Question

Test the claim that the mean time Americans send watching TV per day is 4.4 hours at the 0.01 level
of significance. A random sample of 360 people had a mean time of 4.05 hours of viewing per day.
Assume that the population watching times are normally distributed with standard deviation 1.08
hours. Explain how you arrived at your answer by using the appropriate distribution curve to show
the acceptance region and the critical region.

Answer 1

Solution :

= 4.4

= 4.05

s = 1.08

n = 360

This is the two tailed test .

The null and alternative hypothesis is

H0 :   = 4.4

Ha : 4.4

Test statistic = t

= ( - ) / s / n

= (4.05 -4.4) /1.08 / 360

= -6.149

P (t< - 6.149 ) = 0

P-value = 0.0000

= 0.01  

0 < 0.01

Reject the null hypothesis .

There is sufficient evidence to suggest that