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Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations.
Five students took a math test before and after tutoring. Their scores were as follows.
Student
A
B
C
D
E
Before
71
66
67
77
75
After
65
80
87
Using a 0.01 level of significance, test the claim that the tutoring has a positive effect on the math scores.
1. State the null and alternative hypotheses.
2. Find d, d-, and sd. Note: It doesn't make any difference which row you subtract
3. Find the value of the test statistic, t.
4. Only Find the critical value(s) and state the decision about the null hypothesis using the test statistic and the critical value
5. State the conclusionin non-technical terms.
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A student earned grades of 78, 78, 91, and 91 on her four tests. She earned 78 on the final exam and 87 on her class project. What is her weighted mean grade? Roundto one decimal place.
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a semiautomatic popcorn popper is shown. after the unpopped corn is placed in screen s the fan f blows air past the
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