Question

Independent-Samples t-Test

This analysis is looking at the difference in reading scores between public- and private-school students. This

data comes from publicly-available data on a sample of high school students in NY. Use the output tables

included below to answer the following questions:

a. What is the mean & standard deviation for public school reading scores?

b. What is the mean & standard deviation for private school reading scores?

c. Can we assume homogeneity of variance (Hint: Look at the Levene’s Test Sig. column)?

Assignment 6

SPSS Assignment 2

d. Was the difference between the reading scores at the two types of school significantly different?

e. In your own words, describe the relationship between type of school and reading scores.

Group Statistics

type of school

N

Mean

Std. Deviation

Std. Error Mean

public

168

51.8452

10.42279

.80414

reading score

private

32

54.2500

9.19677

1.62578

Independent Samples Test

Levene's Test for

Equality of Variances

t-test for Equality of Means

95% Confidence

Interval of the

Difference

F

Sig.

t

df

Sig. (2-

tailed)

Mean

Difference

Std. Error

Difference

Lower

Upper

Equal variances

assumed

.564

.453

-1.217

198

.225

-2.40476

1.97519

-6.29986

1.49034

reading

score

Equal variances

not assumed

-1.326

47.496

.191

-2.40476

1.81377

-6.05260

1.24308

Answer 1

a. The mean = 51.8452 & standard deviation = 54.25 for public school reading scores.

b. The mean = 54.25 & standard deviation = 9.19677 for private school reading scores.

c. First Write the Null Hypothesis and Alternative Hypothesis of Levene's Test:

Null Hypothesis: The population variance are equal (present homogeneity of variance).

Alternative Hypothesis: The population variance are not equal (not present homogeneity of variance).

Yes, we can assume homogeneity of variance because from Levene's test the p- value = 0.453 that is greater than 0.05,so we do not reject the Null Hypothesis, it's means there present homogeneity of variance.

d. Write Null Hypothesis and Alternative Hypothesis of Independent t test:

Null Hypothesis: There is no significant difference in mean of reading scores of public and private school.

Alternative Hypothesis: There is a significant difference in mean of reading scores of public and private school.

The difference between the reading scores at the two types of school not significantly different. Because the p value = 0.225 that is greater than 0.05 and we do not reject the Null Hypothesis.

e. The relationship between type of school and reading scores. it's means when someone study in public school and someone study in private school that is not affect the reading scores