Having estimated the mean amount of time spent watching TV in Example 6, we might want to estimate the mean for various groups, such as different religious groups. Let€™s consider Muslims. A recent GSS had responses on TV watching from seven subjects who identified their religion as Muslim. Their responses on the number of hours of TV watching were 0, 1, 2, 2, 2, 2, 2, 3, 5 shown also in the accompanying MINITAB dot plot.

a. What must we assume to use these data to find a 95% confidence interval for the mean amount of TV watched by the population of American Muslims?
b. The table shows the way MINITAB reports results. Explain how to interpret the 95% confidence interval in context.

c. What is the main factor causing the confidence interval to be so wide?

Transcribed Image Text:

Dotplot of television television Variable N Mean StDev SE Mean 95% CI television 9 2.111 1.364 0.455 (1.062, 3.160)