Statistics Examination Paper

08 ETHE AUSTRALIAN NATIONWIDE UNIVERSITY

UNIVERSITY OF FUND AND UTILIZED STATISTICS

Initial Semester Examination 2010

QUANTITATIVE RESEARCH METHODS

(STAT1008)

Composing Period: several hours period

Study Period: 15 minutes duration

Permitted Material: Non-programmable calculator, dictionary and 1 A4 page with notes upon both sides

Instructions to Candidates:

• Strive ALL questions.

• Each problem is of similar mark benefit.

• Start your way to each query on a fresh page.

• To ensure complete marks display all the measures in working out the solution. Marks may be subtracted for inability to show ideal calculations or formulae.

• Unless in any other case stated, use a significance standard of 5%. • Selected statistical tables are attached to the back of the examination paper.

Site 1 of 9

Issue 1 (25 marks)

Many organisations have invested in automated customer-service systems to get phone calls, mainly because the expense of a phone call passed on to a live agent is approximately ten times regarding a call answered by an automated program. However , many customers detest automated systems, and will choose the first provided option to speak with a live person, for example , important " 0” at the " Press 0 to speak with a customer service representative”. Research demonstrates approximately 40% of callers to computerized systems will certainly automatically choose to speak to a live owner when given the chance.

Suppose 10 self-employed callers get in touch with an automated customer service system. (a) (3 marks) What type of randomly variable is a number of callers who automatically opt to talk to a live operator? Provide the appropriate guidelines of the random variable.

(b) (1 mark) What is the probability that none of which automatically opts to talk to a live operator?

(c) (1 mark) What is the chance that 3 or perhaps fewer is going to automatically prefer to talk to a live agent?

(d) (2 marks) What is the chance that exactly several will immediately opt to talk to a live operator?

(e) (4 marks) What is the expected amount who will quickly opt to speak to a live operator? What is the standard change of the amount who will immediately opt to talk to a live operator?

(f) (4 marks) In a distinct study, 80 random callers were tracked, and it absolutely was found that 45 quickly opted to schedule an appointment a live operator. Utilizing a confidence interval, determine if what he claims of 40% above can be supported by this kind of data, having a 5% relevance.

Another adjustable of interest is a length of time people wait on hold prior to speaking with a great operator. For just one particular call centre, it can be known that the length of time about hold can be described as uniformly given away variable with minimum eighty-five seconds, and expected benefit of one hundred twenty seconds.

(g) (3 marks) Write an equation and draw a graph which represents the division of the time period on hold.

(h) (3 marks) What is the standard deviation of the time period on carry? (i) (4 marks) The time on keep is registered for eighty separate callers to the phone centre, plus the average determined. Find the probability that the average length of call is longer than 130 secs.

STAT1008 Quantitative Research Methods Final Evaluation Semester one particular, 2010 Site 2 of 9

Issue 2 (25 marks)

A hectic Sydney car yard has records of selling overall performance of sales agents employed in the yard. After having a particularly difficult selling month, the supervisor wishes to analyse personnel performance to determine which features, if any, could be accustomed to predict the number of sales manufactured in the previous month. The predictor variables to be used are the years of knowledge selling cars of the salesperson, and the number of different types of products the sales rep has bought from the past.

Scatterplots are shown below from the response changing (number of sales produced last month) against all the predictors, pertaining to the forty seven salespeople inside the yard. Scatterplot of Quantity of Sales last month vs A lot of experience

Volume of Sales a month ago

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0

zero

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