State the null and alternative hypothesis for single factor ANOVA to test for any significant difference in the perception among three groups.                                                                   State the decision rule at 5% significance level.                                                                     Calculate the test statistic.                                                                                                               Based on the calculated test statistics, decide whether there are any significant differences between the yield based on the given temperature levels.

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Edex limited is a renowned agricultural chemical manufacturer in Australia. They conduct many research and development in the field of Agri and Horticulture. Company wanted to examine the effect of temperature on farming of their selected range of products.

Company has produced following results based on their data gathering.

15° C

35

24

36

39

32

25° C

30

31

34

23

27

35° C

23

28

28

30

31

 

  1. State the null and alternative hypothesis for single factor ANOVA to test for any significant difference in the perception among three groups.                                                                  
  2. State the decision rule at 5% significance level.                                                                    
  3. Calculate the test statistic.                                                                                                              
  4. Based on the calculated test statistics, decide whether there are any significant differences between the yield based on the given temperature levels.                                      

Note: No excel ANOVA output allowed in question3.   need to show all the steps in calculations.

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