Question

_____________I. The weights of all babies born at a hospital have a mean of 7.2 pounds and a standard deviation of 0.65 pounds. The mean of the sampling distribution of the means of all samples of 36 babies born at this hospital is _________?

a) 7.2                  B 1.2                     C) 0.2                    D) 0.1083

_____________II. A company has 411 employees and 104 of them are college graduates. The proportion of employees of this company who are college graduates, rounded to three decimal places, is __________?

1. 2.543     B) 0.253               C) 3.952                D) -1.954

_____________III. According to the Central Limit Theorem, the sampling distribution of the sample means of any distribution is approximately normal, for any shape of the population distribution, if ____________?

1. n is 30 or larger         B) n is negative        C) n is less than 30          D) n is 50 or larger

Answer 1

Solution :

1)

The mean of the sampling distribution of the means of all samples of 36 babies born at this hospital is 7.2 .

2)

The proportion of employees of this company who are college graduates = 104 / 411 = 0.253

3)

According to the Central Limit Theorem, the sampling distribution of the sample means of any

distribution is approximately normal, for any shape of the population distribution, if n is 30 or larger