Question

The mean age at which men in the United States marry for the first time follows a distribution skewed to the right with a mean of 26.0 years.

Based upon a sample of 49 men the mean age men marry for the first time in Maryland is 24 years with a sample standard deviation 3.5 years. Answer the following questions based on the random sample of 49 men?

a.,        The shape of the sampling distribution is?

1. Skewed to the left      ii. Symmetrical        iii.     Skewed to the right

b.        The standard error of the mean for the sampling distribution is:

Answer 1

Solution,

Given that,

mean = $\mu$ = 26.0

standard deviation = $\sigma$ = 3.5

n = 49

a) The shape of the sampling distribution is Symmetrical

$\mu$$\bar x$ = $\mu$ = 26.0

b) SE = s / $\sqrt$ n = 3.5 / $\sqrt$ 49 = 0.5