Answer :
On analyzing the data we come to the conclusion that tutoring has no significant effect on the math scores.
A higher test score is indicated by a positive d value, as in: D = 5 represents a five-point rise.
Null Hypothesis: mu <= 0
Alternative Hypothesis: mu > 0
A claim that tutoring has an impact on arithmetic performance.
That is to say, the assertion is
The claim is in the alternative hypothesis, and according to this hypothesis, the inequality sign in this situation indicates that we have a right-tailed test.
alpha = 0.01
The difference between the "before" and "after" is represented by d.
after - before = d
If d is negative, then before > after displays a reduction in test score.
If d is true, then before after is demonstrated.
If d is positive, then before after displays an increase in test score.
Utilize technology to determine that the sample mean and sample standard deviation of the column of differences are represented by dbar = = 5.2 = 5.44977. (d).
The sample size is 5 given that we have 5 rows of matched data.
Test statistic t = 2.1336,
p-value is 0.0499
Hence , we are not rejecting the null hypothesis.
The impact of tutoring on math test scores is not sufficiently supported by the available data.
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