Mindtap Psychology, 1 Term (6 Months) Printed Access Card, Enhanced For Gravetter/wallnau/forzano's Essentials Of Statistics For The Behavioral Sciences
9th Edition
ISBN: 9780357035092
Author: GRAVETTER, Frederick J; Forzano, Lori-ann B.; Wallnau, Larry B.
Publisher: Cengage Learning
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Chapter 15, Problem 20P
Research has demonstrated strong gender differences in teenagers’ approaches to dealing with mental health issues (Chandra & Minkovitz. 2006). In a typical study, eighth-grade students are asked to report their willingness to use mental health services in the
- a. Do the data show a significant relationship between gender and willingness to seek mental health assistance? Test with α = .05.
- b. Compute Cramér’s V to measure the size of the treatment effect.
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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 15 Solutions
Mindtap Psychology, 1 Term (6 Months) Printed Access Card, Enhanced For Gravetter/wallnau/forzano's Essentials Of Statistics For The Behavioral Sciences
Ch. 15.1 - Which of the following is a characteristic of...Ch. 15.1 - Which of the following accurately describes the...Ch. 15.1 - A researcher uses a sample of n = 60 participants...Ch. 15.2 - Prob. 1LCCh. 15.2 - Prob. 2LCCh. 15.2 - A researcher uses a sample of 20 college...Ch. 15.3 - If a chi-square test for independence has df 3,...Ch. 15.3 - Prob. 2LCCh. 15.3 - Prob. 3LCCh. 15.4 - Prob. 1LC
Ch. 15.4 - A researcher obtains X2 = 4.0 for a test for...Ch. 15.4 - Under what circumstances should the chi-square...Ch. 15.5 - Prob. 1LCCh. 15.5 - Prob. 2LCCh. 15 - Prob. 1PCh. 15 - The student population at the state college...Ch. 15 - A developmental psychologist would like to deter...Ch. 15 - Data from the Department of Motor Vehicles...Ch. 15 - A psychologist examining art appreciation selected...Ch. 15 - A professor in the psychology department would...Ch. 15 - Automobile insurance is much more expensive for...Ch. 15 - A communications company has developed three new...Ch. 15 - Prob. 9PCh. 15 - Earlier in the chapter, we introduced the...Ch. 15 - Liu el al. (2015) recently reported the results of...Ch. 15 - Many businesses use some type of customer loyalty...Ch. 15 - In a classic study, Loftus and Palmer (1974)...Ch. 15 - In a study investigating freshman weight pain, the...Ch. 15 - Research results suggest that IQ scores for boys...Ch. 15 - Gender differences in dream content are well...Ch. 15 - Many parents allow their underage children to...Ch. 15 - A recent study indicates that people tend to...Ch. 15 - Research indicates that people who volunteer to...Ch. 15 - Research has demonstrated strong gender...
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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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