Hi, I\'m stuck on this question for my stats homework. Can you please help?!? Th

Question

Hi, I'm stuck on this question for my stats homework. Can you please help?!?

This is the data.

9

Calculate appropriate measures of central tendency and variability for each variable you will need in this assignment, i.e., “before” and/or “after” pain scores for each group. Justify your choices.

The researchers anticipated that Magnet Treatment Group pain scores would be lower than Placebo Group pain scores at the end of the study. Write the null hypothesis, in prose and notation. (Pay close attention to the word “lower” in this exercise. Remember that lower scores indicate less pain and, thus, effectiveness of the magnets. What does this suggest for how the hypotheses are stated and for how the t distribution diagram is drawn?)

a.Is the null hypothesis stated above one-tailed or two-tailed?Justify your answer.

b.What type of test should be used to test the null hypothesis stated?Justify your answer.

The researchers wanted to know whether there was a difference in average pain levels for the Magnet Treatment Group and the Placebo Group at the beginning of the experiment. Why would it be reasonable and desirable to show that there were no differences?

a.Write the null and alternate hypotheses, in prose and notation.

b.Is the null hypothesis one-tailed or two-tailed?Justify your answer.

c.What conclusions would you draw if the null hypothesis were rejected?

d.What type of t test should be used to test the hypothesis?Justify your answer.

INTD 5064/OCCT 5023 - Applied Statistics for Health Care Practitioners Magnets and Pain Relief Data Set Magnet Treatment Group Placebo Group Subject Before After Subject Before After AM 10 10 LL 8 4 AA 10 4 LM 10 7 BC 8 7 MD 10 5 BR 10 0 MN 10 8 CM 10 4 JJ 9 8 FW 10 2 JA 10 6 GM 10 5 CR 9 8 GD 10 5 WT 10 10 HB 9 3 GJ 10 10 MG 10 10 BD 7 6 PD 9 2 EG 10 10 RW 10 2 RB 8 8 SF 10 3 DO 10 10 TS 10 4 DS 10 10 WA 10 10 NP 10 10 SH 8 4 GE 10 10 WK 10 3 DY 9 9 MR 10 0 KU 10 9 MS 8 2 UT 10 10 AR 8 7 AX 10 10 TN 10 4 PW 10

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Explanation / Answer

Mean and standard deviation is appropriate measures for given data because given data is of discreate type.

9.5238

Null hypothesis: There is no significant difference in before and after pain score.

Alternative hypothesis: Magnet Treatment Group pain scores lower than Placebo Group pain scores.

Before and after mean score can be checked using Paired t - test is usefull for testing the null hypothesis

The alternative is one tailed test because we want to test mean pain score before treatment is larger than after treatment.

Using Excel we can perform this test. Use following instructions

click Data -> data analysis tool -> t-test: Paired Two Sample for Means

Output

p value for one tailed test is <0.05 (level of significance)

Therefore reject null hypothesis i. e. Magnet Treatment Group pain scores lower than Placebo Group pain scores.

Mean standard deviation Before

9.5238

0.8334 After 6.3809 3.2078

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