9. You are an agricultural consultant researching the effect of different ground surfaces for dairy cattle. On a particular farm, the cow stalls are covered with straw, and the farm produces an average of 750 gallons of milk per day. The farmer is interested in knowing whether he can increase his milk yield by swapping out the straw for cow waterbeds. After making the switch, the farmer measures his yield on 18 days, finding a sample mean of 810 gallons and a sample standard deviation of 80 gallons. a) Carry out a hypothesis test to ask whether the mean yield from cows on waterbeds is greater than the mean yield for cows on straw, using a = 0.01. Be sure to carry out all of the steps of a hypothesis test, and phrase your conclusion in a way that will be useful to the farmer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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9. You are an agricultural consultant researching the effect of different ground surfaces for dairy cattle.
On a particular farm, the cow stalls are covered with straw, and the farm produces an average of 750
gallons of milk per day. The farmer is interested in knowing whether he can increase his milk yield by
swapping out the straw for cow waterbeds. After making the switch, the farmer measures his yield on
18 days, finding a sample mean of 810 gallons and a sample standard deviation of 80 gallons.
a) Carry out a hypothesis test to ask whether the mean yield from cows on waterbeds is greater
than the mean yield for cows on straw, using a = 0.01. Be sure to carry out all of the steps of a
hypothesis test, and phrase your conclusion in a way that will be useful to the farmer.
Transcribed Image Text:9. You are an agricultural consultant researching the effect of different ground surfaces for dairy cattle. On a particular farm, the cow stalls are covered with straw, and the farm produces an average of 750 gallons of milk per day. The farmer is interested in knowing whether he can increase his milk yield by swapping out the straw for cow waterbeds. After making the switch, the farmer measures his yield on 18 days, finding a sample mean of 810 gallons and a sample standard deviation of 80 gallons. a) Carry out a hypothesis test to ask whether the mean yield from cows on waterbeds is greater than the mean yield for cows on straw, using a = 0.01. Be sure to carry out all of the steps of a hypothesis test, and phrase your conclusion in a way that will be useful to the farmer.
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