Question

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?

yes
cannot be determined
no

question 18
1 pts
ch 21* the 2013 national assessment of educational progress (naep) gave a mathematics test to a random sample of twelfth - graders in michigan. the mean score was 154 out of 300. to give a confidence interval for the mean score of all michigan twelfth - graders, you would use
the two - sample t interval.
the matched pairs t interval.
the one - sample t interval.

Explanation:

For the first question, since the 95% confidence interval for the difference in means \((-23.395,48.395)\) contains \(0\), we cannot conclude that there is a significant difference between the two diet groups. For the second question, when we want to estimate the mean of a single population (all Michigan twelfth - graders' math scores) from a single sample, we use the one - sample \(t\) interval. The two - sample \(t\) interval is for comparing two independent populations, and the matched pairs \(t\) interval is for paired data.

Answer:

For the first question: No.
For the second question: the one - sample \(t\) interval.