75 1.87 0.0767 residuals 189 7584.11 40.13 Conduct a hypothesis test to determine if these data provide convincing evidence that the average…

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