Question
Asked Dec 9, 2019
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In your local high school, a random sample of 10 high school seniors participated in a course to increase their knowledge of healthy living activities. The students were given a knowledge quiz before and after the program. The scores are listed below. Calculate a two-sided 95% confidence interval for the mean difference in the scores. Give an interpretation of the confidence interval. You MUST show your work
 

Student
Before
After
1
65
70
2
55
71
3
72
68
4
49
65
5
71
89
6
89
95
7
90
99
8
85
82
9
75
84
10
78
76
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Expert Answer

Step 1

Step-by-step procedure to obtain the confidence interval using MINITAB:

Step 1: Choose Stat > Basic Statistics > Paired t.

Step 2: In First Sample, enter the column of Before.

Step 3: In Second Sample, enter the column of After.

Step 4: Choose Options.

Step 5: In Confidence level, enter 95.

Step 6: In Alternative, select not equal.

Step 7: Click OK in all the dialogue boxes.

Step 8: Click OK.

Step 2

Output using the MINITAB sof...

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Image Transcriptionclose

Paired T-Test and Cl: Before, After Descriptive Statistics Sample N Mean StDev SE Mean Before 10 72.90 13.69 4.33 3.73 After 10 79.90 11.80 Estimation for Paired Difference 95% CI for di fference (-12.83, -1.17) Mean StDev SE Mean 2.58 -7.00 8.15 H_difference: mean of (Before - After) Test Ho: H difference = 0 Null hypothesis Alternative hypothesis Hi: Hdifference 0 T-Value P-Value -2.72 0.024

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Math

Statistics

Hypothesis Testing

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