Answer the following:

1.) What are the processes in identifying the rejection regions of the two

tests?

Solve for the test-statistic value of the problem below. Show your solutions.

1.) A researcher used a developed problem solving test to randomly select 50

grade-6 pupils. In this sample, the mean and standard deviation were found to

be 80 and 10 respectively. The population mean and standard deviation used

in the standardization of the test were 75 and 15, respectively. Does the

sample mean differ significantly from the population mean?

Answer:

Solution:

2.) The Head of the Math Department announced that the mean score of

Grade 9 students in the first periodic examination in Mathematics was 89 and

the standard deviation was 12. 0ne student, who believed that the mean

score was less than this, randomly selected 25 students and computed their

mean score. She obtained a mean score of 85. At a 0.01 level of significance,

test the student's beliefs.

Answer: t= -1.67 (if wrong, you can change the answer. sorry.)

Solution: