Question

In: Statistics and Probability

To further examine the school performance scores of the district, the superintendent identified schools within the...

To further examine the school performance scores of the district, the superintendent identified schools within the district that could be matched to schools from surrounding districts using a series of demographic characteristics such as size, socio-economic status, and percent special education students. The data that were collected are presented below. School Pair 1 2 3 4 5 6 7 8 9 Superintendent School 70 73 70 73 82 72 70 82 75 Matched School 70 69 71 73 87 67 70 69 78 Verses School Pair 10 11 12 13 14 15 16 Superintendent School 75 82 88 74 79 65 74 Matched School 68 85 87 66 79 61 61 1. What are the mean school performance scores for the superintendent’s district and matched schools? 2. What are the standard deviations of the school performance scores for the superintendent’s district and matched schools? 3. State an appropriate null hypothesis for this analysis. 4. What is the observed or computed value of t? 5. What is the value of the degrees of freedom that are reported in the output? 6. What is the reported level of significance from the T Test for Dependent Means? 7. Based on the results of the T Test for Dependent Means, what would you conclude about the difference in scores of schools in the superintendent’s district and the matched schools? 8. Present the results as they might appear in an article. This must include a table and narrative statement that reports the results of the T Test for Dependent Means. I also need to know how to enter it into the spss calculator

Expert Solution

1. What are the mean school performance scores for the superintendent’s district and matched schools?

Variable Mean
Superintendent School 75.25
Matched School 72.56

2. What are the standard deviations of the school performance scores for the superintendent’s district and matched schools

Variable StDev
Superintendent School 5.92
Matched School 8.35

3. State an appropriate null hypothesis for this analysis.

Null hypothesis : H₀ : There is no difference between in scores of schools in the superintendent’s district and the matched schools.

4. What is the observed or computed value of t?

Paired t test Using Minitab:

Click Stat > Basic Statistics > Paired t... on the top menu, as shown below:

You will be presented with the following Paired t (Test and Confidence Interval) dialogue box

Leave the Samples in columns option selected.

Click the OK button. The output that Minitab produces is shown below.

So Observed t value = 1.99

5. What is the value of the degrees of freedom that are reported in the output?

degrees of freedom = N-1 = 16-1= 15

Please post remaining questions separately. Hope this will be helpful. Thanks and God Bless You :)

orchestra answered 2 years ago

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