22. (14 points) Anna is interested in owning her own candy store. She will decorate it with humming bird decor and teach interested customers how to do X-square goodness-of-fit tests on candy colors. Anna is not sure whether she wants to start her business in Lincoln, Nebraska or in Estes Park, Colorado and decides to find a confidence interval for the difference in average start-up costs between the two places. The average start-up cost for = 35 candy stores in Lincoln was found to be 21=130 thousand with standard deviation $1=26.2 thousand. The average start-up cost for ng=35 candy stores in Estes Park was found to be T1 =250 thousand with standard deviation $2=35.7 thousand. Let Hi be the population mean forry and let Hy be the population mean for r9. Find a 95% confidence interval for 141 - 19. Interpret the meaning of the interval. For the following problems please provide the requested information. State the mull hypothesis, alternate hypothesis, and level of significance a. . Will you use a left-tailed, right-tailed, or two-tailed test? What are the degrees of freedom you will use? Compute the sample test statistic. . Find the P-value or an interval containing the P-value for this sample test. . Based on these answers, will you reject or fail to reject the null hypothesis? Interpret what your answer to the previous part means in the context of the particular problem you are considering, 23. (14 points) You wonder if there is an equal distribution of the various colors of Reese's Pieces and decide to perform a X-square goodness-of-fit test on a random selection of 999 candies. How many do you expect there will be of each color? You actually count 475 orange, 256 yellow, and 268 Reese's Pieces. Use a X-square goodness-of-fit test on this data with a =.01. 22. (14 points) Anna is interested in owning her own candy store. She will decorate it with humming bird decor and teach interested customers how to do X-square goodness-of-fit tests on candy colors. Anna is not sure whether she wants to start her business in Lincoln, Nebraska or in Estes Park, Colorado and decides to find a confidence interval for the difference in average start-up costs between the two places. The average start-up cost for = 35 candy stores in Lincoln was found to be 21=130 thousand with standard deviation $1=26.2 thousand. The average start-up cost for ng=35 candy stores in Estes Park was found to be T1 =250 thousand with standard deviation $2=35.7 thousand. Let Hi be the population mean forry and let Hy be the population mean for r9. Find a 95% confidence interval for 141 - 19. Interpret the meaning of the interval. For the following problems please provide the requested information. State the mull hypothesis, alternate hypothesis, and level of significance a. . Will you use a left-tailed, right-tailed, or two-tailed test? What are the degrees of freedom you will use? Compute the sample test statistic. . Find the P-value or an interval containing the P-value for this sample test. . Based on these answers, will you reject or fail to reject the null hypothesis? Interpret what your answer to the previous part means in the context of the particular problem you are considering, 23. (14 points) You wonder if there is an equal distribution of the various colors of Reese's Pieces and decide to perform a X-square goodness-of-fit test on a random selection of 999 candies. How many do you expect there will be of each color? You actually count 475 orange, 256 yellow, and 268 Reese's Pieces. Use a X-square goodness-of-fit test on this data with a =.01
