Bundle: Essentials of Statistics for The Behavioral Sciences, Loose-Leaf Version, 9th + LMS Integrated Aplia, 1 term Printed Access Card
9th Edition
ISBN: 9781337593885
Author: GRAVETTER
Publisher: CENGAGE L
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Chapter 10, Problem 14P
In a classic study in the area of problem solving Katona (1940) compared the effectiveness of two methods of instruction. One group of participants was shown the exact, step-by-step procedure for solving a problem and was required to memorize the solution. Participants in a second group were encouraged to study the problem and find the solution on their own. They were given helpful hints and clues, but the exact solution was never explained. The study included the problem in the following figure showing a pattern of five squares made of match sticks. The problem is to change the pattern into exactly four squares by moving only three matches. (All matches must be used, none can be removed, and all the squares must be the same size.) After three weeks, both groups returned to be tested again. The two groups did equally well on the matchstick problem they had learned curlier. But when they were given new problems (similar to the matchstick problem), the memorization group had much lower scores than the group who explored and found the solution on their own. The following data demonstrate this result.
- a. Is there a significant difference in performance on new problems for these two groups? Use a two-tailed test with α = .05.
- b. Construct a 90% confidence
interval to estimate the size of the mean difference.
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Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of
each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means
is on the left below, and that of the 50 confidence intervals is on the right.
1. What does each dot on the left hand dotplot represent?
StatKey Sampling Distribution for a Mean
Percent with Internet Access (Countries) ▾
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20
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Sampling Dotplot of Mean
Left Tail Two-Tail Right Tail
60
50
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10
samples = 50
mean = 41.626
std. error = 5.089
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.:
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::
0
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41.626
Data Plots
Confidence Intervals
95%->
Confidence Intervals
Coverage
48/50 = 96%
20
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60
80
2. Circle the confidence intervals that failed to capture the true mean.
3. Circle the sample means that produced those…
Example 4 (Part 1) One of the datasets in the Lock book
contains information about 215 countries of the world. One
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who have access to the internet. We have data for 203 of
those countries. The plot on the right shows a dotplot of
the data.
1. What are the cases?
Population
n = 203, mean = 43.024
median = 43.5, stdev = 29.259
20
2. What does each dot on the dotplot represent?
15
10
5
20
40
43.024
60
80
3. What type of data is do we collect from the cases, quantitative or categorical?
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n =6 professional basketball players gave the following information.
x
63
79
70
80
84
87
y
46
49
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55
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Chapter 10 Solutions
Bundle: Essentials of Statistics for The Behavioral Sciences, Loose-Leaf Version, 9th + LMS Integrated Aplia, 1 term Printed Access Card
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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