An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 8 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 8 differences (Variety A - Variety B) give ī = 3.28 and s = 2.14. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol u , e.g. mu >1 for the mean is greater than 1, mu <1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) Ho : 0 Ha : 0 (b) Find the test statistic, t = (C) Answer the question: Does this sample provide evidence that Variety A had a higher yield than Variety B? (Use a 5% level of significance) (Type: Yes or No)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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An agricultural field trial compares the yield of two varieties of corn. The
researchers divide in half each of 8 fields of land in different locations and plant each corn
variety in one half of each plot. After harvest, the yields are compared in bushels per acre at
each location. The 8 differences (Variety A - Variety B) give ī = 3.28 and s = 2.14. Does
this sample provide evidence that Variety A had a higher yield than Variety B?
(a) State the null and alternative hypotheses: (Type "mu" for the symbol u , e.g. mu >1 for
the mean is greater than 1, mu <1 for the mean is less than 1, mu not = 1 for the mean is
not equal to 1)
Ho : 0
Ha : 0
(b) Find the test statistic, t =
(C) Answer the question: Does this sample provide evidence that Variety A had a higher yield
than Variety B? (Use a 5% level of significance)
(Type: Yes or No)
Transcribed Image Text:An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 8 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 8 differences (Variety A - Variety B) give ī = 3.28 and s = 2.14. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol u , e.g. mu >1 for the mean is greater than 1, mu <1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) Ho : 0 Ha : 0 (b) Find the test statistic, t = (C) Answer the question: Does this sample provide evidence that Variety A had a higher yield than Variety B? (Use a 5% level of significance) (Type: Yes or No)
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