A researcher is investigating if adults who smoke more than 2 packs a day get fewer hours of sleep compared to other adults who do not smoke often. He collected a random sample of 35 smokers. The mean of this sample was 10.5 On average, adults that do not smoke often get 12 hours of sleep with a standard deviation of 3 and the distribution is normal. a. With alpha level of 0.01, should the researcher reject the null hypothesis? Why / why not? b. One of the researcher’s colleagues belongs to a very big family. He advised our researcher to collect data for all smokers in the family to save time and speed up the data collection process. Do you think the researcher should follow this advice? Why / why not?

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A researcher is investigating if adults who smoke more than 2 packs a day get
fewer hours of sleep compared to other adults who do not smoke often. He
collected a random sample of 35 smokers. The mean of this sample was 10.5
On average, adults that do not smoke often get 12 hours of sleep with
a standard deviation of 3 and the distribution is normal.


a. With alpha level of 0.01, should the researcher reject the null hypothesis? Why / why
not?
b. One of the researcher’s colleagues belongs to a very big family. He advised our
researcher to collect data for all smokers in the family to save time and speed up the
data collection process. Do you think the researcher should follow this advice? Why /
why not?

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Step 1

Given that, A researcher is investigating if adults who smoke more than 2 packs a day get fewer hours of sleep compared to other adults who do not smoke often. He collected a random sample of 35 smokers. The mean of this sample was 10.5

On average, adults that do not smoke often get 12 hours of sleep with a standard deviation of 3 and the distribution is normal.

We need to test this Hypothesis.

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