a. State, in words, the null hypothesis. b. Calculate the p-value for this test. C. State whether the result of the test supports Arriane's claim. Justify your reasoning.

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8.
Arriane has geese on her farm. She claims the mean weight of eggs from her black
geese is less than the mean weight of eggs from her white geese.
She recorded the weights of eggs, in grams, from a random selection of geese. The
data is shown in the table.
Weights of eggs from black geese
136
134
142
141
128
126
Weights of eggs from white
geese
135
138
141
140
136
134
In order to test her claim, Arriane performs a t-test at a 10% level of significance. It
is assumed that the weights of eggs are normally distributed and the samples have
equal variances.
a.
State, in words, the null hypothesis.
b.
Calculate the p-value for this test.
C.
State whether the result of the test supports Arriane's claim. Justify your reasoning.
Transcribed Image Text:8. Arriane has geese on her farm. She claims the mean weight of eggs from her black geese is less than the mean weight of eggs from her white geese. She recorded the weights of eggs, in grams, from a random selection of geese. The data is shown in the table. Weights of eggs from black geese 136 134 142 141 128 126 Weights of eggs from white geese 135 138 141 140 136 134 In order to test her claim, Arriane performs a t-test at a 10% level of significance. It is assumed that the weights of eggs are normally distributed and the samples have equal variances. a. State, in words, the null hypothesis. b. Calculate the p-value for this test. C. State whether the result of the test supports Arriane's claim. Justify your reasoning.
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