Question

In order to test the yield capabilities of two new varieties of wheat, researchers planted each variety on a plot of equal area at each of 8 random locations, and the yields, in kilograms per plot, were recorded as follows. Location 1 2 3 4 5 6 7 8 Variety 1 26.7 41.6 42 41.2 44.2 39 43.2 46.6 Variety 2 34.7 49 31.7 44.1 36.1 29.4 34.1 36.8 The yield capabilities are assumed to follow normal distributions. Does the data suggest that the yield of varierty 1 is less than that of varierty 2 if the significance level is 0.05? a. The alternative hypothesis H₁: μ₁ - μ2 < 0 b. Compute the statistic: T = 1.141152627 Note: Choose Z for z.test (using normal distribution), T for t.test (using Student distributions), and F for F.test (using Fisher distributions) c. Determine the acceptance region (the complementary region to the rejection region): (-2.145 2.145 d. Make a conclusion: We fail to reject H_0 Do not round in between steps. (Type oo for Infinity and -oo for Negative Infinity)

Name: in order to test the yield capabilities of two new varieties of wheat researchers planted each variety on a plot of equal area at each of 8 random locations and the yields in kilograms per p 36575
Uploaded: 2023-09-16T19:53:39-08:00
Duration: 1 min 27 s
Channel: Adi S
Description: in order to test the yield capabilities of two new varieties of wheat researchers planted each variety on a plot of equal area at each of 8 random locations and the yields in kilograms per p 36575

          In order to test the yield capabilities of two new varieties of wheat, researchers planted each variety on a
plot of equal area at each of 8 random locations, and the yields, in kilograms per plot, were recorded as
follows.

Location 1 2 3 4 5 6 7 8
Variety 1 26.7 41.6 42 41.2 44.2 39 43.2 46.6
Variety 2 34.7 49 31.7 44.1 36.1 29.4 34.1 36.8

The yield capabilities are assumed to follow normal distributions. Does the data suggest that the yield of
varierty 1 is less than that of varierty 2 if the significance level is 0.05?

a. The alternative hypothesis H₁: μ₁ - μ2 < 0
b. Compute the statistic: T = 1.141152627
Note: Choose Z for z.test (using normal distribution), T for t.test (using Student distributions), and F
for F.test (using Fisher distributions)
c. Determine the acceptance region (the complementary region to the rejection region): (-2.145 
2.145 
d. Make a conclusion: We fail to reject H_0 
Do not round in between steps. (Type oo for Infinity and -oo for Negative Infinity)

in order to test the yield capabilities of two new varieties of wheat researchers planted each variety on a plot of equal area at each of 8 random locations and the yields in kilograms per p 36575

Added by Curtis E.

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