Question

Consider the following hypothesis test: H0: mu = 20; Ha: mu is less than 20; A sample of 50 provided a sample

Answer 1

Answer:

Step-by-step explanation:

First, since our sample size of 50 is greater than 30, we can use the z-test as well as the Normal Table for this problem.

a.) We begin by calculating our test statistic, z. In this case, z = (mean - mu)/(standard error).

The standard error (SE) can be calculated using the following equation:

SE = (standard deviation)/((sample size)^1/2).

So, we have that SE = 2/(50^1/2) = .282842712.

Then, we calculate z = (19.4 - 20)/.282842712 = -2.121320347.

Since the problems asks for z to 2 decimal places, we write z = -2.12.