Define a sample space for the experiment of putting in a random order seven differ- ent books on a shelf. If three of these seven books are a three-volume dictionary, describe the event that these volumes stand in increasing order side by side (i.e., volume I precedes volume II and volume II precedes volume III).
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Define a sample space for the experiment of putting in a random order seven differ- ent books on a shelf. If three of these seven books are a three-volume dictionary, describe the event that these volumes stand in increasing order side by side (i.e., volume I precedes volume II and volume II precedes volume III).
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- Two different blood pressure medicines are being compared to determine if the average reduction in blood pressure is the same for each medication. The goal of the study is to determine if the medications differ. Twenty men age 50-60 years old are selected for the study. Ten men are chosen at random to receive the first medication and the other 10 men receive the second medication. Each of the 20 men is monitored for one month to determine the change in blood pressure over that time. Minitab provides the 95% confidence interval for (mu1 - mu2) (2.63, 14.18) a. Interpret this 95% CI. b. What assumptions (be specific) are necessary to construct this CI?The numbers 1, 2, 3 and 4 are written separately on four slips of pane- The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experimentA task requires the completion of four activities. A teacher would like to know if differences in the sequence of the four activities results in different task completion times. The teacher selects three students and demonstrates the activities in random order to the students. Then each student completes the task with each of the activity sequences. The completion times are recorded. The following table shows the minutes for each student to complete each task. Assume that the populations from which the sample drawn are normally distributed. (use 2 digits after decimal point) Ayşe Sema Ahmet A 21 20.1 21.4 B 17.6 18.7 21.4 C 20 20.1 22.1 D 21.3 18.8 20.5 1. Complete the following analysis of variance table. Source of Variation SS Df MS F-Ratio Between Groups (Students) G Answer Answer Answer Answer Between Blocks (Activities) B 4.83 Answer Answer Answer Error 6.74 Answer Answer…
- Suppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell in her Etsy shop for $28.00 each. However, she is worried that if the average price of comparable scarves is less than $28.00, hers would be less likely to sell. Mairin selected a random sample of 9 similar hand‑knit, wool‑blend infinity scarves, and their prices are as follows. $21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00$21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00 Use a left‑tailed one‑sample ?t‑test to determine whether the average price of hand‑knit, wool‑blend infinity scarves sold on Etsy is less than $28.00. Assume that the prices of all comparable scarves are normally distributed. Mairin should (reject, accept, fail to accept) her null hypothesis. There is (sufficient, no, insufficient) evidence that the mean price of hand‑knit, wool‑blend infinity scarves is (greater than, different from, less than, equal two) $28.00.In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 80% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 625 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(P >0.84), which is the probability that more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 XExplain the difference between a stratified sample and a cluster sample. (Select all that apply.) In a stratified sample, random samples from each strata are included In a stratified sample, every sample of size n has an equal chance of being included. In a stratified sample, the clusters to be included are selected at random and then all members of each selected cluster are included In a cluster sample, every sample of size n has an equal chance of being included. In a stratified sample, the only samples possible are those including every kth item from the random starting position In a cluster sample, the only samples possible are those including every kth item from the random starting position In a cluster sample, the clusters to be included are selected at random and then all members of each selected cluster are included. In a cluster sample, random les from each strata are included.
- According to an article in a recently published medical journal, one-third of all sets of triplets consist of all females, one-fourth are all male sets, and the remaining sets are of mixed gender. A simple random sample of 78 sets of triplets born in the past 20 years is obtained from hospital records. The results are presented below. Gender make-up of triplets 1: All female 2: All male 3: Mixed gender Total 10 11 57 78 What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true? Group of answer choices H0: p1 = 1/3, p2 = 1/4, and p3 = 5/12, where p1, p2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively H0: p1 = p2 = p3 = 5/12, where p1, p2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively H0: p1 = 1/4, p2 = 1/4, and p3 = 5/12, where p1, p2, and p3 represent the proportions of all…Consider the sample space for making random guesses on a 3 question true/false exam. {TTT TTF TFT FTT FFT FTF TFF FFF} What is the probability that the list of random guesses will contain 2 "T" guesses and a single "F" guess?The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 9 2 5 4 6 6 2 7 6 10 8 8 9 7 9 9 9 9 10 9 10 10 10 9 9 10 6 8 10 5 7 10 9 5 9 6 9 860 4 3 6 2 7 10 7 9 9 9 Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places. 9
- How many simple random samples of 12 elements can be taken from a population containing 67 elements?According to an almanac, 60% of adult smokers started smoking before turning 18 years old. (a) If 300 adult smokers are randomly selected, how many would we expect to have started smoking before turning 18 years old? (b) Would it be unusual to observe 270 smokers who started smoking before turning 18 years old in a random sample of 300 adult smokers? Why?Please Just answer the last 3. I have already solved the first 3. Thank you.