A survey conducted about job satisfaction, showed that20% of workers are not happy with the current jobs. Assume that this result is true for the population of all workers. Two workers are selected at random and it is observed whether or not they are happy with their current jobs. () Draw a tree diagram showing all relevant outcomes andprobailities.
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- A research team is working on a project to study the time (in seconds) for high school male runners to finisha 400-meter race. Jimmy, a junior researcher in the team, has randomly selected a sample of 25 male runnersfrom a high school and the time (in seconds) for each of them to complete a 400-meter race was recorded.The sample mean running time was 53 seconds. It is assumed that the running time in a 400-meter racefollows a normal distribution with a population standard deviation of 5.5 seconds.(a) Give a point estimate of the population mean running time for a 400-meter race.(b) Calculate the sampling error at 95% confidence level.(c) Construct a 95% confidence interval estimate of the population mean running time for a 400-meter race. (d) If instead of 25, 80 male runners are selected for the study, what is the sampling error at 95% confidencelevel? When the 95% confidence interval is constructed based on a sample with 80 male runners, wouldyou expect the interval will be (I)…A new drug is released to market and it has been determined that the drug is responsible for causing hypertension among those individuals who take the drug. If 30,276 individuals were prescribed the drug in its first year on the market and 17,620 individuals developed hypertension, what is the point prevalence of hypertension among those individuals prescribed the drug, after the drug’s first year on the market?The accompanying table gives data from a survey of new car owners conducted by J.D. Power and Associates (USA TODAY, usatoday.com, March 29, 2016). For each brand of car sold in the United States, data on a quality rating (defects per 100 cars, so lower numbers indicate higher quality) and a customer satisfaction rating (called the APEAL rating) are given in the accompanying table. The APEAL rating is a score between O and 1000, with higher values indicating greater satisfaction. Brand Quality Rating APEAL Rating Acura 64 814 Audi 80 858 BMW 76 849 Buick 74 792 Cadillac 58 826 Chevrolet 64 791 Chrysler 58 783 Dodge 58 790 Fiat 38 768 Ford 66 789 GMC 60 791 Honda 71 783 Hyundai 70 804 Infiniti 63 826 Jeep 43 762 Kia 72 791 Land Rover 55 853 Lexus 76 844 Lincoln 65 835 Mazda 74 790 Mercedes-Benz 67 842 MINI…
- During the 2004 election year, new polling results were reported daily. In anIBD/TIPP poll of 910 adults, 503 respondents reported that they were optimistic aboutthe national outlook, and President Bush’s leadership index jumped 4.7 points to 55.3(Investor’s Business Daily, January 14, 2004). What is the sample proportion of respondents who are optimistic about thenational outlook? A campaign manager wants to claim that this poll indicates that the majority ofadults are optimistic about the national outlook. Construct a hypothesis test sothat rejection of the null hypothesis will permit the conclusion that the proportionoptimistic is greater than 50%. Use the polling data to compute the p-value for the hypothesis test in part (b).Explain to the manager what this p-value means about the level of significance ofthe results.cdn.student.une.exam.us.netdban3D18sessi.. E STAT-101_FEX_2021_2_ Male Choose the correct answer for the following question: A company claim that the proportion of workers those are satisfied with their jobs is more than 0.70. If, in randomly selected sample of 120 worken, 96 saying that they are satisfied with their jobs. The sample 27 - 30 62do -> a0.70, 0.96 b 0.70, 0.80 ce362do C 0.80,0.70 d. 0.96, 0.70 ce362dch017 ce362dcf9 ce3628c7s ce362dcf917 MacBook Pro ce362dcf917 ce362def9 00 O0Electric Engineer Co Ltd buys electrical components in batches of 2000. From time to time a batch is randomly selected and, for quality control purposes, all the components are inspected. The data gives the number of defective components found in 90 batches recently bought. 30, 17, 18, 20, 21, 25, 26, 27, 27, 28, 30, 30, 32, 32, 33, 34, 35, 37, 39, 40, 40, 41, 43, 43, 49, 44, 44, 48, 45, 43, 47, 48, 42, 47, 49, 45, 49, 50, 51, 52, 52, 57, 58, 50, 59, 56, 57, 52, 54, 58, 58, 59, 52, 67, 61, 68, 62, 69, 67, 68, 64, 65, 68, 77, 79, 79, 77, 73, 75, 77, 76, 71, 72, 79, 80, 81, 83, 82, 84, 88, 86, 89, 98, 92, 95, 99, 80, 25, 78, 45. (a) Construct a stem and leaf display for the number of defective components. (b) Using the stem and leaf, evaluate the median, lower quartile, upper quartile and the interquartile range of the given distribution. (c) Using graph paper, draw a box and whisker diagram to represent these data and comment on the shape of the distribution. (d) Form a grouped…
- ific Calculator Of30shg/ckivdfk1p00003g5tgeftOid1 Agroup of researchers in New York wants to test if there is any relationship between living in California and preferring warm weather to cold weather. The researchers send out an online questionnaire to 200 randomly chosen people in the US asking several questions including: "Do you live in California?" and "Do you prefer warm weather to cold weather?". The results are summarized in the table below: Prefers Warm Weather 80 Prefers Cold Weather 42 Lives in California Doesn't Live in California 35 43 Test the null hypothesis that the choices on these two questions are independent versus the alternative that they are dependent. What are the p-value and conclusion of this test if the test is performed at the alpha =0.1 level? %3D p-value = 0.0091; Fail to reject the null hypothesis %3D p-value = 0.0039; Reject the null hypothesis p-value = 0.0039; Fail to reject the null hypothesis p-value = 0.0911; Reject the null hypothesis NEXTA study considered risk factors for HIV infection amongintravenous drug users [11]. It found that 40% of users whohad ≤100 injections per month (light users) and 55% of users who had >100 injections per month (heavy users) wereHIV positive Is the distribution of the number of HIV positive amongthe 20 users binomial? Why or why not?Let's use SPSS to run a one-sample t-test! Imagine that you are interested in whether the number of hours students in a statistics course work each week differs from the average number of hours reported by the general student body at ASU. Thankfully, you have a data set that consists of information from students in a statistics course, including how many hours they work each week ("workhours"). You also happen to know that the average number of hours worked each week by the general student population at ASU is 25. Use the data provided to conduct a one sample t-test in SPSS comparing the sample data to the population mean.. The dependent variable for your test should be "workhours". Based on your output, the average number of hours worked each week by a sample is ________ . Enter your answer rounded to two decimal places (i.e., 10.01, not 10.1, not 10.0, not 10.010).
- In a statistics class, 10 scores were randomly selected with the following results were obtained: 74,73,77,77,71,68,65,77,67,66 What is the mode?A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in New York and Illinois. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of New York is greater than the mean annual income of childcare workers in Illinois. To see if this is true, the firm selected a random sample of 15 childcare workers from New York and an independent random sample of 15 childcare workers from Illinois and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars New York 44965, 34979. 54554, 45692. 52228, 54340, 56915, 42473, 46109. 37384, 50108, 47627, 42682, 52168, 61923 Illinois 34604. 50975, 39437, 47344, 40911, 48065, 31985, 33064, 50130. 49985, 47805, 51873, 42676. 47858, 40965| Send data to calculator Send data to Excel The population standard deviations for the annual incomes of childcare workers in New York and in Illinois are…