In: Statistics and Probability
According to a newspaper article, teens watch on average 315 minutes of television a week. A concerned parent collected a random sample of 12 individual teens to test the claim. The sample average for the number of minutes was 337. The sample standard deviation was 55 minutes. With alpha = 0.1, is there enough evidence to reject the article's claim?
a) Is this a test that uses, z-scores, t-scores, or chi-squared
values?
b) Does this problem involve proportions?
c) What is(are) the critical value(s) for the problem?
d) What is the test value and which formula did you use? The
formulas are numbered.
e) Should the researcher reject the claim?
a) This test uses t-scores as we are testing population mean and instead of population standard deviation, sample standard deviation is given.
b) No, this involves only population mean.
Conclusion in problem context :
There is not sufficient evidence to reject the researcher's claim that teens watch on average 315 minutes of television a week.