The accompanying table lists body temperatures (in degreesF) obtained from randomly selected subjects. Using a 0.05 significance level, test for an interaction between gender and smoking, test for an effect from gender, and test for an effect from smoking. What do you conclude?
LOADING... Click the icon to view the body temperature data Row Factor Column Factor Value
Female Smokes 98.8
Female Smokes 97.6
Female Smokes 97.9
Female Smokes 98.5
Male Smokes 98.1
Male Smokes 98.4
Male Smokes 98.3
Male Smokes 98.8
Female Does not smoke 98.4
Female Does not smoke 97.9
Female Does not smoke 98.1
Female Does not smoke 97.1
Male Does not smoke 97.8
Male Does not smoke 97.9
Male Does not smoke 98.3
Male Does not smoke 99.2 First test for an interaction between the two factors. Determine the null and alternative hypotheses. Choose the correct answer below.
A.
Upper H 0: Body temperatures are not affected by smoking.
Upper H 1: Body temperatures are affected by smoking.
B.
Upper H 0: Body temperatures are affected by an interaction between gender and smoking.
Upper H 1: Body temperatures are not affected by an interaction between gender and smoking.
C.
Upper H 0: Body temperatures are not affected by gender.
Upper H 1: Body temperatures are affected by gender.
D.
Upper H 0: Body temperatures are not affected by an interaction between gender and smoking.
Upper H 1: Body temperatures are affected by an interaction between gender and smoking.
Part 2
Determine the test statistic.
The test statistic is
negative 1.41.
(Round to two decimal places as needed.)
Part 3
Determine the P-value.
The P-value is
0.197.
(Round to three decimal places as needed.)
Part 4
Determine the proper conclusion at the 0.05 significance level. Choose the correct answer below.
A.
Reject Upper H 0. There is sufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and smoking.
B.
Fail to reject Upper H 0. There is insufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and smoking.
C.
Fail to reject Upper H 0. There is insufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and smoking.
D.
Reject Upper H 0. There is sufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and smoking.
Part 5
If appropriate, test for an effect from gender. Choose the correct answer below.
A.
Upper H 0: Smokers and non-smokers have the same population mean body temperature.
Upper H 1: Smokers and non-smokers people have different population mean body temperatures.
B.
Upper H 0: Smokers and non-smokers people have different population mean body temperatures.
Upper H 1: Smokers and non-smokers people have the same population mean body temperature.
C.
Upper H 0: Men and women have different population mean body temperatures.
Upper H 1: Men and women have the same population mean body temperature.
D.
Upper H 0: Men and women have the same population mean body temperature.
Upper H 1: Men and women have different population mean body temperatures.
E.
This test is not appropriate due to the results of the test for interaction between the two factors.
Part 6
If appropriate, determine the test statistic. Select the correct choice below and, if necessary, fill in the answer box within your choice.
A.
The test statistic is
enter your response here.
(Round to two decimal places as needed.)
B.
This test is not appropriate due to the results of the test for interaction between the two factors.
Part 7
If appropriate, determine the P-value. Select the correct choice below and, if necessary, fill in the answer box within your choice.
A.
The P-value is
enter your response here.
(Round to three decimal places as needed.)
B.
This test is not appropriate due to the results of the test for interaction between the two factors.
