Assessment details for all students Assessment item 2—Assignment 2 Due Date: 5:00pm, Friday Week 10 ASSESSMENT Weighting: 20% 2 Format: Submit one file online as .doc, .docx, .rtf or .pdf Assessment...

Assessment details for all students Assessment item 2—Assignment 2

Due Date:	5:00pm, Friday Week 10	ASSESSMENT
Weighting:	20%	2
Format:	Submit one file online as .doc, .docx, .rtf or .pdf

Assessment criteria

• This assignment must be typed, word-processed or clearly hand-written
  (but plots and graphs must be done using EXCEL or equivalent software),and submitted online as a single file through Moodle.Important Note:
  The file size must not be over 100MB.


• MicrosoftExcel allows students to cut and paste information easily into Microsoft Word documents. Word also allows the use of Microsoft Equation Editor to produce all necessary formulae (use of these are recommended).


• It is expected that Excel would be used to assist in statistical calculations for questions in this assignment.Where Excel is used, use copy function, “Snipping tool” or similar to cut and paste relevant parts of the spreadsheet to verify that you have done the work. (In that case there is no need to write the equations.)


• For those questions where Excel is not used to do the computations, all formulae and working must be included to obtain full marks.


• Only one file will be accepted in any of the formats mentioned above. No zipped file or any other file extension will be accepted. Also,
  no submission as an email attachment will be accepted.


• There will be
  late submission penalty
  for submissions beyond the deadline unless prior approval is obtained from the Unit Coordinator through the extension system in Moodle. Submissions 14 days or more after the deadline will receive a score of zero.

Assignment markers will be looking for answers which

• 
  
  Demonstrate the student’s ability to interpret and apply the statistical techniques in the scenarios
  
  and


• 
  
  Use statistical techniques as decision making tools in the business environment
  .

Full marks will not be awarded to answers which simply demonstrate statistical procedures without comment, interpretation, or discussion (as directed in the questions).

Plagiarism

CQU values academic honesty. Consequently, plagiarism will not be tolerated in assessment items. This assignment must be completed by each student individually

Question 1 4 Marks

1. A machine fills miniature bottles of wine to a mean volume of 350 ml with astandard deviation of 10 ml. The volumes of the bottles are known to be normally distributed. The label on the bottle specifies a volume of 330 ml. A bottle is under filled if it contains lessthan this specified value.

(i)
What percentage of bottles are under filled?

(ii)
In order to reduce thepercentage of under filled bottles to 1%, the company decides toadjust
the standard deviation of the volumes filled by the machine. What should thestandard
deviation?
2 Marks

1. Acouplewhoownandmanageaconveniencestorehavebeenfeelingpressuresinceanewlow-pricesupermarketopenedjustdowntheroad.Intheyearsincethesupermarket’sopening,thecouplehave noticedadropin theirdailytakings.Theresultsofarandomsampleof dailytakingsforfiftydays(all drawnfromthepastyear)arelistedbelow(expressedinwholedollars).

987 1050 918 910 1120
890 897 704 935 983
1009 1050 973 779 958
1023 1016 979 1070 918
1049 926 945 904 1060
852 1080 947 1061 1008
978 904 1042 1032 1034
1037 838 1052 1078 916
1018 1002 1012 929 779
753 966 902 859 1009
Testthisdatausing the normal probability plottoseewhetheritcanadequatelybedescribedbythenormaldistribution.
2 Marks

Question 2 4 Marks

1. The annual income of those employed at InterCall (an IT&T company) is known to have a mean of $55,000 and a standard deviation of $4200. If random samples of thirty InterComm employees are taken, find the proportion of sample mean annual incomes that would be more than $60,000.

1 Mark