Difference of means = 0 Null hypothesis: Alternative hypothesis: Difference of means Sample Mean Std Dev 3.444 2.506 HSAM 18 3 2.301 CON 14.92 df: 0.4444 Difference of means: 0.4463

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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18.10 Reducing snoring. Snoring is an extremely common and burdensome con-
4.
dition that occurs when vibrating soft tissue obstructs the upper airway during
sleep. Researchers investigated the effectiveness of throat exercises designed to
STEP
strengthen that soft tissue. They recruited otherwise healthy adult patients who
had recently sought medical care for a primary complaint of snoring. At random,
the subjects were divided into two treatment groups, with the treatments lasting
for three months. The control group was asked to perform deep breathing exer-
cises daily and to sleep with a nasal dilator strip. The therapy group was instructed
to perform a series of throat exercises three times a day. After these three months,
subjects were recorded during sleep to assess their snoring frequency (in number
of snores per hour). Here are the findings:12
Hn Control
6 18 23 46 55 75
2
6 6
139 174 198 218 223 294 420 527 540 637
69 87 101
Ud Treatment
7 10 18 27 51 52 53
104 141 155 182 222 256 389 416 626
Does the study provide significant evidence that throat exercises are better than
nasal strips and breathing exercises in addressing snoring in this population?
Follow the four-step process, making sure to check the conditions for inference.
Transcribed Image Text:18.10 Reducing snoring. Snoring is an extremely common and burdensome con- 4. dition that occurs when vibrating soft tissue obstructs the upper airway during sleep. Researchers investigated the effectiveness of throat exercises designed to STEP strengthen that soft tissue. They recruited otherwise healthy adult patients who had recently sought medical care for a primary complaint of snoring. At random, the subjects were divided into two treatment groups, with the treatments lasting for three months. The control group was asked to perform deep breathing exer- cises daily and to sleep with a nasal dilator strip. The therapy group was instructed to perform a series of throat exercises three times a day. After these three months, subjects were recorded during sleep to assess their snoring frequency (in number of snores per hour). Here are the findings:12 Hn Control 6 18 23 46 55 75 2 6 6 139 174 198 218 223 294 420 527 540 637 69 87 101 Ud Treatment 7 10 18 27 51 52 53 104 141 155 182 222 256 389 416 626 Does the study provide significant evidence that throat exercises are better than nasal strips and breathing exercises in addressing snoring in this population? Follow the four-step process, making sure to check the conditions for inference.
Alternative hypothesis: Difference of means >
Difference of means = 0
Null hypothesis:
Alternative hypothesis: Difference of meane
Sample Mean
Std Dev
HSAM
3.444
2.506
CON
18
3
2.301
df:
14.92
Difference of means :
0.4444
t statistic:
0.4463
P-value:
0.3309
18.13 What is the value of the test statistic for this
two-sample t test?
(a) 0
(b) 0.4463
(c) 12.92
Transcribed Image Text:Alternative hypothesis: Difference of means > Difference of means = 0 Null hypothesis: Alternative hypothesis: Difference of meane Sample Mean Std Dev HSAM 3.444 2.506 CON 18 3 2.301 df: 14.92 Difference of means : 0.4444 t statistic: 0.4463 P-value: 0.3309 18.13 What is the value of the test statistic for this two-sample t test? (a) 0 (b) 0.4463 (c) 12.92
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