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- There are 90 drill bits in a box at a machine shop. Fifty of the drill bits are 3/8-inch diameter,and the rest are 7/16-inch diameter. If four drill bits are selected at random, what is theprobability that two drill bits of 3/8-inch diameter and two drill bits of 7/16-inch diameter willbe chosen?There are 4 branches of a local bank. Last year, branches A, B, C and D handled 28%, 22%, 19% and 31% of all transactions, respectively. A new shopping mall has recently opened, and the vice president of the bank wants to see if this opening has produced any changes in the distribution of transactions. The transactions for a week, selected at random after the opening of the new mall, are:Branch A B C D TotalTransactions 683 648 427 732 2490Test, at α = 0.01, whether the distribution of transactions has changed after the opening of the new mall.(a)Write down the null and alternative hypotheses.(b)Check the necessary conditions for carrying out the hypothesis testing.(c)Give the rejection region.(d)Find the observed test statistic.(e)Give the decision and final conclusionThe city of Raleigh has 9200 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 80 said they'd vote for Brown, 158 said they'd vote for Feliz, and 12 were undecided.Describe the population actually represented by this survey
- The city of Raleigh has 9100 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 400 randomly selected registered voters was conducted. 207 said they'd vote for Brown, 170 said they'd vote for Feliz, and 23 were undecided. Which of the following correctly describes the survey? population—voters surveyed, sample size is 400 population—voters surveyed, sample size is 9100 population—registered voters, sample size 9100 population—registered voters, sample size is 400The executives of an accounting firm plan to survey a random sample of clients to determine how satisfied they are with the service they have received. Of the firm's 5412 regular clients, 500 are surveyed and 435 claim to be very satisfied with the service they have received. The sample is the: 5412 regular clients. 500 clients surveyed. 65 clients that were not satisfied. 435 satisfied clients.From the U.S. Census Bureau’s American Community Survey in 2019 it was found that 33.13%of United States residents over the age of 25 had an educational attainment of a bachelor’sdegree or higher. In the District of Columbia, the percentage of residents over the age of 25 whohad attained a bachelor’s degree or higher was 59.67%. An investigator for the U.S. CensusBureau took a random sample of seven residents from the District of Columbia and asked themtheir highest educational degree they had obtained. a) Verify that the sample from the District of Columbia satisfies the conditions of thebinomial experiment. Write one sentence to check each requirement in context of theinvestigation.b) Assuming the sample from the District of Columbia is a binomial experiment, build theprobability distribution in a single table and include the table in your solutions. You maypresent this table horizontally or vertically and leave the probabilities unrounded. Thereare two possible ways to do this: To…
- The city of Raleigh has 7200 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 119 said they'd vote for Brown, 76 said they'd vote for Feliz, and 5 were undecided. This sample statistic suggests that we might expect of the 7200 registered voters to vote for Brown.to survey clients at a massage-therapy spa, the researcher alphabetically lists all of the customers the spa had last month. the researcher sends a survey to the 13th person on the list (with the number 13 being randomly chosen). then surveys every 20th customer after that. which sampling method was used?A U.S. Census finds that 58.5% of women areemployed. A county commissioner thinks thata larger proportion of women in his county areemployed. He surveys 1000 randomly selectedwomen and finds that 622 are employed. UseNATDRC to test his claim.
- There is money to send three of nine city council members to a conference in Honolulu. All want to go, so they decide to choose the members to go to the conference by a random process. How many different combinations of three council members can be selected from the nine who want to go to the conference?For its "music 360 "survey, nielsen co asked teenagers and adults how each group has listened to music in the past 12 months. Nearly two thirds of U.s teenagers under the age of 18 say they use google inc's video sharing site to listen to music and 35% of the teenagers said they use pandora media Inc's custom online radio service( the wall street journal, august 14, 2012). Suppose 10 teenagers are selected randomly to be interviewed about how they listen to music.a. is randomly selecting 10 teenagers and asking whether or not they use pandora media inc's online service a binomial experiment?b. what is the probability that none of the 10 teenagers use pandora media inc, online radio service?c. what is the proabbility that 4 out of the 10 teenagers use pandora media inc online radio service?d. what is the probability that at least 2 of the 10 use pandora media online radio service?The qualified applicant pool for two management trainee positions consists of four men andsix women. If the applicants are equally qualified and the trainee positions are selected bydrawing the names at random so that all groups of two are equally likely, what is theprobability that the trainee class will consist entirely of men? Round your answer to thenearest thousandth. Group of answer choices 0.044 0.178 0.133 0.022 none of these choices
