5. Your firm produces car oil-pan gaskets. The machine used typically produces 98% (.98) that are good, and 2% (.02) that are defective. Your quality control representative takes 400 samples per day. Today, the percentage of "good" gaskets is 97.5% (.975). His instructions are to close the plant down if his quality control test shows that the default rate is more than 2% with a significance level of 10%. If there is not evidence at that significance level he is to let the plant continue operations. Do the hypothesis test to determine if he should shut the plant down.
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- which of the following individuals is likely to be excluded from a clinical trial? a-individual with other diseases besides the disease of interest b-an individual whose data is considered to be an outlier c-an individual of who is considered to be a minority d-an individual who will have difficulty complying trial protocols.In a Denver community, 50 cases of diabetes were reported among 15-19 years old out of a total population of 46,000 between September 1 to December 31, 2016. Ten percent (4,600) of the population were between 15-19 years old on April 1, 2016 and the size and age distribution of the population has remained constant. An investigation of the cases in the 15-19-year age group revealed that 22 of the reported cases were contracted prior to September 1. In addition, another 18 cases developed in April and May but were clinically resolved before September 1. What was the cumulative incidence rate of disease in 15-19 year olds per 1,000 population in this Denver community during the period September 1 to December 31, 2016?a) Is the dealer's mean significantly greater than the national average of 30,043 miles for 2-year leases? Using the 10 percent level of significance, choose the appropriate hypothesis. H0: μ ≤ 30,043 miles vs. H1: μ > 30,043 miles, reject H0 if tcalc > 1.3250 H0: μ ≥ 30,043 miles vs. H1: μ > 30,043 miles, reject H0 if tcalc > 1.3250 H0: μ ≤ 30,043 miles vs. H1: μ < 30,043 miles, reject H0 if tcalc > 1.3250 H1: μ ≤ 30,043 miles vs. H0: μ > 30,043 miles, reject H0 if tcalc > 1.3250 d a b c (b) Calculate the test statistic. (Round your answer to 2 decimal places.) Test statistic ________ (c) The dealer's cars show a significantly greater mean number of miles than the national average at the 10 percent level. No Yes
- 2.1 The operations manager of a motor vehicle accessories firm with branches in Limpopo and Durban wants to establish whether their Limpopo branch is performing better than their Durban branch in terms of the average size of orders received. Both branches have been operating for only one year. A random sample of 31 orders from the Limpopo branch had an average value of R355.20 with a standard deviation equal to R151.50. Orders received by the Durban branch of the firm were also randomly sampled. The average of the 35 orders sampled was R265.60 with a sample standard deviation of R162.20. Can the operations manager conclude, at the 3% significance level, that the Limpopo branch is performing better than the Durban branch? Show the null and alternative hypotheses for the test and draw the appropriate conclusion. Compute the p-value.29. Six months before its annual convention, the American Medical Association must determine how manyrooms to reserve. At this time, the AMA can reserverooms at a cost of $150 per room. The AMA believesthe number of doctors attending the convention willbe normally distributed with a mean of 5000 and astandard deviation of 1000. If the number of peopleattending the convention exceeds the number of roomsreserved, extra rooms must be reserved at a cost of$250 per room.a. Use simulation with @RISK to determine the number of rooms that should be reserved to minimizethe expected cost to the AMA. Try possible valuesfrom 4100 to 4900 in increments of 100.b. Redo part a for the case where the number attending has a triangular distribution with minimumvalue 2000, maximum value 7000, and most likelyvalue 5000. Does this change the substantiveresults from part a?write out the null and alternative hypothesis and the distribution of the test statistic used to address these questions. 1.) Do a majority of engines last 300000 miles? 2 .) Is the variability in trading price of Fund A similar to that of the Fund B? 3.) Are casino customer earnings in Vegas atleast as much as those of New Jersey? 4.) The mean consumption of water per household in a city was 1245 cubic feet last month. Due to a water shortage, the city council campaigned for water use conservation by households. Based solely on sample data, was the campaign successful?
- 3. As the director of the local Boys Club, you have claimed for years that membership in your club reduces juvenile delinquency. Now a cynical member of your funding agency has demanded proof of your claim. Random samples of members and non-members are gathered and interviewed with respect to their involvement in delinquent activities. Each respondent is asked to enumerate the number of delinquent acts they engaged in over the last year. The average numbers of admitted acts of delinquency are reported below. What can you tell the funding agency? MEMBERS NON-MEMBERSmean=10.3 mean=12.3s=2.7 s=4.2N=50 N=551. Sarah wants to know how gender impacts heart rate recovery after a maximal exercise test. In order to test this, she has both male and female athletes come into her lab and she measures both resting heart rate before the exercise test and heart rate immediately, 10 minutes, 20 minutes and 30 minutes following the exercise test. In order for her to determine whether heart rate differs pre-post exercise between males and females what statistical test might she use? 2. Dahlia is interested in how depression impacts willingness to exercise and go to the gym. In order to do this, she has to have a large sample size, so she decides to send out a survey to all college students at SUNY Cortland. Once she receives 80% of the surveys back from the students she begins to record the data. Because of the responses to her questionnaires, she will not have normally distributed data. In this case, what might be the best statistical test to use to determine whether going to the gym/willingness…