Name_____________________

Adequacy of a Sample:

The Basketball Season

During a typical basketball season, a highly successful team had and average of 111 points per game. Look at these scores from the 16 games when some sports writers alleged that the team was in a very real "slump" since 10 of the 16 games were below the team's average scoring. Find out how well or poorly this mean sample of 16 represented that population if it were just a random sample. Here is how to do so by constructing a confidence 95% interval.

Here are the scores:

104

109 Complete the rest of this computation here.

111 Show your work.

113

109

112

108

107

108

111

106

117

110

109

118

107

The mean of this sample is: 109.69

The *s* (standard deviation) of the sample is: 3.22

What is the 95% confidence interval for these sample data?__________.

To find out if this sample is not representative, we can see if the population mean is captured by the confidence interval around the sample mean. Is the population mean captured by the confidence interval around the sample mean?___________

So, is this sample representative of the population (with any differences between means within the limits of sampling error)?______________

*This exercise is based on one developed by Michael Mayer.*