wilboisa000
20.08.2019 •
Mathematics
An agricultural field trial compares the yield of two varieties of corn. the researchers divide in half each of 14 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 14 differences (variety a - variety b) give x¯=2.82 and s=6.96. 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 μ , 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) h0 : ha : (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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Ответ:
Step-by-step explanation:
1) H0 : Mean of variety A - Variety B = 0
Ha : Mean of variety A - Variety B>0
(one tailed test)
(b) Find the test statistic, t = Mean difference / std error
Std error = std dev/sqrt n =
(c) Answer the question:
Does this sample provide evidence that Variety A had a higher yield than Variety B?
df = 14-2 =12
p value = 0.043
Since p<0.05, (our significance level) reject H0.
Yes. this sample provides evidence that Variety A had a higher yield than Variety B
Ответ: