The weights of a sample of newborn calves are recorded in the table below: 43.0 Male weight (kg) Female weight (kg) 36.8 38.2 41.7 31.9 46.8 37.5 37.2 12.6 39.1 15.7 42.2 31.3 A hypothesis test at a 5% level of significance is conducted to see whether the mean weight of male calves, is the same as the mean weight ir of female calves. a State the null and alternative hypotheses. b Assuming the weights of both male and female calves are normally distributed with the same standard deviation, calculate the p-value for this test. c State, with a reason, whether the null hypothesis should be uccepted.

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The weights of a sample of newborn calves are recorded in the table below:
Male weight (kg)
Female weight (kg) 36.8 37.2 12.6 39.1
38.2 41.7 31.9 46.8 37.5 43.0
45.7 42.2 31.3
A hypothesis test at a 5% level of significance is conducted to see whether the mean weight of male calves, is
the same as the mean weight ir of female calves.
a State the null and alternative hypotheses.
b Assuming the weights of both male and female calves are normally distributed with the same standard deviation,
calculate the p-value for this test.
c State, with a reason, whether the null hypothesis should be uccepted.
Transcribed Image Text:The weights of a sample of newborn calves are recorded in the table below: Male weight (kg) Female weight (kg) 36.8 37.2 12.6 39.1 38.2 41.7 31.9 46.8 37.5 43.0 45.7 42.2 31.3 A hypothesis test at a 5% level of significance is conducted to see whether the mean weight of male calves, is the same as the mean weight ir of female calves. a State the null and alternative hypotheses. b Assuming the weights of both male and female calves are normally distributed with the same standard deviation, calculate the p-value for this test. c State, with a reason, whether the null hypothesis should be uccepted.
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