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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 405 Weeks Ago, 6 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]
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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.
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(a)[5 marks]
What is the probability that the investment property selected is worth less than $400,000?
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(b)[7 marks]
What is the probability that the investment property selected is worth between $450,000 and $600,000?
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(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?
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(d)[5 marks]
One investor has 20 properties. What is the probability that the total value of these properties is more than $15 million?
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Question 2 [13 marks]
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A random sample of 25 customers at the checkout in a small local supermarket revealed that they had spent the following amounts in the supermarket ($):
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25455059635380541218272930
655015724371603555491554
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(a)[4 marks]
Give a point estimate for the mean amount per customer spent at the supermarket.
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(b)[9 marks]
Give a 99% confidence interval estimate for the meanamount per customer spent at the supermarket.
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Question 3 [13 marks]
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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:
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16591170841917218451175361859817253146241758916625110581663319718192191842117976179381680318830201092115115139199331821618523
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(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.
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(b)[4 marks]
What assumptions must be made for the test to be valid?Assignment 2
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Business Statistics 5123/Statistical Analysis and Decision Making G 6275
Faculty of Information Sciences and Engineering, UC
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Question 1 [24 marks]
Â
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.
Â
[5 marks]
What is the probability that the investment property selected is worth less than $400,000?Â
Â
[7 marks]
What is the probability that the investment property selected is worth between $450,000 and $600,000?
Â
[7 marks]
What is the value of a particular investment property if only 10% of all investment properties are more valuable than this property?
Â
[5 marks]
One investor has 20 properties. What is the probability that the total value of these properties is more than $15 million?
Â
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Question 2 [13 marks]
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A random sample of 25 customers at the checkout in a small local supermarket revealed that they had spent the following amounts in the supermarket ($):
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   25  45  50  59  63  53  80  54  12  18  27  29  30 Â
65 Â 50 Â 15 Â 72 Â 43 Â 71 Â 60 Â 35 Â 55 Â 49 Â 15 Â 54
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[4 marks]
Give a point estimate for the mean amount per customer spent at the supermarket.
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[9 marks]
Give a 99% confidence interval estimate for the mean amount per customer spent at the supermarket.
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Question 3 [13 marks]
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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:
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16591 Â 17084 Â 19172 Â 18451 Â 17536 Â 18598 Â 17253 Â 14624 Â 17589 Â 16625 Â 11058 Â 16633 Â 19718 Â 19219 Â 18421 Â 17976 Â 17938 Â 16803 Â 18830 Â 20109 Â 21151 Â 15139 Â 19933 Â 18216 Â 18523
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[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.
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[4 marks]
What assumptions must be made for the test to be valid?
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