A beet farmer owns two plots of land that are equal in area but with different soil conditions. The farmer wants to compare the average annual crop yields from the two plots. The farmer selects a random sample of ni = 6 years and gathers data for these years on the first plot's yield. He also selects a random sample of n2 = 7 years and gathers data for these years on the second plot's yield. Then he computes the mean yield for each sample. Suppose that the annual crop yield from the first plot is normally distributed with Hi = 1,489 and of = 22,052, and that the annual crop yield from the

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Use the Distributions tool to help answer the question that follows.
Chi-Square
Chi-Square
F Distribution
Standard Normal
t Distribution
Uniform
TIT TTT TTT TTIT TIT TTT TTTT
0 1 2 3 456
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
What is the probability that the sample mean yield for the first plot exceeds the sample mean yield for the second plot by at least 190 beets?
O 0.2831
O 0.2265
O 0.0446
O 0.4563
Transcribed Image Text:Use the Distributions tool to help answer the question that follows. Chi-Square Chi-Square F Distribution Standard Normal t Distribution Uniform TIT TTT TTT TTIT TIT TTT TTTT 0 1 2 3 456 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 What is the probability that the sample mean yield for the first plot exceeds the sample mean yield for the second plot by at least 190 beets? O 0.2831 O 0.2265 O 0.0446 O 0.4563
A beet farmer owns two plots of land that are equal in area but with different soil conditions. The farmer wants to compare the average annual crop
yields from the two plots. The farmer selects a random sample of ni = 6 years and gathers data for these years on the first plot's yield. He also
selects a random sample of n2 = 7 years and gathers data for these years on the second plot's yield. Then he computes the mean yield for each
sample.
Suppose that the annual crop yield from the first plot is normally distributed with Hi = 1,489 and o; = 22,052, and that the annual crop yield from the
second plot is normally distributed with P2 = 1,429 and of = 15,436.
The difference between the two sample means follows a
distribution with a mean of
v and standard deviation equal to
Use the Distributions tool to help answer the question that follows.
Chi-Square
Chi-Square
F Distribution
Standard Normal
t Distribution
Uniform
T
AA
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Transcribed Image Text:A beet farmer owns two plots of land that are equal in area but with different soil conditions. The farmer wants to compare the average annual crop yields from the two plots. The farmer selects a random sample of ni = 6 years and gathers data for these years on the first plot's yield. He also selects a random sample of n2 = 7 years and gathers data for these years on the second plot's yield. Then he computes the mean yield for each sample. Suppose that the annual crop yield from the first plot is normally distributed with Hi = 1,489 and o; = 22,052, and that the annual crop yield from the second plot is normally distributed with P2 = 1,429 and of = 15,436. The difference between the two sample means follows a distribution with a mean of v and standard deviation equal to Use the Distributions tool to help answer the question that follows. Chi-Square Chi-Square F Distribution Standard Normal t Distribution Uniform T AA 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
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