Statistics CAT

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Question one

The Kenyan cabinet secretary for agriculture asserted that the locusts in Kenya have an average length of 41mm and hence they will die soon because 41 mm is classified as longer and old wings. With the probability that the average wing length will fall between two values being 99%. Determine the two mean values and test if the minister lied to Kenyan people.  (9marks) 

  Question two                                                            

St. Pauls social science students community project is anticipated to make an average return of Ksh.5000 per day with the standard deviation of 500.If the returns are normally distributed, calculate the likelihood that the project will generate returns:

  1. More than 6200                                      ( 2 marks)

  2. Less than 6000                                       ( 2 marks)

  3. More than 3950                                      ( 2 marks)

  4. More than 4800                                      ( 2 marks)

  5. Between 4800 and 6200                         ( 3 marks)

NOTE: Use appropriate statistical table from google for question one but for question two use the attached table.