Question

Questions 11 and 12 are based on the following information: An investigation of the effectiveness of a training program to improve customer relationships included a pre-training and post-training customer survey, 12 customers were randomly selected to score the customer relationships both before and after the training. The differences of scores are calculated as the post-training survey score minus the pre-training survey score. The sample mean difference of scores is 0.5. The test statistic is 1.03 for testing whether the population mean difference µD ≤ 0. 11. Based on the above information, the sample standard deviation of the differences of scores is . A. 1.49 B. 1.53 C. 1.48 D. 1.68 12. Suppose that we want to test whether the training program improved the customer relationships, the null hypothesis is µD ≤ 0. Which of the following is correct? A. At the 0.05 significance level, we reject the null, the training program improved customer relationships. B. At the 0.05 significance level, we do not reject the null, the training program did not improve customer relationships. C. At the 0.10 significance level, we do not reject the null, the training program did not improve customer relationships. D. At the 0.10 significance level, we reject the null because the test statistic is greater than the critical value 1.645.

Answer #1

Questions11and12 are based on the following information: An
investigation of the effectiveness of a training program to improve
customer relationships included a pre-training and post-training
customer survey, 12 customers were randomly selected to score the
customer relationships both before and after the training. The
differences of scores are calculated as the post-training survey
score minus the pre-training survey score. The sample mean
difference of scores is 0.5. The test statistic is 1.03 for testing
whether the population mean difference µD...

While teaching a unit on fractions, a fifth-grade teacher does a
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of the unit. She found the difference of each student's scores
(post-test - pre-test) and then finds the mean. There are 21
students in her class. The mean of the differences is 7 points,
with a standard deviation of 3 points. The teacher wants to know if
the post-test scores are different than the pre-test...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=117n=117 subjects. The average
difference (post - pre) is ¯d=4d¯=4 with a standard deviation of
the...

Suppose that in the absence of special preparation SAT
mathematics scores vary normally with a mean of 475 and a
population standard deviation of 100. One hundred students go
through a rigorous training program designed to raise their SAT
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students’ average score after the training program is 510.9. Test
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mathematics scores. Test at the 5% level of significance.
a) State the null (H0)...

You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001. dd denotes the mean of the
difference between pre-test and post-test
scores.
Ho:μd=0Ho:μd=0
Ha:μd<0Ha:μd<0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
the following sample of data:
post-test
pre-test
49.3
31.9
47.1
27.5
42.6
40.9
42.2
43.4
41.5
39.1
41.8
52.5
33.5
17
42.9
40.1
33.5
31.6
39.8
57.2
47.1
45.7
46.5
50.9
51.7
52.4...

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level of α=0.01α=0.01. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=12n=12 subjects. The average
difference (post - pre) is ¯d=7.1d¯=7.1 with a standard deviation
of the...

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level of α=0.005. For the context of this problem, μd=μ2−μ1 where
the first data set represents a pre-test and the second data set
represents a post-test.
Ho:μd=0
Ha:μd>0
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distributed, but you do not know the standard deviation. You obtain
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difference (post - pre) is ¯d=21.6 with a standard deviation...

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level of α=0.10α=0.10. For the context of this problem,
d=x2−x1d=x2-x1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
H1:μd>0H1:μd>0
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PLEASE SHOW WORK
Suppose that in a two-tailed hypothesis test you
calculated a Z statistic of -1.75. What is your p-value? And how
would you conclude if α = 5%?
P-value = 0.0401. H0 should be rejected at the 5% level
P-value = 0.0802. H0 should be rejected at the 5% level
P-value = 0.0802. H0 should not be rejected at the 5% level
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None of the above...

You wish to test the following claim ( H a ) at a significance
level of α = 0.01 . For the context of this problem, μ d = μ 2 − μ
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believe the population of difference scores is normally
distributed, but you do not know the...

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