Question

Test the research hypothesis that the mean weight in men in 2006 is more than 191 pounds. We will assume the sample data are as follows: n=100, =197.1 and s=25.6.

Answer 1

= 191

=197.1

S =25.6

n =100

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 191

Ha : > 191

Test statistic = t

= ( - ) / S / n

= (197.1 -191) / 25.6 / 100

= 2.383

Test statistic = t =2.383

df=n-1=

P-value=P(t99>2.383)

P-value=0.009

let us consider = 0.05  

P-value <

0.009 <0.05

reject the null hypothesis

There is sufficient evidence to conclude that the mean weight in men in 2006 is more than 191 pounds.