The sponsors of televisions shows targeted at the market of 5 - 8 year olds want to test the hypothesis that children watch television at most 20 hours per week. The population of viewing hours per week is known to be normally distributed with a standard deviation of 6 hours. A market research firm conducted a random sample of 30 children in this age group. The resulting data follows:
19.5 29.7 17.5 10.4 19.4 18.4
14.6 10.1 12.5 18.2 19.1 30.9
22.2 19.8 11.8 19.0 27.7 25.3
27.4 26.5 16.1 21.7 20.6 32.9
27.0 15.6 17.1 19.2 20.1 17.7
At a .10 level of significance, use Stat Tools (or Excel) to test the sponsors' hypothesis. State the null and the alternative hypotheses and the decision rule. Finally, discuss your findings.