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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¯=3.5 and s=2.15. Does this sample provide evidence that Variety A had a higher yield than Variety B?
(a) State the null and alternative hypotheses:
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)
Does thus data support the researchers' hypothesis? Test the relevant hypothesis using a = .1 by first calculating a p-value.
complete parts a through d for the sampling distribution of the sample mean shown in the accompanying graph. i attached
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Using the .05 level, do the results support the researcher's theory? (a) Use the steps of hypothesis testing, (b) sketch the distributions involved.
A health researcher is interested in determining whether or not the speed at which people walk is related to their cholesterol levels. He picks 100 adult volunteers at random, checks their cholesterol levels, and then times each one while they wal..
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Suppose a simple random sample of size 50 is selected from a population with σ= 10. Find the value of the standard error of the mean in each of the following case?
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