find a 95% confidence interval for each pair difference. Recall that a confidence interval for μi−μj can be constructed as follows. ( ̄xi− ̄xj)±t∗√MSE(1ni+1nj) TheMSE is the mean square error from the ANOVA table. The t^* is from the t-distribution with n−k degrees of freedom, where n is the total sample size and k the number of groups. Between Low and Medium levels of calcium. Between Low and High levels of calcium. Between Medium and High levels of cal

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find a 95% confidence interval for each pair difference. Recall that a confidence interval for μi−μj can be constructed as follows.

( ̄xi− ̄xj)±t∗√MSE(1ni+1nj)

TheMSE is the mean square error from the ANOVA table. The t^* is from the t-distribution with n−k degrees of freedom, where n is the total sample size and the number of groups.

  1. Between Low and Medium levels of calcium.
  2. Between Low and High levels of calcium.
  3. Between Medium and High levels of calcium.

 

Calcium GillRate
Low 55
Low 63
Low 78
Low 85
Low 65
Low 98
Low 68
Low 84
Low 44
Low 87
Low 48
Low 86
Low 93
Low 64
Low 83
Low 79
Low 85
Low 65
Low 88
Low 47
Low 68
Low 86
Low 57
Low 53
Low 58
Low 47
Low 62
Low 64
Low 50
Low 45
Medium 38
Medium 42
Medium 63
Medium 46
Medium 55
Medium 63
Medium 36
Medium 58
Medium 73
Medium 69
Medium 55
Medium 68
Medium 63
Medium 73
Medium 45
Medium 79
Medium 41
Medium 83
Medium 60
Medium 48
Medium 59
Medium 33
Medium 67
Medium 43
Medium 57
Medium 72
Medium 46
Medium 74
Medium 68
Medium 83
High 59
High 45
High 63
High 52
High 59
High 78
High 72
High 53
High 69
High 68
High 57
High 63
High 68
High 83
High 38
High 85
High 68
High 63
High 58
High 48
High 42
High 42
High 80
High 42
High 52
High 37
High 57
High 62
High 40
High 42
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