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- Classify the following statements as to whether they belong to the area ofdescriptive statistics or inferential statistics___________________ 1. At most 5% of SLU students are smokers.___________________ 2. Assuming that less than 20% of the Kalinga coffee beans weredestroyed by a typhoon these past months, we should expect anincrease of no more than P30 for a kilogram of coffee by the endof the year. ___________________ 3. An employee generalized that the average monthly salary of a regular employee in a certain company is P12,000. ___________________ 4. A study found out that all customers who have received a giftcertificate from a store 75% went back to the store to shop.___________________ 5. The average grade in statistics of 50 students is 83.60.is there is a main effect of disposition, would Tuckey's HSD need to be calculated2b. It is thought that 20% of Annual Tax returns to the Australian Tax Office (ATO) contain errors of one kind or another. An auditor in the ATO investigating the number of returns with errors in a particular industry takes a sample of 25 returns and classifies each return as being “in error” or “not in error”. i. If the variable X is used to represent the number of returns in the sample that are in error, and assuming this industry is no different to other industries in terms of the error rate, then state:• the values that X may take;• the distribution of this variable; and • the parameter/s of this distribution. ii. Determine the probability that 6 or less returns in this sample are in error. The auditor found that there were 13 tax returns with errors in this sample. iii. Determine the probability of finding 13 or more returns with errors if indeed the error rate was 20%. iv. Based upon your answer for part iii., what conclusion might the auditor make about this particular industry…
- According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. A) Verify that nP0(1-P0)>10 and n< 0.05N (Assume the population sizes is N=40 million) B) State the appropiate null and alternative hypotheses. C) Indicate whether the hypothesis is left, right, or two- tailed.According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. D) Compute the test statistic z0. Round to the nearest hundredth. E) Draw a normal model with the area that represents the P-value shaded. F) Determine and interpret the P-value. What is the conclusion of the hypothesis test?A manufacturer of exercise equipment knows that 15% of their products aredefective. They also know that only 35% of their customers will actually use the equipment in the first year after it is purchased. If there is a one-year warranty on the equipment, what proportion of the customers will actually make a valid warranty claim?
- suppose that from a sample of 200,000 new york workers, 32,400 reported traveling more than an hour an day. From this information, statisticians determined that about 16.2% of the workers in the state traveled more than an hou to work every day in 2011. If there were 8,437,512 workers in the entire population, about how many traveled more than an hour to work each day?Two car hire firms A and B have the following records of number of cars together with records of breakdown per car for the year 2015. The A firm claims that from the figures, its cars are more reliable. Test this claim at 5% level ofsignificance.A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of theprobability that the number landing face up will be less than 3 ?(A) For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3.(B) For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2.(C) For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.(D) For three rolls of the die, a number less than 3 will land face up one time.(E) It will take three rolls of the die before a number less than 3 lands face up for the first time.
- 1. What is meant when talking about balking with respect to queuing theory?A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations.a. If 15 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of at least one regulation?b. If there are 500 firms in the area, of which 150 are in violation, approximate the pmf of part (a) by a simpler pmf.c. For X = the number among the 10 visited that are in violation, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b).4.(a) The manufacturer of a certain voltmeter claims that 95% or more of its readings are within0.1% of the true value. In a sample of 500 readings, 470 were within 0.1% of the truevalue. Is there enough evidence to reject the claim?(b) A manufacturer of computer workstations is testing a new automated assembly process.The current process has a defect rate of 5%. In a sample of 400 worksations assembled bythe new process, 15 had defects. Can it be concluded that new process has a lower defectrate?