Question

For a two tailed hypothesis test at the significance level a, the null hypothesis H0: M=M0 will be rejected in favor of the alternative hypothesis Ha: M does not = M0 lies outside the (1-a) level confidence interval for M. Illustrate the preceding relationship by obtaining the appropriate one mean t interval for the data below.

According to a survey, the average person watched 4.53 hours of television per day in 2005. A random sample of 20 people gave the following number of hours of television watched per day for the last year. At the 1% significance level, the data do not provide sufficient evidence to conclude the amount of television watched per day last year by the average person differed from that in 2005. (x= 4.785 and s= 2.313)

1.3
4.5
5.4
3.1
5.4
2.1
5.8
1.7
7.9
9
6.8
5.7
9.4
3.9
2.4
3
4.1
3.7
4.1
6.4

The confidence interval is from to .

Answer 1

Solution:

Given population mean = = 4.53 which lies in the confidence interval. Hence we can say At the 1% significance level, the data do not provide sufficient evidence to conclude the amount of television watched per day last year by the average person differed from that in 2005.

Done