Random sampling from four normally distributed populations produced the following data: (You may find it useful to reference the F table.)   Treatments A   B   C   D   −17       −20       −7       −15     −7       −18       −19       −13     −13       −12       −18       −19             −19       −8                             −4

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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This is a practice exam.  I would like to know how to solve using excel or megastat

Random sampling from four normally distributed populations produced the following data: (You may find it useful to reference the F table.)

 

Treatments
A   B   C   D
  −17       −20       −7       −15  
  −7       −18       −19       −13  
  −13       −12       −18       −19  
          −19       −8          
                  −4          
 

 

 

Click here for the Excel Data File

 

a. Calculate the grand mean. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

 

 

 

b. Calculate SSTR and MSTR. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

 

 

 

c. Calculate SSE and MSE. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

 

 

 

d. Specify the competing hypotheses in order to determine whether some differences exist between the population means.

 

multiple choice 1

  • H0: μAμBμC; HA: Not all population means are equal.
  • H0: μA = μB = μC; HA: Not all population means are equal.
  • H0: μAμBμC; HA: Not all population means are equal.

 

e-1. Calculate the value of the F(df1, df2) test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

 

 

 

e-2. Find the p-value.

 

multiple choice 2

  • p-value < 0.01
  • 0.01 p-value < 0.025
  • 0.05 p-value < 0.10
  • 0.025 p-value < 0.05
  • p-value 0.10

 

f. At the 10% significance level, what is the conclusion to the test?

 

multiple choice 3

  • Do not reject H0 since the p-value is not less than significance level
  • Reject H0 since the p-value is less than significance level
  • Reject H0 since the p-value is not less than significance level
  • Do not reject H0 since the p-value is less than significance level



g. Interpret the results at α = 0.10.

multiple choice 4

  • We conclude that some means differ.
  • We cannot conclude that some means differ.
  • We cannot conclude that all means differ.
  • We cannot conclude that population mean C is greater than population mean A.
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