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How do you solve this problem?Based on the model​N(11571157​,8787​)describing steer​ weights, what are the cutoff values for​a) the highest​ 10% of the​ weights?​b) the lowest​ 20% of the​ weights?​c) the middle​ 40% of the​ weights? ��a) The cutoff weight for the highest​ 10% of the steer weights is _______pounds.

Question

How do you solve this problem?

Based on the model
​N(11571157​,8787​)
describing steer​ weights, what are the cutoff values for
​a) the highest​ 10% of the​ weights?
​b) the lowest​ 20% of the​ weights?
​c) the middle​ 40% of the​ weights?
 
��a) The cutoff weight for the highest​ 10% of the steer weights is _______
pounds.
check_circleAnswer
Step 1

(a)

The cutoff weight for the highest 10% of the steer weights is obtained as follows:

From the Standard Normal Table,
1,1571.28 x 87
the value of P(Z> :) =0.10 is 1.28
1,268.36
help_outline

Image Transcriptionclose

From the Standard Normal Table, 1,1571.28 x 87 the value of P(Z> :) =0.10 is 1.28 1,268.36

fullscreen
Step 2

Thus, the cutoff weight for the highest 10% of the steer weights is 1,268.36 pounds.

(b)

The cutoff weight for the lowest 20% of the steer weights is obtained as follows:

From the Standard Normal Table,
1,157-0.84x 87
the value of P(Z<) = 0.20 is -0.84
1,083.92
help_outline

Image Transcriptionclose

From the Standard Normal Table, 1,157-0.84x 87 the value of P(Z<) = 0.20 is -0.84 1,083.92

fullscreen
Step 3

Thus, the cutoff weight for the lowest 20% of the steer weights is 1,083.92 pounds.

...
P(-Z <)0.40
2P(Z-)(1-0.40)
P(Z<)0.30
help_outline

Image Transcriptionclose

P(-Z <)0.40 2P(Z-)(1-0.40) P(Z<)0.30

fullscreen

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