Question

The annual salary for elementary teachers is left-skewed with a mean of $29,800 and a standard deviation of $2400. Suppose a sample of 100 teachers was chosen Describe the sampling distribution of the sample mean. O A. Normally distributed-s-$29,800, and ơřs24 OB. Approximately normally distributed, u -$29,800, and o $24 C. Normally distributed, --$29,800, and ơ -$240 0 D. Approximately normally distributed, μΧ-$29,800, and ơū_$240

Answer 1

Solution :

Given that,

mean = $\mu$ = $29800

standard deviation = $\sigma$ = $2400

n = 100

The sampling distribution of mean and standard deviation is ,

$\mu$ _{$\bar x$} = $29800 and

$\sigma$ _{$\bar x$} = $\sigma$ / $\sqrt$ n = 2400 / $\sqrt$ 100 = 2400 / 101 = 240

Option D) is correct .