Descriptive Statistics: Boxplot 300 Group Sample Size Mean Std. Dev. Petting 7 232.0 61.7 200 Vocal Praise 7 67.6 102.5 Time Dog Interacts (sec.) Test Statistic: 100 Observed Difference Standard Error Test Statistic t 164.4 45.2 3.635 Potting Vocal Praise Hypothesis Test: Population Parameter Null Hypothesis Alternative Hypothesis Test Statistic t P-value Difference Us - Up 41 - 12= 0 HI - 1230 3.635 0.0017 1 Distribution with df = 12 Ho: Hi - Ha Ha: Hi > Hz. Test Statistic: t = 3,635, P.value = 0.0017 0.0903 0.0017 -2 1- 364(a, 3pts) Based on descriptive statistics table and one of the graphs of the data (boxplot, dotplot, or histogram), what can you say about the time dog interacts for petting and vocal praise? Do the two groups differ (1pt)? What are the two possible (statistical) explanations for the difference between the two groups (2pts)? (b, 4pts) Hypothesis testing Type of inference: significance test Options: click on assume equal standard deviations Alternative: greater Test the hypothesis that dogs interacts more with petting compared to verbal praise. State the Null and Alternative hypotheses (1pt), report a test statistic with degrees of freedom (1pt), note the p-value for this test (1pt). What do you conclude (1pt)? (c, 2pts) Confidence interval Type of inference: confidence interval 10 les Is the Null hypothesis part of the 95% confidence interval (1pt)? isp who Confidence interval is more general compared to hypothesis testing. hil In addition to where to reject or fair to reject the Null hypothesis, what hath 3,5 other information is provided by the confidence interval (1pts)