Question

II. A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are given in the accompanying table. The values are before and after hypnosis; the measurements are in centimeters on a pain scale. At the 0.05 significance level, test the claim that the sensory measurements are lower after hypnotism. Assume that the differences is a random sample from a normal population. Subject A B C D E F G H Before 6,6 6.5 9.0 10.3 11. 3 8 . 1 6 .3 11.6 After 6. 82. 47.4 8.5 8. 16 . 1 3 .4 2.0 SPSS TIPS: Enter data in two columns Analyze Compare Means Paired-Samples T Test Click on variable 'before' and then variable 'after (Variables will show on the bottom of the variables list under Current Selections) Click on the arrow (Variables will move to the right space under Pared Variables as before-after) OK III. Samples of men and women are randomly selected, and their heights are accurately measured with the results in inches) listed below. Assuming that the heights of men and women have equal variances and are from independent normal populations, use a 0.01 significance level to test the claim that men and women have the same height Men: 73.0 71.6 68.7 65.9 70.4 64.6 Women: 63.9 67.1 63.2 64.7 60.2 SPSS TIPS: Enter data in one column (men heights then women heights), you may call it "height' In a separate column, you may call it group', in that column type 1 for the 'men' row and 2 for the 'women' row. Analyze Compare Means Independent Samples T Test Move Variables ("height' variable under Test Variable and group' variable under Grouping Variable) Define Groups Type 1 for Group 1 and Type 2 for Group 2 Continue OK

Answer 1

II)

Claim: The sensory measurements are lower after hypnotism.

The null and alternative hypothesis is

HO : μα = 0

H1 : μα <0

Level of significance = 0.05

SPSS output:

х *Output1 [Document1] - IBM SPSS Statistics Viewer Direct Marketing Graphs Utilities Add-ons Window Help File Edit View Data Transform Insert Format Analyze T-TEST PAIRSVAR00001 WITH VARO0002 (PAIRED) CRITERIA=CI (-9500) /MISSING=ANALYSIS. -- & Output PÔLog ÉE T-Test Title " Notes Active Dataset Paired Samples Paired Samples Paired Samples T → T-Test [DataSeto] Paired Samples Statistics Pair 1 VAR00001 VAR00002 Mean 8.7125 5.5875 Std. Deviation 2.17744 2.60847 Std. Error Mean .76984 .92223 Paired Samples Correlations N Correlation | VAR00001 & VAR00002 8 2 70 Sig. 518 Pair 1 Paired Samples Test Paired Differences 95% Confidence Interval of the Std. Error Difference Mean Lower Upper 1.02935 .69098 5.55902 df Mean 3.12500 Std. Deviation 2.91143 t 3.036 Sig. (2-tailed) .019 Pair 1 VAR00001 - VAR00002 7 Activate Windows Go to PC settings to activate Windows. IBM SPSS Statistics Processor is ready 10:46 PM • QD0% " 9 10 11/17/2019

We get

Test statistic = t = 3.036

Df = 7

P-value = 0.019/2 = 0.0095

P-value < 0.05 we reject null hypothesis.

Conclusion:

The sensory measurements are lower after hypnotism.

---------------------------------------------------------------------------------------