Essentials of Statistics (6th Edition)
6th Edition
ISBN: 9780134685779
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 11, Problem 2RE
Tooth Fillings The table below shows results from a study in which some patients were treated with fillings that contain mercury and others were treated with fillings that do not contain mercury (based on data from “Neuropsychological and Renal Effects of Dental Amalgam in Children.” By Bellinger et al., Journal of the American Medical Association, Vol. 295, No. 15). Use a 0.05 significance level to test for independence between the type of filling and the presence of any adverse health conditions. Do fillings that contain mercury appear to affect health conditions?
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Morgan City Fire Chief Sidney Pyro is concerned about the low efficiency scores that his firefighters receive at the state testing institute. Chief Pyro believes that these scores result because some firefighters are not in good physical condition. Pyro orders 75 randomly selected firefighters to participate in an hour of exercise per day. Another 200 firefighters have no required exercise. After 60 days, all firefighters are tested again by the state. Chief Pyro collects the data and performs a two-sample independent t-test by using SPSS to examine if there is a statistically significant difference between the treatment and control groups; the SPSS results are shown in the table below.
Group Statistics
Groups
N
Mean
Std. Deviation
Std. Error Mean
Test Scores
Treatment
75
74.5
31.4
3.6
Control
200
70.6
26.3
1.9
a. Formulate a null and research hypothesis:
H0:
H1:
Collect all the necessary data:
Mean score of the treatment group:…
Morgan City Fire Chief Sidney Pyro is concerned about the low efficiency scores that his firefighters receive at the state testing institute. Chief Pyro believes that these scores result because some firefighters are not in good physical condition. Pyro orders 75 randomly selected firefighters to participate in an hour of exercise per day. Another 200 firefighters have no required exercise. After 60 days, all firefighters are tested again by the state. Chief Pyro collects the data and performs a two-sample independent t-test by using SPSS to examine if there is a statistically significant difference between the treatment and control groups; the SPSS results are shown in the table below.
Groups
N
Mean
Std. Deviation
Std. Error Mean
Test Scores
Treatment
75
74.5
31.4
3.6
Control
200
70.6
26.3
1.9
Formulate a null and research hypothesis:
H0:
H1:
Collect all the necessary data:
Mean score of the treatment group:
Mean score of the control group:
Sample size of the…
Independent random samples of 32 people living on the west side of a city and 30 people living on the east side of a city were taken to determine if the income levels of west side residents are significantly different from the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are significantly different from the income levels of east side residents, at the 2% significance level.
H0:μw=μeHa:μw≠μe
t0=2.364
t0.01=±2.099
Select the correct answer below:
No; the test statistic is not between the critical values.
No; the test statistic is between the critical values.
Yes; the test statistic is not between the critical values.
Yes; the test statistic is between the critical values.
Chapter 11 Solutions
Essentials of Statistics (6th Edition)
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