Dairy cows - The USDA collects and distributes a wide variety of data about agriculture in the United States. One statistic reported each year is the number of milk cows (in thousands) in each state. A random sample of 10 states is selected, with the number of milk cows reported in both 2011 and 2015. test statistic 1.277 p-value = .7910 : (-8.802 An agricultural researcher wants to conduct a paired difference test to determine if the mean number of milk cows (in thousands) in the US changed between 2011 and 2015. Round all calculated values to 4 decimal places as appropriate. 1. Which hypotheses should be used to conduct the test? OA. Ho Hdiff=0 vs. Ha Hdiff <0 B. Ho Hdiff=0 vs. Ha Hdiff #0 OC. Ho Hdiff < 5.7 vs. Ha OD. Ho Hdiff=0 vs. H₁ : Hdiff > 0 2. Assume the conditions for the hypothesis test are met and find the test statistic and the p-value. : State Connecticut North Carolina Florida Arizona Montana Wisconsin Louisiana Michigan Hdiff > 5.7 20.202 New Mexico Illinois mean sd 2011 2015 19 19 45 47 119 125 188 195 14 1265 14 1279 18 14 366 408 329 323 98 94 246.1 251.8 379.881 385.58 Difference 0 2 6 7 0 14 -4 42 -6 -4 5.7 14.111 3. Based on the p value we have Little ✓evidence that the null model is not a good fit for our observed data. 4. Construct a 99% confidence interval for the mean difference in the number of milk cows (in thousands) between 2011 and 2015.

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Dairy cows - The USDA collects and distributes a wide variety of data about agriculture in the United States. One statistic reported each year is the number of milk cows (in thousands) in each state. A random sample
of 10 states is selected, with the number of milk cows reported in both 2011 and 2015.
1. Which hypotheses should be used to conduct the test?
diff=0 vs. H₁ :
0 vs. Ha diff <0
diff=0 vs. Ha : Pdiff 0
:
A. Ho
B. Ho
OC. Ho
OD. Ho : Hdiff
0 vs. Ha diff 0
2. Assume the conditions for the hypothesis test are met and find the test statistic and the p-value.
diff < 5.7 vs. Ha
-8.802
=
test statistic = 1.277
p-value = .7910
State
Connecticut
North Carolina
Florida
Arizona
Montana
Wisconsin
Louisiana
Michigan
An agricultural researcher wants to conduct a paired difference test to determine if the mean number of milk cows (in thousands) in the US changed between 2011 and 2015.
Round all calculated values to 4 decimal places as appropriate.
New Mexico
Illinois
diff > 5.7
20.202
mean
sd
2015
19
47
125
195
14
1279
14
408
2011
19
45
119
188
14
1265
18
366
329
323
98
94
246.1 251.8
379.881 385.58
Difference
0
2
6
7
0
14
-4
42
-6
-4
5.7
14.111
3. Based on the p value we have Little
evidence that the null model is not a good fit for our observed data.
4. Construct a 99% confidence interval for the mean difference in the number of milk cows (in thousands) between 2011 and 2015.
Transcribed Image Text:(...) Dairy cows - The USDA collects and distributes a wide variety of data about agriculture in the United States. One statistic reported each year is the number of milk cows (in thousands) in each state. A random sample of 10 states is selected, with the number of milk cows reported in both 2011 and 2015. 1. Which hypotheses should be used to conduct the test? diff=0 vs. H₁ : 0 vs. Ha diff <0 diff=0 vs. Ha : Pdiff 0 : A. Ho B. Ho OC. Ho OD. Ho : Hdiff 0 vs. Ha diff 0 2. Assume the conditions for the hypothesis test are met and find the test statistic and the p-value. diff < 5.7 vs. Ha -8.802 = test statistic = 1.277 p-value = .7910 State Connecticut North Carolina Florida Arizona Montana Wisconsin Louisiana Michigan An agricultural researcher wants to conduct a paired difference test to determine if the mean number of milk cows (in thousands) in the US changed between 2011 and 2015. Round all calculated values to 4 decimal places as appropriate. New Mexico Illinois diff > 5.7 20.202 mean sd 2015 19 47 125 195 14 1279 14 408 2011 19 45 119 188 14 1265 18 366 329 323 98 94 246.1 251.8 379.881 385.58 Difference 0 2 6 7 0 14 -4 42 -6 -4 5.7 14.111 3. Based on the p value we have Little evidence that the null model is not a good fit for our observed data. 4. Construct a 99% confidence interval for the mean difference in the number of milk cows (in thousands) between 2011 and 2015.
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