1. Using Percentiles to Estimate Tea vs Coffee Immune Response A study was conducted to estimate the difference in mean immune response (as measured in the study) between tea drinkers and coffee drinkers. The data are given in Table 1 below and are available in ImmuneTea. Tea 5 48 Coffee 0 21 11 52 0 21 13 55 3 38 18 56 11 52 20 58 15 47 16 Table 1 Immune system response in tea and coffee drinkers (b) What quantity are we estimating? Give the correct notation. For this part, let group group be the participants who are tea drinkers and be the participants who are coffee drinkers. (c) Using StatKey (with 1000 samples) or other technology, construct a confidence interval. Round your answers to two decimal places. The confidence interval is IE (d) Using StatKey (with 1000 samples) or other technology, construct a confiden Round your answers to two decimal places. The confidence interval is (b) One waitress generally waits on tables in an average shift. QUESTION 2. Give a range for her expected daily tip revenue, using both confidence intervals. Round your answers to the nearest integer. Confidence level Confidence interval : : IE QUESTION 3. Daily Tip Revenue for a Waitress and Information from a sample of 157 restaurant bills collected at the First Crush bistro is available in RestaurantTips. Two intervals are given below for the average tip left at a restaurant; one is a 90 % confidence interval and one is a 99 % confidence interval. Interval A: 3.55 to 4.15 Interval B: 3.35 to 4.35 One waitress generally waits on 20 tables in an average shift. Give a range for her expected daily tip revenue, using both 90 % and 99 % confidence intervals. Round your answers to the nearest integer. Confidence level 90 % : 99 % : Confidence interval to to QUESTION 4. Table 1 shows the number of points scored and penalty minutes for ice hockey players on the Ottawa Senators NHL team for the 2009-2010 season. The data are also stored in OttawaSenators. Assume that we consider these players to be a sample of all NHL players. Points PenMi ns Points PenMi ns Points PenMi ns (a) Create a dotplot of the distribution of penalty minutes (PenMin) for the original sample of 24 players. Comment on the shape, paying particular attention to skewness and possible outliers. (b)Find the mean and standard deviation of the penalty minute values for the original sample. (c) Use StatKey or other technology to construct a bootstrap distribution for the mean penalty minutes for samples of size NHL players. Comment on the shape of this distribution, especially compared to the shape of the original sample. (d) Compute the standard deviation of the bootstrap means using the distribution in part (c). Compare this value to the standard deviation of the penalty minutes in the original sample. (e) Construct an interval estimate for the mean penalty minutes of NHL players. (f) Give a reason why it might not be reasonable to use the players on one team as a sample of all players in a league. QUESTION 5. In a study, scientists train dogs to smell cancer. Researchers collected breath and stool samples from patients with cancer as well as from healthy people. A trained dog was given five samples, randomly displayed, in each test, one from a patient with cancer and four from healthy volunteers. The results are displayed in Table 1. Breath Test Stool Test Total Dog selects cancer Dog does not select cancer Total Round your answer to three decimal places. The confidence interval is: ____ to ___