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Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive Herbicide A. The remainder of the seedlings is assigned to receive Herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period the height in centimeters is recorded for each seedling. The following results are obtained:   Mean Std. Dev. Herbicide A 94.5 cm 10 cm Herbicide B 109.1 cm 9 cm   Reference: Ref 7-14 Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides.  Find the P-value for this test assuming the standard deviations of the two populations are equal

Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive Herbicide A. The remainder of the seedlings is assigned to receive Herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period the height in centimeters is recorded for each seedling. The following results are obtained:   Mean Std. Dev. Herbicide A 94.5 cm 10 cm Herbicide B 109.1 cm 9 cm   Reference: Ref 7-14 Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides.  Find the P-value for this test assuming the standard deviations of the two populations are equal

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive Herbicide A. The remainder of the seedlings is assigned to receive Herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period the height in centimeters is recorded for each seedling. The following results are obtained:
 
Mean
Std. Dev.
Herbicide A
94.5 cm
10 cm
Herbicide B
109.1 cm
9 cm
 
Reference: Ref 7-14

Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides.  Find the P-value for this test assuming the standard deviations of the two populations are equal. 

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