(c) Find (or estimate) the Pvalue. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. a Puglue Pvalue d. Pvalue P-value (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, vwe reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there is insufficient evidence that mean soil water content is higher in Field A. O Reject the null hypothesis, there is sufficient evidence that mean soil water content is higher in Field A. O Fail to reject the null hypothesis, there is sufficient evidence that mean soil water content is higher in Field A. O Reject the null hypothesis, there is insufficient evidence that mean soil water content is higher in Field A.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 22EQ

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The pathogen Phytophthora capsici causes bell peppers to wilt and die. Because bell peppers are an important commercial crop, this disease has undergone a great deal of agricultural research. It is thought that too much water aids the spread of the pathogen. Two fields are under study. The first step in the research project is to compare the mean soil water content for the two fields. Units are percent water by volume of soil.

I need help with sketching (c) (d) and (e)

(c) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
0.050 < P-value < 0.125
O 0.025 < P-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
Sketch the sampling distribution and show the area corresponding to the P-value.
a
P-value
P.value
d.
P-value
P-value
(d) Based on your answers in parts (a) to (c), vill you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
O Fail to reject the null hypothesis, there is insufficient evidence that mean soil vater content is higher in Field A.
Reject the null hypothesis, there is sufficient evidence that mean soil water content is higher in Field A.
O Fail to reject the null hypothesis, there is sufficient evidence that mean soil water content is higher in Field A.
O Reject the null hypothesis, there is insufficient evidence that mean soil water content is higher in Field A.

Field A samples, x1:
10.2
10.5 15.3
10.6
9.7
10.0 16.6
15.1
15.2
13.8
14.1
11.4
11.5 11.0
Field B samples, x2:
8.3
8.5
8.4
7.3
8.2
7.1 13.9
12.2
13.4
11.3 12.6
12.6 12.7
12.4 11.3
12.5
(i) Use a calculator to calculate x,, s,, x2, and s,. (Round your answers to four decimal places.)
X2 =
s2 =
(ii) Assuming the distribution of soil water content in each field is mound-shaped and symmetric, use a 5% level of significance to test the claim that field A has, on average, a higher soil water content than field B.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: H1 = H2i H;: H1 # Hz
O Ho: H1 = H2i H;: Hy> Hz
O Ho: H1 > H2i Hi: Hy = H2
O Ho: H1 = H2i Hạ: H1 < H2
(b) What sampling distribution will you use? What assumptions are you making?
O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
O The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
What is the value of the sample test statistic? (Test the difference µ, - µz. Do not use rounded values. Round your final answer to three decimal places.)
I| ||

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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