b. Compute the test st ic. Can you reject Ho at the a = 0.05 level ofsignificance?d. Can you reject Ho at thea = 0.01 level ofsignificance?8. Following is a sample of 10 matched pairs.s inSample 1 28 29Sample 2 34 3022 25262927 2427 2831 2631 30 31 322937Let H1andH represent the population means and letePd=11-am. A test will be made of the hypotheses Ho: H0versus H: ud 0.a. Compute the differences.b. Compute the test statistic.c. Can you reject Ho at the a = 0.05 level ofsignificance?d. Can you reject Ho at the a = 0.01 level ofsignificance?nt.beveWorking with the Concepts9. Crossover trial: A crossover trial is a type of experiment usedto compare two drugs. Subjects take one drug for a period of

Question
Asked Nov 26, 2019
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number 8 a, b, and c

b. Compute the test st i
c. Can you reject Ho at the a = 0.05 level of
significance?
d. Can you reject Ho at thea = 0.01 level of
significance?
8. Following is a sample of 10 matched pairs.
s in
Sample 1 28 29
Sample 2 34 30
22 25
26
29
27 24
27 28
31 26
31 30 31 32
29
37
Let H1
and
H represent the population means and let
e
Pd=11-am. A test will be made of the hypotheses Ho: H0
versus H: ud 0.
a. Compute the differences.
b. Compute the test statistic.
c. Can you reject Ho at the a = 0.05 level of
significance?
d. Can you reject Ho at the a = 0.01 level of
significance?
nt.
be
ve
Working with the Concepts
9. Crossover trial: A crossover trial is a type of experiment used
to compare two drugs. Subjects take one drug for a period of
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b. Compute the test st i c. Can you reject Ho at the a = 0.05 level of significance? d. Can you reject Ho at thea = 0.01 level of significance? 8. Following is a sample of 10 matched pairs. s in Sample 1 28 29 Sample 2 34 30 22 25 26 29 27 24 27 28 31 26 31 30 31 32 29 37 Let H1 and H represent the population means and let e Pd=11-am. A test will be made of the hypotheses Ho: H0 versus H: ud 0. a. Compute the differences. b. Compute the test statistic. c. Can you reject Ho at the a = 0.05 level of significance? d. Can you reject Ho at the a = 0.01 level of significance? nt. be ve Working with the Concepts 9. Crossover trial: A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of

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Expert Answer

Step 1

(a)

The difference is tabulated below:

Sample 1 Sample 2 Difference=Sample 1-Sample 2
28
34
-6
30
29
-1
22
31
-9
25
26
-1
31
-5
26
-1
29
30
27
31
-4
24
32
-8
27
29
-2
28
37
-9
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Sample 1 Sample 2 Difference=Sample 1-Sample 2 28 34 -6 30 29 -1 22 31 -9 25 26 -1 31 -5 26 -1 29 30 27 31 -4 24 32 -8 27 29 -2 28 37 -9

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Step 2

(b)

Step-by-step procedure to obtain the test statistic using MINITAB software:

  • Choose Stat > Basic Statistics > Paired t test for mean.
  • Choose Each sample in one column.
  • In Sample 1, Select Sample 1.
  • In Sample 2, Select Sample 2.
  • Choose Options.
  • In Confidence level, enter 95.
  • In Alternative, select Not equal.
  • Click OK in all the dialogue boxes.

Output obtained using MINITAB software is given below:

Paired T-Test and Cl: Sample 1, Sample 2
Descriptive Statistics
Sample N Mean StDev SE Mean
Sample 1 9 26.333 2.345
Sample 2 9 30.444 2.186
0.782
0.729
Estimation for Paired Difference
95% CI for
Mean StDev SE Mean difference
1.03 (-6.49, -1.73)
-4.11
3.10
dufference: mean of (Sample 1- Sample 2)
Test
Null hypothesis
Alternative hypothesis H:difference 0
Ho: 4_difference = o
T-Value P-Value
-3.98
0.004
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Paired T-Test and Cl: Sample 1, Sample 2 Descriptive Statistics Sample N Mean StDev SE Mean Sample 1 9 26.333 2.345 Sample 2 9 30.444 2.186 0.782 0.729 Estimation for Paired Difference 95% CI for Mean StDev SE Mean difference 1.03 (-6.49, -1.73) -4.11 3.10 dufference: mean of (Sample 1- Sample 2) Test Null hypothesis Alternative hypothesis H:difference 0 Ho: 4_difference = o T-Value P-Value -3.98 0.004

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Step 3

From the output, the test statistics is –3.98 and the p-value is 0.004...

If p-value significance level(a), reject the null hypothesis.
If p-value> significance level(a), do not reject the null hypothesis.
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If p-value significance level(a), reject the null hypothesis. If p-value> significance level(a), do not reject the null hypothesis.

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