1)        An educator believes that new reading activities in the classroom will help elementary school pupils improve their reading ability. She arranges for a third grade class of 11 students to follow these activities for  an 8-week period. A control classroom of 13 third graders follows the same f curriculum without the activities. At the end of the 8 weeks, all students are given the Degree of Reading Power (DRP) test. which measures the aspects of reading ability that the treatment is designed to improve. The table below represents the results of this test. See Data Set for a

Assuming the population of test scores are normally distributed, does it appear that these new reading activities actually improve scoring on the DRP at the 5% significance level?

Be sure to:

Ho:

State the null and alternate hypothesis.                H

Declare the Rejection Region(s) (you may use classical or p-value approach)

I               then reject II 0

What is the calculated test score (test statistic) for this test?      

What is the p-value for this test?             

2)            A study was done to determine if a new diet plan would decrease weight. A random sample of 14 individuals were weighed before and after the plan with the results listed below (Assume the population of weights are normally distributed): See Data_Set for values,   

Person Before Diet Plan

•fter Diet Plan   111111111111111111111111111111111111111111111111111111111111

significance level of 5 %, does the evidence indicate that this diet plan is effectiv e? Using a si

Be sure to:

HO

State the null and alternate (hypothesis. I I 1

Declare the Rejection Region(s) (you may use classical or p-value approach)

then reject         0

t is the calculated to score (test statistic.) for this test?

11 her

 ifitat • the p-value for this test?

Conclude either “reject” or “do not reject” the null hypothesis based on your analysis.(Circle one)

Reject I I 0           1)0 Not Reject II

IDoes this evidence support the claim that the diet plan decreases  etght at the 5% significance vel?Oes or nip}

4) A company claims that their new die cast machine creates a lower proportion of defective parts than their old die cast machine. As evidence they gathered the following information below

                Number of total parts made       Number of defective ‘arts made

Old Die Cast Machine     400                               38

New Die Cast Machine  400                      22

Using a significance level of 10%, is there enough evidence to support the companies claim? Be sure to:

State the null and alternate hypothesis.                Ho

                                                                                H1                          

Declare the Rejection Region(s) (you may use classical or p-value approach)

                I then reject H

what is the calculated test score (test statistic) for this test?       

What is the p-value for this test?             

Conclude either “reject” or “do not reject” the null hypothesis based on your analysis.(Circle I one)

Reject H 0            Do Not Reject H

Does this evidence suggest that the new machine has a lower proportion of defective parts than the old machine at the 10% significance level? (yes or no)