Question

A poll of a random sample of 1500 adults reported that respondents slept an average of 6.5 hours on weekdays and 7.2 hours on​ weekends, and that 22​% of respondents got eight or more hours of sleep on​ weekdays, whereas 44​% got eight or more hours of sleep on weekends. Complete parts a and b below.

a. To compare the means or the percentages using inferential​ methods, should you treat the samples on weekdays and weekends as independent samples or as dependent​ samples? Explain.

The samples should be treated as

independent OR dependent

because each person

is OR is not

included in both samples.

b. To compare these results to polls of other people taken in previous​ years, should you treat the samples in the two years as independent samples or as dependent​ samples? Explain.

The samples should be treated as

dependent OR independent

because each person

is OR is not

included in both samples.

Answer 1

Answer:

Given data

The average sleep of the respondents in weekends = 7.2 hours

The average sleep of the respondents in weekdays = 6.5 hours

n = 1500

(a)To compare the means or the percentages using inferential​methods, should you treat the samples on weekdays and weekends as independent samples or as dependent​ samples:

Answer:

The goal is to gather whether the examples on weekdays and weekends are independent or dependent.

Two samples  are said to be independent if one isn't influenced by the other.The tests might be from a similar population or from various populations.Here the sample  is gathered for similar people on weekdays and weekends.Therefore  the sample  can be said as a paired sample.Hence the sample are dependent since sleep on weekdays and sleep  on weekends has some impact on each other.

(b) To compare these results to polls of other people taken in previous​ years, should you treat the samples in the two years as independent samples or as dependent​ samples:

Answer:

The point is to induce whether the samples  taken in various years regarding the results of polls of others are independent or dependent.

The samples taken in various years  of others are  independent since  polls of other people taken in earlier  years had no impact  on the polls of individuals  taken in current year.Therefore  in this case it can be conclude that the samples are independent.