Calculate an 80% confidence interval for the true mean bone density of the light a) smoker group. Is there enough evidence to suggest that heavy smokers have a lower measure for bone density than light smokers? To answer the question, conduct a hypothesis test with a = .05. (Use df = 25.) b) c) Write out in words what a Type 2 error would in this situation. (Use the language of the problem: bone density, smoking, etc.)

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YTACTICE A study was conducted to analyze the relationship between bone density (in
g/cm?) and tobacco consumption ("light" or "heavy" smoker).
Results were as follows:
##
sd
group mean
## 1 light 0.79 0.11 15
## 2 heavy 0.75 0.16 15
n
Assume that bone density is normally distributed.
a)
Calculate an 80% confidence interval for the true mean bone density of the light
smoker group.
b) Is there enough evidence to suggest that heavy smokers have a lower measure for
bone density than light smokers? To answer the question, conduct a hypothesis
test with a = .05. (Use df = 25.)
c)
Write out in words what a Type 2 error would in this situation. (Use the language of
the problem: bone density, smoking, etc.)
Transcribed Image Text:YTACTICE A study was conducted to analyze the relationship between bone density (in g/cm?) and tobacco consumption ("light" or "heavy" smoker). Results were as follows: ## sd group mean ## 1 light 0.79 0.11 15 ## 2 heavy 0.75 0.16 15 n Assume that bone density is normally distributed. a) Calculate an 80% confidence interval for the true mean bone density of the light smoker group. b) Is there enough evidence to suggest that heavy smokers have a lower measure for bone density than light smokers? To answer the question, conduct a hypothesis test with a = .05. (Use df = 25.) c) Write out in words what a Type 2 error would in this situation. (Use the language of the problem: bone density, smoking, etc.)
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