Question

STATS 240 Name: Practice Lab #5 cen sus results indicated that the age at which American men first married mean of 25.3 years. It is widely suspected that young people today have ent opinion about when to get married. A random sample of 32 young men is average married age of the sample is 28.6 with a standard deviation of 5.4. esis test for people nowadays getting married at a different average age 3. In 196 differer taken. The a hypoth from 25.3 year-olds. Use 1% significance level.

Answer 1

n = 32, μ = 25.3, s = 5.4, x-bar = 28.6    

Ho: μ = 25.3    

Ha: μ ≠ 25.3    

α = 0.01    

Degrees of freedom = 32 - 1 = 31

SE = s/√n = 5.4/√32 = 0.9546   

t = (x-bar - μ)/SE = (28.6 - 25.3)/0.9546 = 3.457  

p- value = 0.0016    

Since 0.0016 < 0.01, we reject Ho

There is enough statistical evidence that the age of first marriage is now different from 25.3 years