4. In a 2012 election, an exit poll of 100 voters produced the voting results: Men (M) | Women (W) Mr. Bob (B) Ms. Kim (K) 25 21 25 29 Illustrate the data on a Venn diagram and find the following numbers. (a) n(BN M) (b) n(BN M') (c) n(B'n M) (d) n(B'n M')

4. In a 2012 election, an exit poll of 100 voters produced the voting results: Men (M) | Women (W) Mr. Bob (B) Ms. Kim (K) 25 21 25 29 Illustrate the data on a Venn diagram and find the following numbers. (a) n(BN M) (b) n(BN M') (c) n(B'n M) (d) n(B'n M')

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 16E

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From time to time, the UTM Human Resource (UTMHR) department observes various employees fortheir work productivity. Recently UTMHR wanted to check whether the four employees at theDepartment XYZ counters, serve on average the same number of customers per hour. The HR managerobserved each of the four employees for a certain number of hours. The following Table 5 gives thenumber of customers served by the four employees during each of the observed hours. employee a employee b employee c employee d 19 14 11 24 21 16 14 19 26 14 21 21 24 13 13 26 18 17 16 20 employee a employee b employee c employee d mean 21.6 14.8 15.0 22.0 s 3.4 ? 3.8 ? c) Find variance between sample,d) Find variance within sample, e) Calculate the test statistic, F.f) Determine the numerator and denominator.g) Find the critical value of F at the 5% significance level, and test the claim that the mean numberof customers served per hour by each of these four employees is…
From time to time, the UTM Human Resource (UTMHR) department observes various employees fortheir work productivity. Recently UTMHR wanted to check whether the four employees at theDepartment XYZ counters, serve on average the same number of customers per hour. The HR managerobserved each of the four employees for a certain number of hours. The following Table 5 gives thenumber of customers served by the four employees during each of the observed hours. employee a employee b employee c employee d 19 14 11 24 21 16 14 19 26 14 21 21 24 13 13 26 18 17 16 20 a) Define the hypothesis null, H0 and hypothesis alternative, H1.b) Given below are means and standard deviation for some of the employees. Calculate thestandard deviation for Employee B and D.
At a certain school 60 of the 100 boys and 60 of the 80 girls signed up for the senior trip. Is there an associa-tion between going on the trip and gender? A) We can’t tell, because the class doesn’t have the samenumber of boys and girls.B) Yes, because the same number of boys and girlssigned up.C) Yes, because a lower percentage of boys signed upthan of girls.D) No, because the people on the trip were 50% boysand 50% girls.E) No, because the sign-up rate was higher among girlsthan among boys.
A manufacturer of “Keep it Warm” bags is interested in comparing the heat retention of bagswhen used at five different temperatures (100 oF, 125 oF, 150 oF, 175 oF, and 200 oF). Thirty bagsare selected randomly from last week’s production and randomly assigned, six each, to fivedifferent groups. Items from group 1 at beginning temperature 100 oF were kept in bags for anhour, and the temperatures of those items were recorded after an hour. Similarly, groups 2 to 5were assigned items at 125 oF, 150 oF, 175 oF, and 200 oF, respectively.a. Identify the type of study used here.b. What type of inference is possible from this study?
Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?
Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?
a researcher examined a number of monthly meetings (2 or 4) on job satisfaction. if the t obtained for a correlated groups t-test was 2.50, df=3, and the t critical = 3.182, what s/he conclude?
In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 40 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 40-minute interval) one otter initiates social grooming of another. Lambda = 6.8 (b) Find the probabilities that in your 40 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) =
In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) What is ?? b) Write out the formula for the probability distribution of the random variable r. P(r) = _________ c) Find the probability that one otter will initiate social grooming four or more times during the 30-minute observation period. (Round your answer to four decimal places.)
In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) Find the probabilities that in your 30 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) = b) Find the probability that one otter will initiate social grooming less than four times during the 30-minute observation period. (Round your answer…
2. Suppose we want to test whether Canadiansand American viewers have the same reaction to acertain documentary film. A random sample of 6Canadians and 7 American viewers werecollected. Each are asked to watch and then ratethe film, from 1 (most negatively), to 10 (mostpositively). The data are shown on theaccompanying table:Canadians 2 10 1 4 6 1Americans 4 7 7 5 5 3 8a. Explain why we cannot test for the equality of means. That is, we cannot test Ho: Average rating among Canadians is equal to average rating among Americans. b. Use Wilcoxon Rank Sum procedure to test whether Canadians and Americans tend to rate the film similarly. Include the test statistic. State your conclusion in the context of the problem. Use the 10% significance level. c. Use Normal distribution to approximate the p-value. Would you recommend using it to carry out the test instead of the table?
Two groups of students are given a problem-solving test, and the results are compared. Group 1 Group 2 1 = 83.6 = 79.2 s1=4.1 s2=3.9 n1=36 n2=36 At α= 0.01, can it conclude that there is a significan difference in means of two groups? Explain with the 5 steps of hypothesis-testing.