STATS questions 1 True or False From the central limit theor

STATS questions

1.

True or False. From the central limit theorem, we know that if we draw an SRS from any population the sampling distribution of the sample mean will be EXACTLY Normal.

2.Which of the following is/are NOT properties of a binomial setting for sample counts?

I.

The observations are all independent.

II.

Each observation is categorized as being either a success or a failure.

III.

The product of n and p must be at least 10.

IV.

The probability of a success is the same for each observation.

All of the above are required properties of the binomial setting.

IV

III

I

II

Solution

1.

Given statement is False.

Correct statement : From the central limit theorem, we know that if we draw an SRS from any population the sampling distribution of the sample mean will be Approximately Normal.

2.

The property \"The product of n and p must be at least 10.\" is not necessary for binomial distirbution. This property must be true for using normal approximation of binomial distribution.