Question

A study was conducted to determine if the salaries of elementary school teachers from two neighboring states were equal. A sample of 100 teachers from each state was randomly selected. The mean from the first state was $29,100 with a population standard deviation of $2300. The mean from the second state was $30,500 with a population standard deviation of $2100. Test the claim that the salaries from both states are equal. Use ΅ = 0.05. Justify your decision with work. Write a short parargraph about the results of the test and what you can conclude about the claim.

Answer 1

Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.