A researcher is interested in the number of hours parents of pre-school children

Question

A researcher is interested in the number of hours parents of pre-school children in the United States spend reading to their children. To investigate this, he obtains the student list from a local preschool and contacts the parents of 30 children from this list. Based on the parents’ reports he found an average of 8.2 hours per week with a margin of error of 1 hour.

a.   What is the population of interest in this problem?

b.   What is the parameter of interest?

c.   Would you expect the parents’ reports to generally underestimate or overestimate the amount of time they actually spend reading to their children? Explain.

Explanation / Answer

Solution:

population consists of all parents of all pre-school children in US.

The parameter of interest is µ, averaage number of hours.

A population parameter is the no of hours parents of pre-school children inthe United States spend reading to their children is 8.2 hrs per week.The other population parameter is the no of hours parents of pre-school children inthe United States spend reading to their children is not 8.2 hrs per week.

the best estimate fpr population mean is sample mean .

we find the confidence interval by adding and subtraction sample mean from margin of error.

CI =sample mean ±margin of error

=8.2±1

8.2-1<<8.2+1

7.2<<9.2

we ar confident that the trueours population mean lies in between 7.2 hrs and 9.2 hours.

basing on this confidence interval we can say parents reports is not underestimating or overestimating.

as

8.2 hours lies in between 7.2 and 9.2 hours.

7.2<8.2<9.2

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