Long-term exposure to stress can result in a variety of health problems. A study tested the effects of cortisol, the primary hormone released during stress, on memory retention of 12 individuals. Subjects were shown a set of 60 words and 24 hours later were asked to recall as many words as they could remember. One hour before the retention test subjects received a dose of either cortisol or a placebo. Then two weeks later the same procedures were repeated with the same individuals, but with the different set of 60 words and with subjects receiving the opposite treatment than they received the first week. The number of words retained for both treatments are listed in the Table 1 below. Subject 1| 2 | 3 | 4 | 5 | 6 | 7| 8 | 9 | 10 | 11 | 12 Placebo 14 Cortisol 11 12 10 9 13 | 12 14 9 11 | 9 10 | 14 16 11 12 15 15 17 14 15 12 16 13 Table 1: The number of words retained by 12 test subjects. We wish to perform a hypothesis to determine if cortisol decreases long-term memory.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Question

a. The appropriate hypotheses are

b. The value of test statistic and p-value are

c. At the significance level calculated in part (b), we conclude that cortisol

i. Decreases long-term memory

ii. Does not decrease long-term memory

Long-term exposure to stress can result in a variety of health problems. A study tested
the effects of cortisol, the primary hormone released during stress, on memory retention
of 12 individuals. Subjects were shown a set of 60 words and 24 hours later were asked
to recall as many words as they could remember. One hour before the retention test
subjects received a dose of either cortisol or a placebo. Then two weeks later the same
procedures were repeated with the same individuals, but with the different set of 60
words and with subjects receiving the opposite treatment than they received the first
week. The number of words retained for both treatments are listed in the Table 1
below.
Subject 1| 2 | 3 | 4 | 5 | 6 | 7| 8 | 9 | 10 | 11 | 12
Placebo 14
Cortisol 11 12 10 9 13 | 12 14 9 11 | 9 10 | 14
16
11 12 15 15 17 14 15 12 16 13
Table 1: The number of words retained by 12 test subjects.
We wish to perform a hypothesis to determine if cortisol decreases long-term memory.
Transcribed Image Text:Long-term exposure to stress can result in a variety of health problems. A study tested the effects of cortisol, the primary hormone released during stress, on memory retention of 12 individuals. Subjects were shown a set of 60 words and 24 hours later were asked to recall as many words as they could remember. One hour before the retention test subjects received a dose of either cortisol or a placebo. Then two weeks later the same procedures were repeated with the same individuals, but with the different set of 60 words and with subjects receiving the opposite treatment than they received the first week. The number of words retained for both treatments are listed in the Table 1 below. Subject 1| 2 | 3 | 4 | 5 | 6 | 7| 8 | 9 | 10 | 11 | 12 Placebo 14 Cortisol 11 12 10 9 13 | 12 14 9 11 | 9 10 | 14 16 11 12 15 15 17 14 15 12 16 13 Table 1: The number of words retained by 12 test subjects. We wish to perform a hypothesis to determine if cortisol decreases long-term memory.
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