**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)?

(a) Obtain the 90% confidence interval for the population mean sentence length of all federally…

Answered: 21. Prison Sentences. Researchers M.…

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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In order to plan properly for production, a firm must have adequate inventory. One factor influencing the inventory policy of a firm is the standard deviation of lead time, which is the time between when goods are ordered and when they actually arrive. A computer manufacturing firm is investigating the possibility of having parts shipped using ShipCo lines. The computer firm has obtained shipping information for a sample of 36 orders made to ShipCo by comparable computer firms. The lead times are summarized in the histogram below. Based on this histogram, estimate the standard deviation of the sample of 36 lead times. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.
6. Help please
10. In a study conducted to determine the role that sleep disorders play in academic performance, researcher Jane Gaultney conducted a survey of 503 randomly selected students with a known sleep disorder (such as narcolepsy, insomnia, or restless leg syndrome) and found their mean GPA was 2.65 with a standard deviation of 0.87. Similarly, she randomly selected 1342 students with no known sleep disorders, and found their mean GPA to be 2.82 with a standard deviation of 0.83. You may assume that both population GPA's are normally distributed. Use a significance level of 0.05 to test whether the two groups have different mean GPA's. As a follow-up, construct and interpret a 95% confidence interval for the true difference in the mean GPA's of the two groups. What would be the type I and type II errors for this problem?
Fuel efficiency of Prius: Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is: (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…
3. An article by S. M. Berry titled “Drive for Show and Putt for Dough (Chance, Vol 12(4), pg 50-54)” discussed driving distances of PGA players. The mean distance for tee shots on the 1999 men’s PGA tour is 272.2 yards with a standard deviation of 8.12 yards. Assuming that the 1999 tee-shot distances are normally distributed, find the percentage of such tee shots that went a. between 260 and 280 yards. b. more than 300 yards. 4. Do Exercise 6.103 on page 288 in the textbook. Show work. (image attached) 5. Refer to question 3 in this homework. The article “Drive for Show and Putt for Dough (Chance, Vol 12(4), pg 50-54)” discussed driving distances of PGA players. The mean distance for tee shots on the 1999 men’s PGA tour is 272.2 yards with a standard deviation of 8.12 yards. Assuming that the 1999 tee-shot distances are normally distributed answer the following questions: a. Determine the quartiles of the driving distances b. Find the 95th percentile. c. Obtain the third decile (i.e.…
(Tied to Hypothesis Testing Discussion Forum) When 40 people use the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds. Historically the standard deviation is σ = 4.9 pounds (based on data from “Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction,” by Dansinger, et al., Journal of the American Medical Association, Vol. 293, No. 1). Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0. a. State the null and alternate hypotheses. (This part was used for the Hypothesis Testing Forum) b. Explain whether your test will be left, right or two-tailed. c. State the test statistic and p-value of your test. Round your answers to four-decimal places. d. Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α. e. Interpret your conclusion in the context of this problem.
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?
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 55 months and a standard deviation of 8 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 31 and 47 months?
9. You are an agricultural consultant researching the effect of different ground surfaces for dairy cattle. On a particular farm, the cow stalls are covered with straw, and the farm produces an average of 750 gallons of milk per day. The farmer is interested in knowing whether he can increase his milk yield by swapping out the straw for cow waterbeds. After making the switch, the farmer measures his yield on 18 days, finding a sample mean of 810 gallons and a sample standard deviation of 80 gallons. a) Carry out a hypothesis test to ask whether the mean yield from cows on waterbeds is greater than the mean yield for cows on straw, using a = 0.01. Be sure to carry out all of the steps of a hypothesis test, and phrase your conclusion in a way that will be useful to the farmer.

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