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Test the claim that on average, heights (in feet) of oak trees in a forest are less than heights of pine trees. Use a = 0.01. It is known that tree heights follow a normal distribution, and the population standard deviation for both species is known to be 10.3 feet. The table below shows the results of two random samples. Туре Oaks 21 56.7 Pines 17 60.7

Test the claim that on average, heights (in feet) of oak trees in a forest are less than heights of pine trees. Use a = 0.01. It is known that tree heights follow a normal distribution, and the population standard deviation for both species is known to be 10.3 feet. The table below shows the results of two random samples. Туре Oaks 21 56.7 Pines 17 60.7

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Translate sde OZ since testing two proportions OT since both o values are not known The Degrees of Freedom (use the simple estimate discussed in the notes, not the messy formula) are ON/A; this is a Z-test O 16 O21 3. The STS (round to 3 decimals) is: The P-value (round to 4 decimals) is: 4. The decision at a = 0.01 is: O Do not reject Ho since P > a O Do not reject Ho since P < a O Reject Ho since P < a O Reject Ho since P > a The conclusion is: O There is sufficient evidence to conclude that on average, oak tree heights are less than pine tree heights O There is insufficient evidence to conclude that on average, oak tree heights are not less than pine tree heights O There is insufficient evidence to conclude that on average, oak tree heights are less than pine tree heights O There is sufficient evidence to conclude that on average, oak tree heights are not less than pine tree beights 13 MacBook Air esc FI F4 411 %23 24 2 3 5 6 8. Q tab RI A S ock
Transcribed Image Text:Translate sde OZ since testing two proportions OT since both o values are not known The Degrees of Freedom (use the simple estimate discussed in the notes, not the messy formula) are ON/A; this is a Z-test O 16 O21 3. The STS (round to 3 decimals) is: The P-value (round to 4 decimals) is: 4. The decision at a = 0.01 is: O Do not reject Ho since P > a O Do not reject Ho since P < a O Reject Ho since P < a O Reject Ho since P > a The conclusion is: O There is sufficient evidence to conclude that on average, oak tree heights are less than pine tree heights O There is insufficient evidence to conclude that on average, oak tree heights are not less than pine tree heights O There is insufficient evidence to conclude that on average, oak tree heights are less than pine tree heights O There is sufficient evidence to conclude that on average, oak tree heights are not less than pine tree beights 13 MacBook Air esc FI F4 411 %23 24 2 3 5 6 8. Q tab RI A S ock
Test the claim that on average, heights (in feet) of oak trees in a forest are less than heights of pine trees. Use a = 0.01. It is known that tree heights follow a normal distribution, and the population standard deviation for both species is known to be 10.3 feet. The table below shows the results of two random samples. Туре 21 n Oaks 56.7 Pines 17 60.7 1. The fact that heights are known to be normally distributed is important in this test because: O this is a Z-test O both sample sizes are less than thirty O both standard deviations are less than thirty O this is a T-test The hypotheses are: O Ho:p1 2 P2; Ha:p1 < P2 O Ho:µ1 < p2; Ha: µ1 > µ2 O Ho:µ1 = µ2; Ha: µ1 + p2 O Ho:p = P2; Ha:p1 # P2 O Ho:pi < P2; Ha: p1 > p2 O Ho:µ1 2 H2; Ha:p < p2 2. This is a O leftO rightO two tailed test and the distribution used is Oz since both o values are known 13 MacBook Air esc F1 80 F3 F2 F4 FS F6 %23 & 2 3 5 6 tab R.
Transcribed Image Text:Test the claim that on average, heights (in feet) of oak trees in a forest are less than heights of pine trees. Use a = 0.01. It is known that tree heights follow a normal distribution, and the population standard deviation for both species is known to be 10.3 feet. The table below shows the results of two random samples. Туре 21 n Oaks 56.7 Pines 17 60.7 1. The fact that heights are known to be normally distributed is important in this test because: O this is a Z-test O both sample sizes are less than thirty O both standard deviations are less than thirty O this is a T-test The hypotheses are: O Ho:p1 2 P2; Ha:p1 < P2 O Ho:µ1 < p2; Ha: µ1 > µ2 O Ho:µ1 = µ2; Ha: µ1 + p2 O Ho:p = P2; Ha:p1 # P2 O Ho:pi < P2; Ha: p1 > p2 O Ho:µ1 2 H2; Ha:p < p2 2. This is a O leftO rightO two tailed test and the distribution used is Oz since both o values are known 13 MacBook Air esc F1 80 F3 F2 F4 FS F6 %23 & 2 3 5 6 tab R.
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