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To estimate the benefits of an SAT prep course, a random sample of 10 students enrolled in the course is selected. For each of these students, their entrance score on the exam taken at the beginning of the course is recorded. Their exit score on the exam they take at the end of the course is recorded as well. The table displays the scores.

A 3-column table with 10 rows. Column 1 is labeled student with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Column 2 is labeled Before with entries 800, 870, 860, 820, 1140, 1050, 850, 910, 830, 1140. Column 3 is labeled after with entries 1100, 1010, 1000, 980, 1410, 1270, 1020, 1010, 1060, 1340.

A 98% confidence interval for the mean difference (after – before) in score is 137.04 points to 248.96 points. Based on the confidence interval, is it reasonable to claim that the SAT prep course is beneficial?

No, 0 is not contained in the confidence interval.
Yes, 0 is not contained in the confidence interval.
No, the confidence interval only contains positive values.
Yes, the confidence interval only contains positive values.

Sagot :

Answer:

,, yes the confidence interval only contains positive values

Answer:

Yes, the confidence interval only contains positive values.

Step-by-step explanation:

A 98% confidence interval for the mean difference (after – before) in score is 137.04 points to 248.96 points.

Based on the confidence interval if we go though the table we will find that each student show increase in confidence level .

As, At least the confidence level improved because it contains positive values only if we subtract previous value with the new values.

Therefore ,Yes, the confidence interval only contains positive values.

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