Question

Majesty Video Production Inc. wants the mean length of its advertisements to be 30 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 16 ads produced by Majesty. What can we say about the shape of the distribution of the sample mean time

Answer 1

Explanation:

Given that Majesty Video Production Inc. wants the mean length of its advertisements to be 30 seconds

Let X be the mean length of advts.

X is N(30, 2)

n =16

Std error of sample = 2/sqrt 16 = 0.5

The sample mean also will be normal with mean -30 and std dev = 0.5

So bell shaped symmetrical and uni modal