Answer Happy

(10 points) 4. Once data collected in class on how long (in seconds) it took for a chocolate chip to melt in your mouth and for a peanut butter chip to melt in your mouth. These are the differences in these times (chocolate minus peanut butter) for each person. The sorted data, and a dot plot, for the 31 differences appear below: difference in melt times (Choc -PB) in seconds 776 -41 -36 -35 -33 -31 -28 -25 -25 -20 -20 -17 -17 -16 -14 -11 -7 -6 -5 -4 -2 1 3 6 16 17 21 36 67 94% The mean of these 31 differences is -6.65 seconds, and the standard deviation is 23.61 seconds. po. : -32 -16 0 16 32 48 64 a (4 pts) Conduct the test of whether the sample data provide strong evidence that the difference in melting times of chocolate and peanut butter chips is not zero on average. Report the hypotheses, test statistic, and p-value as accurately as you can.

b. (2 pts) Determine and interpret a 95% confidence interval of the actual diference based on the 31 differences. c. (4 pts) Now suppose that you were to re-do this analysis after removing the outlier value of 67. Indicate how each of the following would change. Circle/Click and write your answers. Do not bother to explain or perform any calculations. Decrease Increase Remain the same Mean: Write your answer as well: Decrease Standard Deviation: Increase Remain the same Write your answer as well: Test Statistic: Decrease Increase Remain the same Write your answer as well: p-value Decrease Increase Remain the same Write your answer as well