Distribution, sampling ,and statistical inference

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2
Please answer all questions based on the data provided below and ‘Dataset1’. If you cannot answer the question due to
‘NA’. Do not change the formatting of the yellow cells. Round to four digits after decimal.
Sophie Johnson, CFO of Neonte, suspects irregularities in the payroll system, and orders an inspection of a random sa
year. A sample of ten vouchers is randomly selected, without replacement, from the population of 1800 vouchers. Ea
1)
examined for errors and the number of vouchers in the sample with errors is denoted by x. If 17% of the population o
= 0) is:
answer
2)
During a recent sporting event, a quarter is tossed to determine which team picks the starting side. Suppose the refer
tossed 5 times and the best 3 out of five wins. If team A calls ‘heads’, what is the probability that exactly 3 heads are
answer
3) If x is a binomial random variable with n=11 and p=0.7, what is the probability that x is equal to 4?
answer
4)
Suppose that the number of calls coming per minute into an hotel reservation center follows a Poisson distribution. A
calls per minute. Determine the probability that at least two calls are received in a given two-minute period.
answer
5)
If x, the time (in minutes) to complete an change job at certain auto service station, is uniformly distributed over the
probability that an oil change job is completed in 33 to 35 minutes is:
answer
6) Let z be a normal random variable with mean 0 and standard deviation 1. What is P(z < -1.5)? answer A carload of steel rods has arrived at BlueCon LLC. The car contains 50,000 rods. Ruby Brown, manager of Quality Ass 7) measure the lengths of 98 randomly selected rods. If the population of rods have a mean length of 120 inches and a s inch, the probability that the sample has a mean less than 119.985 inches is: answer you cannot answer the question due to insufficient data, enter decimal. and orders an inspection of a random sample of vouchers issued last rom the population of 1800 vouchers. Each voucher in the sample is denoted by x. If 17% of the population of vouchers contain errors, P(x picks the starting side. Suppose the referee says the coin will be the probability that exactly 3 heads are observed in five tosses? y that x is equal to 4? n center follows a Poisson distribution. Assume that the mean is 1.7 d in a given two-minute period. tation, is uniformly distributed over the interval 20 to 55, then the hat is P(z < -1.5)? ds. Ruby Brown, manager of Quality Assurance, directs her crew have a mean length of 120 inches and a standard deviation of 0.12 Dataset1 No additional data Please answer all questions based on the data provided below and 'Dataset2'. If you cannot answer the question due to formatting of the yellow cells. Round to four digits after decimal. 1) A large industrial firm allows a discount on any invoice that is paid within 30 days. Of all invoices, 29% receive the dis mean (average) value of the number of the 15 sampled invoices that receive discount is: answer 2) Sunday evening, customers arrive at the fast food drive thru at the rate of 6 cars per fifteen minute interval. Determi minute interval. Assume a Poisson distribution. answer Suppose that during a given week, 20 new customers have signed up for a specialized service your company provides 3) and the remaining twelve are automotive firms. If a random sample of 6 of these new customers will be selected for probability that 4 of the selected customers are financial services firms? answer 4) Canterbury Tire LLC has established that the useful life of a particular brand of its automobile tires is normally distrib miles. What is the probability that a randomly selected tire of this brand has a life of at least 50,000 miles? answer 5) At a certain workstation in an assembly line, the time required to assemble a component is exponentially distributed component is assembled in 7 minutes or less. answer 6) Suppose the population of college dataset shows the annual parking fee per student is $111 with a standard deviation population, the probability of drawing a sample with a sample mean between $100 and $115 is: answer 7) Suppose the salaries of Starbucks employees are normally distributed with a mean of $32,000 standard deviation of $ probability that the sample mean salary will exceed $35,000. answer you cannot answer the question due to insufficient data, enter 'NA'. Do not change the days. Of all invoices, 29% receive the discount. In a company audit, 15 invoices are sampled at random. The discount is: cars per fifteen minute interval. Determine the probability that five cars will arrive during the next five ecialized service your company provides. Eight of these new customers are financial services companies, hese new customers will be selected for a study of customer satisfaction in one month, what is the of its automobile tires is normally distributed with a mean of 44000 miles and a standard deviation of 7800 a life of at least 50,000 miles? component is exponentially distributed with a mean time of 10 minutes. Find the probability that a student is $111 with a standard deviation of $19. If a random sample of size 49 is drawn from the n $100 and $115 is: mean of $32,000 standard deviation of $9400. Suppose we take samples of size 19 employees. Find the Dataset2 No additional data