An important part of the customer service responsibilities of a telephone compan

Question

An important part of the customer service responsibilities of a telephone company related to the speed with which troubles in residential service can be repaired. Suppose that past data indicate that 70% of repairs can be made the same day troubles are reported. a) Is this a binomial distribution? Justify your answer or NO CREDIT WILL BE GIVEN. b) Suppose 6 calls for service come in one morning. How many of those calls would you expect to be resolved with repairs the same day? Please show your work and don't round off, or no credit will be given. c) Suppose 6 calls for service come in one morning. What is the probability that exactly 2 of the calls lead to repairs the same day? The yearly cost of dental claims for the employees of a company is normally distributed (bell shaped) with an average of $150 and a standard deviation of $30 per employee. a) How low would the yearly claim for an employee have to be m order for the dollar amount lobe in the lowest 20% of claims? As always, please b) Suppose a simple random sample of 16 employees was selected. What is the probability that the sample mean claim from those 16 was $160 or more? c) Suppose you actually DID find that the average of the sample w as at least $160. What would you conclude? That is, does this provide sufficient evidence that claims are significantly higher than usual? As I keep saying in class, it is vital that you know what the symbols mean... otherwise it is impossible to plug numbers into formulas! Please indicate what each of these symbols stands for. I'm asking for a couple of words or a short phrase for each not a formula definition. mu X^bar pi Z p

Explanation / Answer

33)

All the below are completely right:

a. Mu - is the population mean parameter

b. Xbar - is the sample mean statistic

c. Pi - population proportion parameter

d. Z - z score , or the no. of deviations away from mean

e. p - sample statistic of proportion

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