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State the null and alternative hypothesis (symbols, not words).   Using the results in the printout, is there a statistically significant difference between s12 and s22?  How do you know?  Describe in your own words what this means conceptually?  What do we do differently if there is a significant difference between s12 and s22?

State the null and alternative hypothesis (symbols, not words).   Using the results in the printout, is there a statistically significant difference between s12 and s22?  How do you know?  Describe in your own words what this means conceptually?  What do we do differently if there is a significant difference between s12 and s22?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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State the null and alternative hypothesis (symbols, not words).  

Using the results in the printout, is there a statistically significant difference between s12 and s22?  How do you know?  Describe in your own words what this means conceptually?  What do we do differently if there is a significant difference between s12 and s22?  
Report your obtained t score for the test of differences in means, and the obtained p value. 
 
Ally was interested in whether people felt more satisfied after going on vacation to Hawaii or Cancún. A sample of 20 people who went to Hawaii and 20 who went to Cancún were given a survey asking how satisfied they were after their vacation. The data were collected and saved in an SPSS data file. Satisfaction was measured on a 5-point scale, where higher scores indicated more satisfaction. Is there a significant difference in satisfaction for the two groups? Please analyze the data using a two-tailed test at the a = .05 level.
Transcribed Image Text:Ally was interested in whether people felt more satisfied after going on vacation to Hawaii or Cancún. A sample of 20 people who went to Hawaii and 20 who went to Cancún were given a survey asking how satisfied they were after their vacation. The data were collected and saved in an SPSS data file. Satisfaction was measured on a 5-point scale, where higher scores indicated more satisfaction. Is there a significant difference in satisfaction for the two groups? Please analyze the data using a two-tailed test at the a = .05 level.
Vacation Satisfaction Hawaii Cancun Group Statistics Satisfaction Cohen's d N 20 20 Satisfaction Equal variances assumed Equal variances not assumed Mean Std. Deviation 3.0500 1.31689 2.5000 1.27733 Hedges' correction Glass's delta F Levene's Test for Equality of Variances .035 CC Std. Error Mean Independent Samples Effect Sizes Sig. Standardizera Point Estimate 1.29726 .424 1.32359 .416 1.27733 .431 .29447 .28562 Independent Samples Test .852 t df 38 1.341 1.341 37.965 95% Confidence Interval Lower Upper -.206 -.202 -.209 1.048 1.027 1.060 Significance One-Sided p .094 .094 t-test for Equality of Means Two-Sided p .188 .188 Mean Difference .55000 .55000 Std. Error Difference .41023 .41023 95% Confidence Interval of the Difference Lower -.28047 -.28049 Upper 1.38047 1.38049
Transcribed Image Text:Vacation Satisfaction Hawaii Cancun Group Statistics Satisfaction Cohen's d N 20 20 Satisfaction Equal variances assumed Equal variances not assumed Mean Std. Deviation 3.0500 1.31689 2.5000 1.27733 Hedges' correction Glass's delta F Levene's Test for Equality of Variances .035 CC Std. Error Mean Independent Samples Effect Sizes Sig. Standardizera Point Estimate 1.29726 .424 1.32359 .416 1.27733 .431 .29447 .28562 Independent Samples Test .852 t df 38 1.341 1.341 37.965 95% Confidence Interval Lower Upper -.206 -.202 -.209 1.048 1.027 1.060 Significance One-Sided p .094 .094 t-test for Equality of Means Two-Sided p .188 .188 Mean Difference .55000 .55000 Std. Error Difference .41023 .41023 95% Confidence Interval of the Difference Lower -.28047 -.28049 Upper 1.38047 1.38049
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