EBK BUSINESS STATISTICS
7th Edition
ISBN: 9780134462783
Author: STEPHAN
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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1) A researcher is interested in the effects of room color (yellow, blue) and room temperature (20, 24, 28 degrees Celsius) on happiness. A total of 120 university students participated in this study, with 20 students randomly assigned to each condition. After sitting for 30 mins. in a room that was painted either yellow or blue, and that was either 20, 24, or 28 degrees, students were asked to rate how happy they felt on a scale of 1 to 15, where 15 represented the most happiness. The mean happiness scores are as follows: temperature room color happiness 20 yellow 12 24 yellow 10 28 yellow 6 20 blue 4 24 blue 4 28 blue 4
1A) Place the data into the cells of the matrix and determine the row and column means (a handdrawn matrix is fine).
1B) Draw a fully labeled line graph of the results (a hand-drawn graph is fine).
1C) List each significant effect and after each one, describe what the effect is telling us about how temperature and color affected happiness. (For the purpose of this…
1. On the basis of her experience with clients, a clinical psychologist thinks that
depression may affect sleep. She decides to test this idea. The sleep of nine
depressed patients and eight normal controls is monitored for three consecutive
nights. The average number of hours slept by each subject during the last two
nights is shown in the following table: (Pagano, 2010). If proved significant,
compute of the effect size.
Hours of Sleep
Depressed patients
7.1
Normal controls
8.2
6.8
7.5
6.7
7.3
7.7
7.8
7.5
8.0
6.2
7.4
6.9
7.3
6.5
6.5
7.2
This problem is based on a study conducted by Stephens, Atkins & Kingston (2009). You wish to determine if the pain threshold is different when swearing compared to saying neutral nonsense words. For the study reported below, you asked each participant to plunge a hand into the icy water and keep it there as long as the pain would allow. In one condition, the participants repeated their favorite curse words while their hands were in the water. In the other condition, the participants repeated a neutral word (e.g., cantaloupe or platypus). You obtain the data shown below:
Amount of Time (in seconds)
Swear Words
Neutral Words
49
37
67
61
59
47
59
45
28
32
87
80
89
68
77
66
55
50
87
72
47
46
58
64
64
56
64
63
65
58
55
56
41
49
50
52
Calculate the confidence interval and conduct the following 2-tailed hypothesis test with α=0.05.• Give the average for the swear word condition (in seconds): Mswear=• Give the average for the…
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- In a survey of working parents (both parents working), one of the questions asked was "Have you refused a job, promotion, or transfer because it would mean less time with your family?" Two hundred men and 200 women were asked this question. Twenty-nine percent of the men and 24% of the women responded "yes." a. Based on this survey, can we conclude that there is a difference in the proportion of man and women responding “yes" at the 0.05 level of significance? (i) State the null and alternative hypotheses (ii) What test statistics would you use and why? (iii) Compute the value of the test-statistic. (iv) What rejection region would you use? (v) State your conclusion in the context of the problem. b. What P-value is associated with this test? Based on this P-value, could H. be rejected at significance level 0.08? c. Find a 95% confidence interval for the difference between the proportion of men and women responding "yes." Based on this confidence interval, would your conclusion be the…arrow_forwardSophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question - agree with the increase, do not agree with the increase, or no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have?arrow_forwardA random sample of 1000 households was surveyed to find out if they plan on having a smaller Thanksgiving gathering than they have participated in past years. What is the wording in the context of this problem for the parameter p?arrow_forward
- Using the same question as in question 1 (restated below), answer the following question: A consumer psychologist asked to test a claim by a swimming school that its instructors could teach the average seven-year-old to swim across an Olympic-sized pool in less than 2 minutes. The psychologist arranged for eight randomly selected seven-year-old children to take lessons at the school and recorded how long it took each child to swim across a pool at the end of the lessons. The times (in seconds) were 60, 65 100, 80, 70, 90, 100, and 100, which averages to 83.125 . The known population's mean was 120 seconds. If you ran a statistical test on this data and came up with the following results, would you say that the lessons resulted in a significant change in time taken to swim across the pool? Cutoff t score needed = +/-1.895 t = 2.88 Is the t score given more extreme than the cutoff score in the desired direction? Select one: a. No, it is not significant. b. Yes, it is…arrow_forwardNonearrow_forwardParts c and darrow_forward
- I need help with #1 parts A through Darrow_forwardbe filled in. Problem: To study the effectiveness of possible treatments for insomnia, a sleep researcher conducted a study in which four participants were instructed to count sheep (the Sheep Condition), four were told to concentrate on their breathing (the Breathing Condition), and four were not given any special instructions. The average number of minutes taken for each participant to fall asleep over the next seven days were 14, 28, 27, and 31 minutes for the Sheep condition; 25, 22, 17, and 14 minutes for those in the Breathing condition; and 45, 33, 30, and 41 for the Control condition. Using the .05 significance level, did the different techniques have different effects? Step 1: Restate the question as a research hypothesis and a null hypothesis about the populations. Pop 1: ??? Pop 2: ??? Pop 3: ??? Null hypothesis: ??? Research hypothesis: ??? Step 2: Determine the characteristics of the comparison distribution. What type of…arrow_forwardQuestion 31: give the conclusionarrow_forward
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