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Levels Tought:
Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 430 Weeks Ago, 5 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Question 1 [24 marks]
Suppose the value of investment properties is normally distributed with a mean of $550,000 and a standard deviation of $70,000. An investment property is randomly selected.
(a)[5 marks]
What is the probability that the investment property selected is worth less than $400,000?
(b)[7 marks]
What is the probability that the investment property selected is worth between $450,000 and $600,000?
(c)[7 marks]
What is the value of a particular investment property if only 10% of all investment properties are more valuable than this property?
(d)[5 marks]
One investor has 20 properties. What is the probability that the total value of these properties is more than $15 million?
Question 2 [13 marks]
A random sample of 25 customers at the checkout in a small local supermarket revealed that they had spent the following amounts in the supermarket ($):
25455059635380541218272930
655015724371603555491554
(a)[4 marks]
Give a point estimate for the mean amount per customer spent at the supermarket.
(b)[9 marks]
Give a 99% confidence interval estimate for the meanamount per customer spent at the supermarket.
Question 3 [13 marks]
A leading company chemically treats its product before packaging. The company monitors the weight of product per hour that each machine treats. A simple random sample of 25 one hour periods from one machine was taken. The results in kilos are shown below:
16591170841917218451175361859817253146241758916625110581663319718192191842117976179381680318830201092115115139199331821618523
(a)[9 marks]
Can the company conclude that the mean kilo of product treated in one hour by this machine is more than 15,000? Use a 5% level of significance.
(b)[4 marks]
What assumptions must be made for the test to be valid?Assignment 2
Business Statistics 5123/Statistical Analysis and Decision Making G 6275
Faculty of Information Sciences and Engineering, UC
Question 1 [24 marks]
Suppose the value of investment properties is normally distributed with a mean of $550,000 and a standard deviation of $70,000. An investment property is randomly selected.
[5 marks]
What is the probability that the investment property selected is worth less than $400,000?
[7 marks]
What is the probability that the investment property selected is worth between $450,000 and $600,000?
[7 marks]
What is the value of a particular investment property if only 10% of all investment properties are more valuable than this property?
[5 marks]
One investor has 20 properties. What is the probability that the total value of these properties is more than $15 million?
Question 2 [13 marks]
A random sample of 25 customers at the checkout in a small local supermarket revealed that they had spent the following amounts in the supermarket ($):
25 45 50 59 63 53 80 54 12 18 27 29 30
65 50 15 72 43 71 60 35 55 49 15 54
[4 marks]
Give a point estimate for the mean amount per customer spent at the supermarket.
[9 marks]
Give a 99% confidence interval estimate for the mean amount per customer spent at the supermarket.
Question 3 [13 marks]
A leading company chemically treats its product before packaging. The company monitors the weight of product per hour that each machine treats. A simple random sample of 25 one hour periods from one machine was taken. The results in kilos are shown below:
16591 17084 19172 18451 17536 18598 17253 14624 17589 16625 11058 16633 19718 19219 18421 17976 17938 16803 18830 20109 21151 15139 19933 18216 18523
[9 marks]
Can the company conclude that the mean kilo of product treated in one hour by this machine is more than 15,000? Use a 5% level of significance.
[4 marks]
What assumptions must be made for the test to be valid?
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