5) A hair salon completed a survey of 347 costumers about satisfaction with service (Dissatisfied, Neutral, Satisfied, or Very Satisfied) and type of costumer (Walk-in, Saw a TV-ad, or Referred). The results follow: Dissatisfied (D) Neutral (N) Satisfied (S) Very Satisfied (VS) Column Total Walk-in (WI) 21 21 26 31 99 b) Referred P (R) = TV Ad (TV) 7 22 41 35 105 Referred (R) 2 36 61 44 143 Row Total 30 79 128 110. 347 The table represents the entire population of costumers. Find the probability that a costumer is a) Dissatisfied P (D) = c) Dissatisfied and Walk-in P (D and WI) = d) Very Satisfied or Saw TV ad P (VS or TV) =
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- Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the probability of transmitting a 4-bit code word with (a) at most one error, and (b) exactly four errors.In a study of high school students at least 16 years of age, researchers obtained the survey results summarized in the table below (based on data from “Texting While Driving and Other Risk Motor Vehicle Behaviors Among U.S. High School Students” by O’Malley, Shults, and Eaton, Pediatrics, 131, No.6). Irregular Seat Belt Use? Yes No RT Texted While Driving 1737 2048 3785 Did not Text While Driving 1945 2775 4720 Column total 3682 4823 8505 State the null and alternative hypotheses. Null hypothesis: H0 Texting when driving is independent of irregular seat belt use. Alternative hypothesis: Texting when driving is dependent of irregular seat belt use. Assuming independence, what are the expected frequencies for each of these variables? E=(row total)(column total) (grand total) What is the value of the X2 statistic? X2=E(0-E)2…The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 642642 employed persons and 745745 unemployed persons are independently and randomly selected, and that 376376 of the employed persons and 300300 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2p2 ), who have registered to vote? Use a significance level of α=0.1α=0.1 for the test. Step 1 of 6: State the null and alternative hypotheses for the test. Step 2 of 6: Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6: Compute the weighted estimate of p, p‾‾p‾. Round your answer to three decimal places. Step 4 of 6: Compute the value of the test statistic. Round your answer to two decimal places. Step 5 of 6: Determine…
- A study was performed concerning medical emergencies on commercial airline flights. A database was constructed based on calls to a medical communications center from 5 domestic and international airlines representing approximately 15% of the global passenger flight volume from January 2005 to December 2007. There were 11,000 in flight medical emergencies (IFM) among 8,000,000 flights during the study period. Assume that there is at most 1 IFM per flight. Suppose a flight attendant works on 3 flights per day for each of 300 days per year. Also, assume that the flight attendant’s total duration of employment is 20 years. What is the approximate probability that he/she encounter at least 5 IFM’s over a 20 year period? (b) Suppose we observe 80 alcoholics with cirrhosis of the liver, of whom 25 have hepatomas, that is, liver cell carcinoma. Suppose we know, based on a large sample, that t`he risk of hepatoma among alcoholics without cirrhosis of the liver is 25%. What is the approximate…The Higher Education Research Institute at UCLA collected data from 203,967203,967 incoming first-time, full-time freshmen from 270270 four-year colleges and universities in the U.S. 67.4%67.4% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. Let the random variable X=X= the number that reply "yes", X∼B(8,0.674)X∼B8,0.674. (a) Construct the probability distribution function (PDF).Round your answers to four decimal places. xx P(x)Px 00 11 22 33 44 55 66 77 88 (b) On average (μμ), how many would you expect to answer yes?Round your answer to two decimal places.μ=μ= (c) What is the standard deviation (σσ)?Round your answer to two decimal places.σ=σ=3.) An advertising agency wants to know whether the no of column inches of classified ad carried by 2 competing newspapers is equal. The no of column inches appearing in both newspapers, respectively, on 20 randomly selected days follows: 663 & 725, 713 & 806, 626 & 620, 682 & 626, 639 & 595, 651 & 614, 769 & 744, 701 & 719, 723 & 680, 670 & 639, 665 & 602, 639 & 657, 694 & 624, 614 & 614, 651 & 583, 632 & 682, 739 & 657, 657 & 639 & 775 & 745. a.) Use signed-rank test at 0.01 level of sig to test to test whether or not newspaper 1 & 2 carry equal amount of classified ad. b.) A random sample of orders at an auto supply warehouse took 27, 41, 33, 44, 34, 22, 38, 23, 30, 37 & 32 minutes to assemble for shipment. Use the signed rank test at 0.05 level of sig to test whether or not it takes, on the average, 29 minutes to assemble an order for shipment.
- A study showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup. Only BA manufacturing company that produces laminate for countertops is interested in studying the relationship between the number of hours of training that an employee receives and the number of defects per countertop produced. Ten employees are randomly selected. The number of hours of training each employee has received is recorded and the number of defects on the most recent countertop produced is determined. The results are as follows. Hours of Training Defects per Countertop 1 5 4 1 7 0 3 3 2 5 2 4 5 1 5 2 1 8 6 2 Copy Data The estimated regression line and the standard error are given. Defects per Countertop=6.717822−1.004950(Hours of Training)se=1.229787se=1.229787 Suppose a new employee has had 5 hours of training. What would be the 90% prediction interval for the number of defects per countertop? Round your answer to two decimal places.The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 450450 employed persons and 477477 unemployed persons are independently and randomly selected, and that 291291 of the employed persons and 242242 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2p2 ), who have registered to vote? Use a significance level of α=0.05α=0.05 for the test. Step 3 of 6 : Compute the weighted estimate of p, p‾‾p‾. Round your answer to three decimal places. Please do steps 3-6
- The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 450450 employed persons and 477477 unemployed persons are independently and randomly selected, and that 291291 of the employed persons and 242242 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2p2 ), who have registered to vote? Use a significance level of α=0.05α=0.05 for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. I NEED ALL OF THE STEPS PLEASETo investigate whether it helps to have a "white-sounding" first name when looking for a job, the researchers sent 5,000 resumes in response to ads that appeared in magazines. The resumes were identical except that 2,500 of them had "white-sounding" first names, such as Brett and Emily, whereas the other 2,500 had "black-sounding" names such as Tamika and Rasheed. Resumes of the first type elicited 251 responses and resumes of the second type only 169 responses. A button hyperlink to the SALT program that reads: Use SALT. Do these data support the theory that the proportion receiving responses is greater for those resumes with "white-sounding first" names? (Use ? = 0.05. Use pwhite-sounding − pblack-sounding.) Find the test statistic. (Round your answer to two decimal places.) z = Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. Reject H0. We have convincing evidence that the proportion eliciting responses is higher for…The article “A ‘White’ Name Found to Help in Job Search” (AP, 1/15/03) described an experiment to investigate if it helps to have a white-sounding first name when looking for a job. Researchers sent 5000 resumes in response to ads that appeared in the Boston Globe and Chicago Tribune. The resumes were identical except the 2500 of them had “white-sounding” first names, such as Brett and Emily, whereas the other 2500 had “black-sounding” names such as Tamika and Rasheed. Resumes of the first type elicited 300 responses and resumes of the second type only 167 responses. Does this data support the theory that the proportion receiving positive responses is higher by more than 10% for those resumes with “white-sounding” first names? Use a significance level of .05.
