Question

Reading Americans ~ A social science research group randomly surveyed 500 Americans with a graduate degree and 560 Americans without a graduate degree on the daily time they spent reading for personal interest. The summary statistics are given in the table below in minutes.

Population/Group	Education level	Average daily reading time	Standard Deviation
1	Graduate degree	28	8
2	No graduate degree	8	3

The social science research group wants to estimate the difference between the actual mean daily time spent reading by Americans with graduate degree and without graduate degree.

Which of the following conditions must be met for a confidence interval for the difference between two population means to be valid?

Question 5 options:

	The observations must be independent within the groups and between groups.
	There must be at least 10 success and 10 failure observations in each sample.
	There must be an expected count of at least 30 for each level of the categorical variable.
	There must be at least 3 levels of the categorical variable.
	Both population data distributions must be nearly normal or both sample sizes must be at least 30.
	There must be at least 30 success and 30 failure observations in each sample.

Answer 1

The correct conditions are:

The observations must be independent within the groups and between groups.

Both population data distributions must be nearly normal or both sample sizes must be at least 30.

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