Bundle: Cengage Advantage Books: Essentials of Statistics for the Behavioral Sciences, 8th + LMS Integrated for MindTap Psychology, 1 term (6 months) Printed Access Card
8th Edition
ISBN: 9781305617742
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Chapter 8.3, Problem 3LC
To determine
Whether rejecting the null hypothesis is true or false.
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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 8 Solutions
Bundle: Cengage Advantage Books: Essentials of Statistics for the Behavioral Sciences, 8th + LMS Integrated for MindTap Psychology, 1 term (6 months) Printed Access Card
Ch. 8.1 - The city school district is considering increasing...Ch. 8.1 - Prob. 2LCCh. 8.1 - Prob. 3LCCh. 8.1 - A researcher selects a sample of n = 16...Ch. 8.1 - A small value (near zero) for the z-score...Ch. 8.1 - Prob. 3LCACh. 8.2 - Prob. 1LCCh. 8.2 - Prob. 2LCCh. 8.2 - Prob. 3LCCh. 8.2 - Prob. 4LC
Ch. 8.2 - If a sample mean is in the critical region with =...Ch. 8.3 - Prob. 1LCCh. 8.3 - In a research report, the term significant is used...Ch. 8.3 - Prob. 3LCCh. 8.3 - Prob. 4LCCh. 8.3 - Prob. 5LCCh. 8.4 - A researcher selects a sample from a population...Ch. 8.4 - Prob. 2LCCh. 8.4 - A researcher obtains z = 2.43 for a hypothesis...Ch. 8.5 - Prob. 1LCCh. 8.5 - A researcher selects a sample from a population...Ch. 8.5 - Prob. 3LCCh. 8.6 - Prob. 1LCCh. 8.6 - For a 5-point treatment effect, a researcher...Ch. 8.6 - Prob. 3LCCh. 8.6 - Prob. 4LCCh. 8 - The value of the z-score in a hypothesis test is...Ch. 8 - Define the alpha level and the critical region,...Ch. 8 - Although there is a popular belief that herbal...Ch. 8 - Childhood participation in sports, cultural...Ch. 8 - A local college requires an English composition...Ch. 8 - A random simple is selected from a normal...Ch. 8 - A random sample of n = 25 scores is selected from...Ch. 8 - Brunt, Rhee, and Zhong (2008) surveyed 557...Ch. 8 - A random simple is selected from a normal...Ch. 8 - In a study examining the effect of alcohol on...Ch. 8 - The researchers cited in the previous problem...Ch. 8 - There is some evidence indicating that people with...Ch. 8 - Researchers at a National Weather Center in the...Ch. 8 - Montarello and Martens (2005) found that...Ch. 8 - Researchers hate noted a decline in cognitive...Ch. 8 - A researcher plans to conduct an experiment...Ch. 8 - A sample of n = 40 is selected from a normal...Ch. 8 - Briefly explain how increasing sample size...Ch. 8 - Explain how the power of a hypothesis test is...Ch. 8 - A researcher is investigating the effectiveness of...Ch. 8 - A researcher is evaluating the influence of a...Ch. 8 - Find each of the requested values for a population...Ch. 8 - A survey of high school seniors shows that the...Ch. 8 - Miller (2008) examined the energy drink...
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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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