one study of smokers who tried to quit smoking with nicotine path​ therapy, 38   were smoking one year after the​ treatment, and 32 were not smoking one year after the treatment. Use a 0.10 significance level to test the claim that among smokers who try to quit with nicotine patch​ therapy, the majority are smoking a year after the treatment. a. Define the parameter     A. mu   ​= The mean number of smokers who used the patch and were smoking a year after the treatment   B. mu   ​= The proportion of all smokers who used the patch and were smoking a year after the treatment   C. p​ = The proportion of all smokers who used the patch and were not smoking a year after the treatment   D. p​ = The proportion of all smokers who used the patch and were smoking a year after the treatment   b. State the null and alternative hypotheses     A. Upper H 0 : p equals 38    Upper H 1 : p less than 38     B. Upper H 0 : p equals 0.50 Upper H 1 : p greater than 0.50     C. Upper H 0 : mu not equals 0.50 Upper H 1 : mu equals 0.50     D. Upper H 0 : p greater than 0.50 Upper H 1 : p equals 0.50     c. Calculate the sample proportion ModifyingAbove p with caret . Which of these options is closest to ModifyingAbove p with caret ​?     A. 0.6366     B. 0.2553     C. 0.4165     D. 0.5429

Students in an experimental psychology class did research on depression as a sign of stress. A test was administered to a sample of 30 students. The scores are given. Complete parts (a) through (c) below. 32 54 11 15 35 21 OA. 158 34 15 55 51 11 35 2 1457 3 1234567 4123445566 511245666 34 33 46 OB. 11155 (a) Find the mean and median of the data. The mean is . (Round to three decimal places as needed.) 44 26 27 The median is .(Type an integer or a decimal.) (b) Draw a stem-and-leaf plot for the data using one row per stem. Which stem-and-leaf plot below shows the data? 2 112677 3 233445556 4 244666 5 1456 ... 21 42 38 OA. The distribution is symmetric. B. The distribution is skewed right (positively skewed). OC. The distribution is skewed left (negatively skewed). O D. The distribution is uniform. (c) Describe the shape of the distribution. Which description below best describes the shape of the distribution? 56 46 OC. 1112455668 2 14556 3 15 4 13457 5 223446667 46 27 33 35 22 44 36 0…

A hypertension trial is mounted, and 12 participants are randomly assigned to receive either a new medication or a placebo. Each participant takes the assigned medication, and the participants’ SBP is recorded after 6 months on the assigned medication. The data are shown in Table 7–9. Is there a difference in mean SBP between treatments? Run the appropriate test at a = 0.05. Placebo New Medication 134 114 143 117 148 121 142 124 150 122 160 128

5.28 Risks and insurance. The idea of insurance is that we all face risks that are unlikely but carry high cost. Think of a fire destroying your home. So we form a group to share the risk: we all pay a small amount, and the insurance policy pays a large amount to those few of us whose homes burn down. An insurance company looks at the records for millions of homeowners and sees that the mean loss from fire in a year is μ = $250 per house and that the standard deviation of the loss is σ = $1000. (The distribution of losses is extremely right-skewed: most people have $0 loss, but a few have large losses.) The company plans to sell fire insurance for $250 plus enough to cover its costs and profit. If the company sells 25,000 policies, what is the approximate probability that the average loss in a year will be greater than $270?