Bundle: Essentials Of Statistics For The Behavioral Sciences, 9th + Lms Integrated Mindtap Psychology, 1 Term (6 Months) Printed Access Card
9th Edition
ISBN: 9781337582612
Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Chapter 4.3, Problem 3LC
To determine
To find: The sum of square deviations for this population.
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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 4 Solutions
Bundle: Essentials Of Statistics For The Behavioral Sciences, 9th + Lms Integrated Mindtap Psychology, 1 Term (6 Months) Printed Access Card
Ch. 4.1 - Which of the following is a consequence of...Ch. 4.1 - What is the range for the following set of scores?...Ch. 4.1 - For the following scores, which of the following...Ch. 4.2 - Which of the following sets of scores has the...Ch. 4.2 - What is the variance for the following set of...Ch. 4.2 - A set of scores ranges from a high of X = 24 to a...Ch. 4.3 - What is SS, the sum of the squared deviations, for...Ch. 4.3 - What is the standard deviation for the following...Ch. 4.3 - Prob. 3LCCh. 4.4 - Which of the following explains why it is...
Ch. 4.4 - Under what circumstances is the computational...Ch. 4.4 - Prob. 3LCCh. 4.5 - A researcher takes a sample from a population and...Ch. 4.5 - A researcher takes all of the possible samples of...Ch. 4.5 - All the possible samples of n = 3 scores are...Ch. 4.6 - If a normal-shaped population with y. 40 and o 5...Ch. 4.6 - If 5 points are added to every score in a...Ch. 4.6 - A research study obtains a mean of 12.7 and a...Ch. 4.6 - For which of the following distributions would X =...Ch. 4 - Briefly explain the goal for defining and...Ch. 4 - What is the range for the following set of scores?...Ch. 4 - In words, explain what is measured by variance and...Ch. 4 - Is it possible to obtain a negative value for...Ch. 4 - Describe the scores in a sample that has a...Ch. 4 - There are two different formulas or methods that...Ch. 4 - Calculate the mean and SS (sum of squared...Ch. 4 - For the following population of N = 9 scores: 4,...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - Calculate SS. variance, and standard deviation for...Ch. 4 - Calculate SS. variance, and standard deviation for...Ch. 4 - For the following set of scores; 6, 2, 3, 0, 4 a....Ch. 4 - Explain why the formula for sample variance is...Ch. 4 - For the following sample or n = 6 scores: 0, 11,...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - A population has a mean of = 50 and a standard...Ch. 4 - Solve the following problems. a. After 6 points...Ch. 4 - Compute the mean and standard deviation for the...Ch. 4 - For the following sample of n = 8 scores: 0, 1,12,...Ch. 4 - For the following population of N = 6 scores: 2,...Ch. 4 - The range is completely determined by the two...Ch. 4 - For the data in the following sample: 1, 1, 9, 1...Ch. 4 - Arden and Plomin (2006) published a study...Ch. 4 - A population has a mean of = 50 and a standard...Ch. 4 - On an exam with a mean of M = 39, you obtain a...
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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
- 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_forwardA 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_forward2. The SMSA data consisting of 141 observations on 10 variables is fitted by the model below: 1 y = Bo+B1x4 + ẞ2x6 + ẞ3x8 + √1X4X8 + V2X6X8 + €. See Question 2, Tutorial 3 for the meaning of the variables in the above model. The following results are obtained: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.302e+03 4.320e+02 3.015 0.00307 x4 x6 x8 x4:x8 x6:x8 -1.442e+02 2.056e+01 -7.013 1.02e-10 6.340e-01 6.099e+00 0.104 0.91737 -9.455e-02 5.802e-02 -1.630 0.10550 2.882e-02 2.589e-03 11.132 1.673e-03 7.215e-04 2.319 F) x4 1 3486722 3486722 17.9286 4.214e-05 x6 1 14595537 x8 x4:x8 x6:x8 1 132.4836 < 2.2e-16 1045693 194478 5.3769 0.02191 1 1198603043 1198603043 6163.1900 < 2.2e-16 1 25765100 25765100 1045693 Residuals 135 26254490 Estimated variance matrix (Intercept) x4 x6 x8 x4:x8 x6:x8 (Intercept) x4 x6 x8 x4:x8 x6:x8 0.18875694 1.866030e+05 -5.931735e+03 -2.322825e+03 -16.25142055 0.57188953 -5.931735e+03 4.228816e+02 3.160915e+01 0.61621781 -0.03608028 -0.00445013 -2.322825e+03…arrow_forward
- 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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