A school district has four schools, six class in from each school were randomly selected and the number of students in the class were recorded. Test the claim that at least one school has a different class size at a 0.01 level of significance. School A School B School C School D 49 49 33 35 23 49 32 23 25 41 40 25 47 39 40 31 47 36 36 38 37 34 30 37 The hypotheses for this ANOVA test would be:  H0:μA=μB=μC=μDH0:μA=μB=μC=μD   HA:HA: At least one mean is different. (claim) α=0.01α=0.01  Complete the ANOVA table below: (round answers to 3 decimal places)   SS df MS F p-value Between           Within       The decision of the test is to:   do not reject H0H0 reject H0H0   The final conclusion is:   There is not enough evidence to support the claim that at least one school has a different class size. There is not enough evidence to reject the claim that at least one school has a different class size. There is enough evidence to reject the claim that at least one school has a different class size. There is enough evidence to support the claim that at least one school has a different class size

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A school district has four schools, six class in from each school were randomly selected and the number of students in the class were recorded. Test the claim that at least one school has a different class size at a 0.01 level of significance.

School A School B School C School D
49 49 33 35
23 49 32 23
25 41 40 25
47 39 40 31
47 36 36 38
37 34 30 37

The hypotheses for this ANOVA test would be:

 H0:μA=μB=μC=μDH0:μA=μB=μC=μD 

 HA:HA: At least one mean is different. (claim)

α=0.01α=0.01 

Complete the ANOVA table below: (round answers to 3 decimal places)

  SS df MS F p-value
Between          
Within      

The decision of the test is to:

 

  • do not reject H0H0
  • reject H0H0

 

The final conclusion is:

 

  • There is not enough evidence to support the claim that at least one school has a different class size.
  • There is not enough evidence to reject the claim that at least one school has a different class size.
  • There is enough evidence to reject the claim that at least one school has a different class size.
  • There is enough evidence to support the claim that at least one school has a different class size.
Expert Solution
Step 1

Given data,

School A

School B

School C

School D

49

49

33

35

23

49

32

23

25

41

40

25

47

39

40

31

47

36

36

38

37

34

30

37

 

H0:μA=μB=μC=μD 

 HA: At least one mean is different. (claim)

α=0.01 

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