Give the formula for the proper statistic

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An experiment was conducted to compare the weights of the combs of roosters fed two different vitamin-supplemented diets. Twenty-eight healthy roosters were randomly divided into two groups, with one group receiving diet I and the other receiving diet II. After the study period the comb weight (in milligrams) was recorded for each rooster. The data are:

 

 

DietI

73 130   115 144 127 126 112 76

68 101 126 49 110 123

 

 

 

DietII

80    72    73    60   55    74    67 89

75   66    93 75    68   76

 

a)

Suppose you wanted to conduct a nonparametric test to compare these data. Using

α = .05, complete the following:

 

 

H0:

Ha: (two-sided):

Value of test statistic:

p-value:

Conclusion:

b) Suppose the experimenters submitted a scientific paper on their results, and received a number of suggestions from referees. One referee suggests that the underlying distributions are normally distributed, and hence that one should compare the two mean weights. Suppose you investigate comparing means assuming normality. Give the formula for the proper statistic to use, and also the p-value.

Formula for test statistic:

p-value::

Reference no: EM13244011

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