Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
9th Edition
ISBN: 9781337098120
Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Chapter 10, Problem 11P
Recent research has demonstrated that music-based physical training for elderly people can improve balance, walking efficiency, and reduce the risk of falls (Trombetti et al,. 2011). As part of the training, participants walked in time to music and responded to changes in the music’s rhythm during a one-hour per week exercise program. After six months, participants m the training group increased their walking speed and their stride length compared to individuals in the control group. The following data are similar to the results obtained in the study.
Do the results indicate a significant difference in the stride length for the two groups? Use a two-tailed test with α =.05
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Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Chapter 10 Solutions
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 10.1 - Which of the following is most likely to be an...Ch. 10.1 - Which of the following is most likely to be a...Ch. 10.1 - An independent-measures study comparing two...Ch. 10.2 - Which of the following is the correct null...Ch. 10.2 - Prob. 2LCCh. 10.2 - Prob. 3LCCh. 10.2 - Prob. 4LCCh. 10.3 - What is the value of the independent-measures t...Ch. 10.3 - Prob. 2LCCh. 10.3 - Prob. 3LC
Ch. 10.4 - Prob. 1LCCh. 10.4 - Which of the following is not an accurate...Ch. 10.4 - Prob. 3LCCh. 10.4 - Prob. 4LCCh. 10.5 - Which of the following accurately describes how...Ch. 10.5 - Which of the following accurately describes how...Ch. 10.5 - Which of the following sets of data would produce...Ch. 10 - Describe the basic characteristics that define an...Ch. 10 - Describe what is measured by the estimated...Ch. 10 - One sample has SS = 36 and a second sample has SS...Ch. 10 - One sample has SS = 60 and a second sample has SS...Ch. 10 - Two separate samples, each with n = 9 individuals,...Ch. 10 - Two separate samples receive different treatments....Ch. 10 - Research results suggest a relationship between...Ch. 10 - Does posting caloric content for menu items affect...Ch. 10 - A long history of psychology research has...Ch. 10 - Recent research has shown that creative people are...Ch. 10 - Recent research has demonstrated that music-based...Ch. 10 - McAllister et al. (2012) compared varsity football...Ch. 10 - Zhou and Vohs (2009) published a study showing...Ch. 10 - In a classic study in the area of problem solving...Ch. 10 - A researcher conducts an independent-measures...Ch. 10 - In a recent study, Piff, Kraus, Ct, Cheng, and...Ch. 10 - Describe the homogeneity of variance assumption...Ch. 10 - If other factors are held constant explain how...Ch. 10 - As noted on page 275, when the two population...Ch. 10 - Two samples are selected from the same population....Ch. 10 - For each of the following, assume that the two...Ch. 10 - For each of the following, calculate the pooled...Ch. 10 - It appears that there is some truth to the old...Ch. 10 - In 1974, Loftus and Palmer conducted a classic...
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- Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include: Mileage (mpg) Number of Cylinders (cyl) Displacement (disp) Horsepower (hp) Research: Google to understand these variables. Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp Mean Median First Quartile (Q1) Second Quartile (Q2) Third Quartile (Q3) Fourth Quartile (Q4) 10th Percentile 70th Percentile Skewness Kurtosis Document Your Results: In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command” In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…arrow_forwardExamine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include: Mileage (mpg) Number of Cylinders (cyl) Displacement (disp) Horsepower (hp) Research: Google to understand these variables. Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp Mean Median First Quartile (Q1) Second Quartile (Q2) Third Quartile (Q3) Fourth Quartile (Q4) 10th Percentile 70th Percentile Skewness Kurtosis Document Your Results: In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command” In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…arrow_forward2 (VaR and ES) Suppose X1 are independent. Prove that ~ Unif[-0.5, 0.5] and X2 VaRa (X1X2) < VaRa(X1) + VaRa (X2). ~ Unif[-0.5, 0.5]arrow_forward
- 8 (Correlation and Diversification) Assume we have two stocks, A and B, show that a particular combination of the two stocks produce a risk-free portfolio when the correlation between the return of A and B is -1.arrow_forward9 (Portfolio allocation) Suppose R₁ and R2 are returns of 2 assets and with expected return and variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find −∞ ≤ w ≤ ∞ such that the portfolio wR₁ + (1 - w) R₂ has the smallest risk.arrow_forward7 (Multivariate random variable) Suppose X, €1, €2, €3 are IID N(0, 1) and Y2 Y₁ = 0.2 0.8X + €1, Y₂ = 0.3 +0.7X+ €2, Y3 = 0.2 + 0.9X + €3. = (In models like this, X is called the common factors of Y₁, Y₂, Y3.) Y = (Y1, Y2, Y3). (a) Find E(Y) and cov(Y). (b) What can you observe from cov(Y). Writearrow_forward
- 1 (VaR and ES) Suppose X ~ f(x) with 1+x, if 0> x > −1 f(x) = 1−x if 1 x > 0 Find VaRo.05 (X) and ES0.05 (X).arrow_forwardJoy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways arrow_forwardSolve for X. Explain each step. 2^2x • 2^-4=8arrow_forward
- One hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table. Female (F) Male (F′) Total College degree (D) 30 20 50 No college degree (D′) 30 20 50 Total 60 40 100 If a person is selected at random from those surveyed, find the probability of each of the following events.1. The person is female or has a college degree. Answer: equation editor Equation Editor 2. The person is male or does not have a college degree. Answer: equation editor Equation Editor 3. The person is female or does not have a college degree.arrow_forwardneed help with part barrow_forwardSuppose you know that Bob's test score is above the mean, but he doesn't remember by how much. At least how many students must score lower than Bob?arrow_forward
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