Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Textbook Question
Chapter 1.3, Problem 4E
Based on a study of 2 121 children between the ages of 1 and 4, researchers at the Medical College of Wisconsin concluded that there was an association between iron deficiency and the length of time that a child is bottle-fed (Milwaukee Journal Sentinel, November 26, 2005). Describe the sample and the population of interest for this study.
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Question 3
The following stem-and-leaf displays the weekly salary of employees at this firm.
Stem-and-Leaf Display
Leaf Unit = 10.0
N=x
5
3 00123
12 4 0125888
(y)
5 11234456777
z
6 13568
5
7 154
2
8 46
i.
Determine the value of x, y and z.
[3]
ii. What is the value of the median?
[2]
iii.
Find the mode of this data set.
iv.
Calculate the range
[1]
[2]
Let Y be a continuous RV with PDF
otherwise
Find the CDF, Fry), of Y .
Find an expression for pth, p € (0, 1), quantile of the distribution.
Find E(Y) and V(Y).
Find E(-2Y + 1) and V(-3Y - 2).
Find E(Y3).
Let X be a continuous RV with CDF
Find P(X < 0), P(-1 < X < 1) and P(0.5 < X).
Based on your answers to the above questions, what is the median of the distribu-tion? Why
Find the PDF, fx (x), of X.
Chapter 1 Solutions
Introduction to Statistics and Data Analysis
Ch. 1.3 - Give brief definitions of the terms descriptive...Ch. 1.3 - Give brief definitions of the terms population and...Ch. 1.3 - The following conclusion from a study appeared in...Ch. 1.3 - Based on a study of 2 121 children between the...Ch. 1.3 - The student senate at a university with 15,000...Ch. 1.3 - Prob. 6ECh. 1.3 - The supervisors of a rural county are interested...Ch. 1.3 - A consumer group conducts crash tests of new model...Ch. 1.3 - A building contractor has a chance to buy an odd...Ch. 1.3 - The article Brain Shunt Tested to Treat Alzheimers...
Ch. 1.3 - In a study of whether taking a garlic supplement...Ch. 1.4 - Classify each of the following variables as either...Ch. 1.4 - Classify each of the following variables as either...Ch. 1.4 - Prob. 14ECh. 1.4 - For the following numerical variables, state...Ch. 1.4 - For each of the following situations, give a set...Ch. 1.4 - In a survey of 100 people who had recently...Ch. 1.4 - Prob. 18ECh. 1.4 - The article Feasting on Protein (AARP Bulletin,...Ch. 1.4 - ● Box Office Mojo (www.boxofficcmojo.com) tracks...Ch. 1.4 - Prob. 21ECh. 1.4 - The following display is a graph similar to one...Ch. 1.4 - Prob. 23ECh. 1.4 - Prob. 24ECh. 1.4 - Prob. 25ECh. 1.4 - Prob. 26ECh. 1.4 - The article Fliers Trapped on Tarmac Push for...Ch. 1.4 - Prob. 28ECh. 1.4 - The article Where College Students Buy Textbooks...Ch. 1.4 - Prob. 30ECh. 1.4 - Prob. 31ECh. 1 - The report Testing the Waters 2009 (nrdc.org)...Ch. 1 - The U.S. Department of Education reported that 14%...Ch. 1 - The Computer Assisted Assessment Center at the...Ch. 1 - The article Just How Safe Is That Jet? (USA TODAY,...Ch. 1 - Each year, U.S. News and World Report publishes a...Ch. 1 - Many adolescent boys aspire to be professional...
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- A survey of 581 citizens found that 313 of them favor a new bill introduced by the city. We want to find a 95% confidence interval for the true proportion of the population who favor the bill. What is the lower limit of the interval? Enter the result as a decimal rounded to 3 decimal digits. Your Answer:arrow_forwardLet X be a continuous RV with PDF where a > 0 and 0 > 0 are parameters. verify that f-∞ /x (x)dx = 1. Find the CDF, Fx (7), of X.arrow_forward6. [20] Let X be a continuous RV with PDF 2(1), 1≤x≤2 fx(x) = 0, otherwisearrow_forward
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- In some applications the distribution of a discrete RV, X resembles the Poisson distribution except that 0 is not a possible value of X. Consider such a RV with PMF where 1 > 0 is a parameter, and c is a constant. (a) Find the expression of c in terms of 1. (b) Find E(X). (Hint: You can use the fact that, if Y ~ Poisson(1), the E(Y) = 1.)arrow_forwardSuppose that X ~Bin(n,p). Show that E[(1 - p)] = (1-p²)".arrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forward
- I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forwardThis exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.) Creatine(grams) L-Glutamine(grams) BCAAs(grams) Cost($) Xtend(SciVation) 0 2.5 7 1.00 Gainz(MP Hardcore) 2 3 6 1.10 Strongevity(Bill Phillips) 2.5 1 0 1.20 Muscle Physique(EAS) 2 2 0 1.00 Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.) servings of xtend servings of gainzarrow_forwardI need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)arrow_forward
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