Answer to Question #309150 in Statistics and Probability for Kiiiiyy

Question

A researcher used a developed problem solving test to randomly select 50 grade 6 pupils. In this sample,

x=80. The mean and the standard deviation of the population used in the standardization of the test were 75 and 15, respectively. Test the hypothesis that the sample mean differ significantly from the population mean. Use level of significance of 0.05. The z value is 1.96.

Answer 1

$H_o:\mu=75$

$H_a:\mu≠75$

$Z=\frac{50-75}{\frac{15}{\sqrt(5)}}=-1.30$

$-1.30<1.96$

Fail to reject $H_0$ . There is no sufficient evidence at 5% level of significance.