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Question
question 17
1 pts
ch 21 a dairy scientist compared milk production of cows fed two diets. he randomly divided a set of 10 cows into two groups. one group was fed diet 1 for a month, and the other was fed diet 2 for a month. assume the milk - productions (in lbs/week) are normally distributed. here are the sample results:
a 95% confidence interval for the difference in the mean production of milk is between - 23.395 and 48.395. based on the confidence interval, is there a difference in the mean production of milk between the two diet groups?
Step1: Understand confidence interval interpretation
A confidence interval for the difference in means ($\mu_1-\mu_2$) is given. If the confidence interval contains \(0\), we cannot conclude there is a significant difference between the two population means at the corresponding confidence level.
Step2: Check if \(0\) is in the interval
The given \(95\%\) confidence interval is \((- 23.395,48.395)\). Since \(0\) lies within the interval \(-23.395<0 < 48.395\).
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