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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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