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...


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

Extracted 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.

Jun 01, 2022
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