Question

A politician claims that the mean salary for managers in his state is more than the national? mean, ?$80,000. Assume the population is normally distributed and the
population standard deviation is ?$7400. The salaries? (in dollars) for a random sample of 30 managers in the state are listed.
At alpha=0.05?, is there enough evidence to support the? claim? alpha= Hypothesis (use words if needed) Ho: H1: test statistic= p-value= Decision= Interpretation

74,740 82,369 92,359 81,979 95,147 81,132 92,618 75,113 91,420 82,731 83,839 80,557 74,411 92,775 73,832 94,867 82,942 97,082 91,206 79,269 81,599 94,518 97,571 72,940 86,787 73,754 82,950 84,796 97,724 71,094

Answer 1

Solution:

First we write given things:

Sample size = n =30

Population standard deviation = = 7400

= 0.05

Also we find sample mean from given sample data.

So, sample mean = = 84804.03

Now we start testing given hypothesis

(5) Interpretation:

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population mean ? is greater than 80000, at the 0.05 significance level