4of5 3. What are the minimum, rst quartile, median, third quartile, maximum, interquartile range, and range of the data set below?l Make a box-and whisker plot. (15 points} 67, 82, 36, 38, 4, 42, 35, 27, 12, 17, 22 4. The amount of water consumed each day by a healthy adult has a mean of 1.4 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters: 1.5 1.6 1.5 1.4 1.9 1.4 1.3 1.9 1.8 1.7 At the 0.01 signicance level, can we conclude that water consumption has increased? {15 points) (a) State the null and alternate hypothesis. (1)) How many degrees of freedom are there? (c) Give the decision rule ((1) Compute the value of 1:. What is your decision regarding the null hypothesis? Free Response Section You Must Show Your Work to Earn Full Credit 1. A biology professor responds to some student questions by e-mails. The probability model below describes the number of e-mails that the professor may receive from students during the day. (20 points) E-mails, x Probability, P(X = x) 0.05 a) Find the probability that the professor received less than 4 e-mails in a day. b) What is the mean (expected) number of e-mails received each day? c) What is the variance and standard deviation of the e-mails received each day? 2. A statistics professor asked her students whether they were registered to vote. in a sample 0150 of her students, 35 said they were registered to vote. (15 points) (a) Estimate the value of the population proportion and the standard error. (1)) Develop a 95% condence interval for the population proportion. (13) Interpret your interval