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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Chapter 14.2, Problem 22E
To determine
Test whether there is a useful relationship between y and at least one of predictors.
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McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine whether exposure to head impacts during one season have an effect on cognitive performance. In the study, tests of new learning performance were significantly poorer for the contact sport athletes compared to the noncontact sport athletes. The following table presents data similar to the results obtained in the study.
Noncontact Athletes:
10, 8, 7, 9, 13, 7, 6, 12
Contact Athletes:
7, 4, 9, 3, 7, 6, 10, 2
a. Are the test scores significantly lower for the contact sport athletes than for the noncontact athletes? Use a one-tailed test with =.05
t-critical=
t=
b. Compute the value of (percentage of variance accounted for) for these data.
r^2= a. 0.123, b. 0.239, c. 0.138, d. 0.264
McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine whether exposure to head impacts during one season have an effect on cognitive performance. In the study, tests of new learning performance were significantly poorer for the contact sport athletes compared to the noncontact sport athletes. The following table presents data similar to the results obtained in the study.
Noncontact Athletes:
10, 8, 7, 9, 13, 7, 6, 12
Contact Athletes:
7, 4, 9, 3, 7, 6, 10, 2
a. Are the test scores significantly lower for the contact sport athletes than for the noncontact athletes? Use a two-tailed test with =.05
b. What sampling technique was most likely employed by the researcher? justify your answer
c. Does exposure to head impacts have an effect on cognitive performance? why or why not
In a study examining the effect of humor on interpersonal attractions, McGee and Shevlin (2009) found that a man’s sense of humor had a significant effect on how he was perceived by women. In the study, female college students were given brief descriptions of a potential romantic partner and then rated the attractiveness of the male on a scale from 1 (low) to 7 (high). The fictitious male was described positively as being single, ambitious, and having good job prospects. In one condition, the description also said that he had a great sense of humor. The results showed that the description was rated significantly higher when “a sense of humor” was included. To examine this effect further, a researcher selected a sample of n = 16 college males and asked them to read a brief description of a female and then rate the attractiveness of the woman in the description. The description had been used in previous research but was modified by adding a statement describing a good sense of humor.…
Chapter 14 Solutions
Introduction to Statistics and Data Analysis
Ch. 14.1 - Prob. 1ECh. 14.1 - The authors of the paper Weight-Bearing Activity...Ch. 14.1 - Prob. 3ECh. 14.1 - Prob. 4ECh. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - The relationship between yield of maize (a type of...
Ch. 14.1 - Prob. 11ECh. 14.1 - A manufacturer of wood stoves collected data on y...Ch. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - State as much information as you can about the...Ch. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - The ability of ecologists to identify regions of...Ch. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - This exercise requires the use of a statistical...Ch. 14.2 - Prob. 28ECh. 14.2 - The article The Undrained Strength of Some Thawed...Ch. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - This exercise requires the use of a statistical...Ch. 14.2 - This exercise requires the use of a statistical...Ch. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Prob. 39ECh. 14.3 - The article first introduced in Exercise 14.28 of...Ch. 14.3 - Data from a random sample of 107 students taking a...Ch. 14.3 - Benevolence payments are monies collected by a...Ch. 14.3 - Prob. 43ECh. 14.3 - Prob. 44ECh. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - Exercise 14.26 gave data on fish weight, length,...Ch. 14.3 - Prob. 48ECh. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Prob. 52ECh. 14.4 - The article The Analysis and Selection of...Ch. 14.4 - Prob. 54ECh. 14.4 - Prob. 55ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14.4 - Prob. 59ECh. 14.4 - Prob. 60ECh. 14.4 - This exercise requires use of a statistical...Ch. 14.4 - Prob. 62ECh. 14 - Prob. 63CRCh. 14 - Prob. 64CRCh. 14 - The accompanying data on y = Glucose concentration...Ch. 14 - Much interest in management circles has focused on...Ch. 14 - Prob. 67CRCh. 14 - Prob. 68CRCh. 14 - Prob. 69CRCh. 14 - A study of pregnant grey seals resulted in n = 25...Ch. 14 - Prob. 71CRCh. 14 - Prob. 72CRCh. 14 - This exercise requires the use of a statistical...
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- McAllister, et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine whether exposure to head impacts during one season have an effect on cognitive performance. In the study, tests of new learning performance were significantly poorer for the contact sport athletes compared to the noncontact sport athletes. The following table presents data similar to the results obtained in the study. Noncontact Athletes Contact Athletes 10 7 8 4 7 9 9 3 13 7 7 6 6 10 12 2 Are the neurological test scores significantly lower for the contact athletes than for the noncontact athletes in the control group? Use a one-tailed test with α = .05. Compute the value of r² (percentage of variance accounted for) for these data.arrow_forwardBehavioural Researchers view the internet and social media addiction as a disorder characterized by the excessive use of Facebook, Instagram, Snap chat, Twitter and other forms of social media such that it affects other aspects of life, including real-life relationships and academic achievement among those still in education. The paper "The Association between Aggressive Behaviors and Internet Addiction and Online Activities in Adolescents" (Journal of Adolescent Health [2009]: 598–605) reported on a study of more than 9400 adolescents. Each participant in the study was assessed using the Chen Internet Addiction Scale to determine if he or she suffered from Internet addiction. The following statements are based on the survey results: a) 51.8% of the study participants were female and 48.2% were male. b) 13.1% of females suffered from Internet addiction. c) 24.8% of the males suffered from Internet addiction Required i) What is the probability that an adolescent is addicted to the…arrow_forwardA group of psychologists recently examined the how odor influences emotion between male and female. Three groups of participants (half male, half female) were first subjected to different types of smell (pleasant, neutral, and unpleasant), and then filled out questionnaire of happiness. The data present the pattern of results obtained in the study, with higher scores indicating a higher level of happiness Odor pleasant neutral unpleasant Male n = 5 n = 5 n = 5 M = 8 M = 7 M = 0 SS = 6 SS = 5 SS = 4 Female n = 5 n = 5 n = 5 M = 7 M =2 M = 0 SS = 6 SS = 4 SS = 6 Note: grand mean =4 A) Conduct a hypotheses testing with α = .05 to evaluate the main effects and interactions (follow the four-step procedure). B) Calculate the effect size (partial η2) for the main effects and the interaction. C) Plot the cell means in a graph, with odor type on the x-axis. D) Based on the pattern of interaction shown in the graph,…arrow_forward
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