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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 11 Jun 2017 My Price 15.00

value of investment properties

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?

 

Answers

(5)
Status NEW Posted 11 Jun 2017 08:06 PM My Price 15.00

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