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### Question

Question 1

Question 1

Toby’s Trucking Company determined that on an annual basis the distance traveled per truck is normally distributed with a mean of 30.0 thousand miles and a standard deviation of 8.0 thousand miles.

( a ) What proportion of trucks can be expected to travel between 30.0 and 40.88 thousand miles in the year?

( b ) What is the probability that a randomly selected truck travels between 25.44 and 34.0 thousand miles in the year?

( c ) What percentage of trucks can be expected to travel below 32 thousand miles in the year?

( d ) What percentage of trucks can be expected to travel above 46 thousand miles in the year?

( e ) At what level L, can 67% of the trucks travel more than L in a year?

Question 2

A visa card company analyzed a sample of 1,000 customers and found that the monthly spending of these customers was normally distributed with μ and σ equal \$1,000 and \$250 respectively.

( a ) What percentage of the spending was more than \$1220 a month?

( b ) What is the probability that his/her spending is within \$750 and \$1500 a month if acustomer is randomly selected from the sample?

( c ) In the sample of 1000 customers, estimate the number of customers whose spending is below \$870 a month.

( d ) What is the minimum spending to join the lucky draw if the top 2.5% of customers who spend most in a month can join the lucky draw?

Question 3

A large population of 5,000 students take a practice test to prepare for a standardized test.The population mean is 150 questions correct, and the standard deviation is 90.

( a ) Let X = The number of questions correct obtained by a student. What is the mean and the standard deviation of X?

( b ) Let X = The average number of questions correct in a sample of 120 students. What is the mean and the standard deviation of X ? By the Central Limit Theorem, whatis the distribution of X ?

( c ) What sample size should a researcher take to get a distribution of means of the samples with a standard deviation of 5?

Question 4

( a ) A farmer picks pumpkins from a large field. The farmer makes samples of 300 pumpkins and inspects them. If one in thirty pumpkins are not fit to market and will be saved for seeds, what is the expected value of the mean of the sampling distribution of sample proportions for the number of unfitted pumpkins? What is the corresponding standard deviation of the mean of the sampling distribution?

( b ) A store surveys customers to see if they are satisfied with the service they received. Samples of 55 surveys are taken. One in five people are unsatisfied. What is the expected value of the mean of the sampling distribution of sample proportions for the number of unsatisfied customers? What is the corresponding standard deviation of the mean of the sampling distribution of sample proportions?

### BUSI 1013 (Statistics for Business)

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## More BUSI 1013 BUSI 1013 (Statistics for Business) : Questions & Answers

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### B5UO3 Applied Mathematics for Construction

Scenario: In a construction project, the equipment and materials are some of the main resources. The equipment may include loaders, dozers, etc. and the material may include oil, tires, spare parts, etc. A construction project leader should determine the resource required, i.e. equipment and materia ...

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### ITM406-Object Oriented Application Development

Excel Weekly Lab Activity Mark Value: Pass/Fail (pass = 7.5/10; fail = 0/10) Overview: You are required to work on weekly lab activity at your own pace, in accordance with the weekly lab schedule. The weekly log must be submitted as per the due dates. 1) L ...

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