QUANTATIVE ANALYSIS WORK SOLUTION ONLY

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Module 3 Assignment 1 Template

Fill in the answers for each table and answer the FIVE bolded questions below. Please round up your z scores to the hundredths spot, two decimals to the right and p values to the thousandths spot three decimals to the right as needed. If the p value is less than .001, please report p < .001. Please note when a value appears in SPSS as .000, it is truly p<.001. If you click on the .000 in the SPSS output you can see the value.

Make sure to write out a formal APA statement of conclusion for each child. The null hypothesis (H0) states that the concentration in children in the sample is the same as the concentration of children in the population. Assume a two-tailed test.

PROBLEM #1

Problem 1: µ = 100 ; σ =10

Child

Concentration

Z

P

Hypothesis

Error

Child 1

75

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 2

81

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 3

89

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 4

99

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 5

115

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 6

127

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 7

138

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 8

139

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 9

142

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 10

148

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Report z scores to two decimals and p values to three decimals. If the p value is less than .001, report it as p < .001.

Which child or children, if any, appeared to come from a significantly different population than the one used in the null hypothesis?

PROBLEM #2

Problem 2: µ = 100 ; σ =20

Child

Concentration

Z

P

Hypothesis

Error

Child 1

75

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 2

81

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 3

89

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 4

99

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 5

115

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 6

127

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 7

138

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 8

139

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 9

142

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 10

148

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Report z scores to two decimals and p values to three decimals. If the p value is less than .001, report it as p < .001.

Which child or children, if any, appeared to come from a significantly different population than the one used in the null hypothesis?

PROBLEM #3

Problem 3: µ = 100 ; σ =30

Child

Concentration

Z

P

Hypothesis

Error

Child 1

75

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 2

81

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 3

89

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 4

99

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 5

115

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 6

127

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 7

138

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 8

139

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 9

142

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 10

148

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Report z scores to two decimals and p values to three decimals. If the p value is less than .001, report it as p < .001.

Which child or children, if any, appeared to come from a significantly different population than the one used in the null hypothesis?

PROBLEM #4

Problem 4: µ = 100 ; σ =40

Child

Concentration

Z

P

Hypothesis

Error

Child 1

75

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 2

81

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 3

89

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 4

99

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 5

115

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 6

127

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 7

138

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 8

139

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 9

142

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Child 10

148

z=

p=

Decision about H0:

Possible Error:

APA Statement:

Report z scores to two decimals and p values to three decimals. If the p value is less than .001, report it as p < .001.

Which child or children, if any, appeared to come from a significantly different population than the one used in the null hypothesis?

Overall, what happens to the “significance” of each child’s data as the data are progressively more dispersed (in other words, what happens to significance as the standard deviation increases)?