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Question 1: Benford's Law is a probability rule frequently used by accounting auditors to detect systematic fraud. It states that approximately 11.3% of numbers will begin with the number 2. An auditor decides to investigate a particular firm further if a sample proportion of their invoices, with the invoiced number beginning with a 2, is in the highest 0.5% of all possible sample proportions. What sample proportion will cause further investigation of the firm if a random sample of 671 invoices is selected? Express your answer in decimal form (ie not as a percentage), correct to two decimal places.
Question 2: GIL internet services record customer usage patterns. Historically, they have found the duration of an internet session is normally distributed with an average duration of 78.5 minutes and a standard deviation of 23.4 minutes. What is the probability that a randomly selected session would last longer than two hours or less than thirty minutes? (4 decimal places)
Question 3: The average and standard deviation of the amount of Goods and Services Tax remitted by all performance artists in a twelve month period were $5.81 thous and $2.4 thous respectively. If a sample of 123 artists was taken, find the sample average value (in thous dollars) below which only 1% of taxes would lie.
question two fair dice one red and one green. are rolled. let the event a be the sum of the faces showing is equal to
Compute test statistic for sample data that you would use to test whether sample mean varies from population mean of 10 pounds at a 5 percent level of significance in two-tailed test.
Proportional to xi2, that is Var(εi)=σ2 xi2. Suppose that we use the transformation y'=y/x and x'=1/x. Is this a variance-stabilizing transformation?
The batteries in his calculator. What is the probability that all four batteries work? What are the mean and variance for the number of batteries that work?
please expalin how do you solve this problemwe expect that students who do well on the midterm exam in a course will
at a certain university the average attendance at basketball games has been 3100 spectators per game. due to the dismal
The famous Y. S. Chang Restaurant is open 24 hours a day. Waiters and busboys report for duty at 3 A.M., 7 A.M., 11 A.M., 3 P.M., 7 P.M., or 11 P.M., and each works an8-hour shift. The following table shows the minimum number of workers needed during..
The matrices A and B are symmetric and positive semidefinite of order n X n such that AB = BA. Show that AB is positive semidefinite.
The margin of error was reported at 3% for a 95% confidence interval. Give the 95% confidence interval for the percent of all American adults that say they are overweight.
1. Suppose a food scientist wanted to compare the "tastiness" of different variations of a cookie recipe. (a) Suggest several ways to quantify (measure) "tastiness", and discuss the advantages and disadvantages of each.
The probability that a bomber hits its target on any particular mission is .80. Four bombers are sent after the same target. What is the probability:- They all hit the target?- None hit the target?
In examining the ability of users to complete a variety of information-seeking tasks on their mobile devices, Nielsen Norman Group assigned sample mem- bers to get the answers to a variety of questions like, "How many calories are there typically ..
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