What is the value of the sample test statistic? Compute the coresponding z ar t-value as appropriate. (Test the difference e, -H. Do not use rounded values. Round your final answer to three dedimal places.)(1) Find (or estimate) the PvalueO Pvalue > 0.250O 0.125 < Pvalue < 0.250O D.050 < Pvalue < 0.1250.025 < Pvalue 0.050O D.005 < yalue < 0.025O Pvalue < 0.005Sketch the sampling distribution and show the area corresponding to the P-value(v) Based on your answers in parts (1)-(), will you reject or fal to reject the null hypothesis? Are the data statistically significant at level a?• At the a - D.05 level, we fall to reject the null hypothesis and conclude the data are not statistically significant.O At the a - D.05 level, we reject the null hypothesis and conclude the data are not statistically significant.At the e- 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a - D.05 level, we fal to reject the null hypothesis and condude the data are statistically significant.(v) Interpret your condusion in the context of the application.• Reject the null hypothesis, there is sufficient evidence that mean soll water content is higher in Field A.O Fail to reject the null hypothesis, there is insufficent evidence that mean sol water content is higher in FieldA.O Fail to reject the null hypothesis, there is sufficent evidence that mean sol water content is higher in Field A.O Reject the null hypothesis, there is insufficient evidence that mean soll water content is higher in Field A.(b) Find a 90% confidence interval for ,- P- (Round your answers to two decimal places.)lower limitupper limitExplain the meaning of the confidence interval in the context of the problem. The pathogen Phytophthora capsici causes bell peppers to wilt and die. Because belI 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 percentage of water by volume of soil.Field A samples, x:10.0 10.7 15.5 10.49.910.016.615.1 15.2 13.8 14.1 11.4 11.5 11.0Field B samples, x,:8.38.58.4 7.3 8.07.1 13.912.213.4 11.312.6 12.6 12.7 12.4 11.3 12.5A USE SALTUse a calculator to calculate x,, s,,x,, and s,. (Round your answers to four decimal places.)x,(a) 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.(1) What is the level of significance?

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Description: What is the value of the sample test statistic? Compute the coresponding z ar t-value as appropriate. (Test the difference e, -H. Do not use rounded values. Round your final answer to three dedimal places.)(1) Find (or estimate) the PvalueO Pvalue >

Mean of the sample of field A is 12.5143 obtained using Excel formula “=AVERAGE(A1:A14)” Standard…

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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 percentage of water by volume of soil. Field A samples, x, 10.0 10.7 15.5 10.4 9.9 10.0 16.6 15.1 15.2 13.8 14.1 11.4 11.5 11.0 Field B samples, x, 8.3 8.5 8.4| 7.3 8.0 7.1 13.9 12.2 13.4 11.3 12.6 12.6 12.7 12.4 11.3 12.5 A USE SALT Use a calculator to calculate x,, s,,x,, and s,. (Round your answers to four decimal places.) 5, =

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 percentage of water by volume of soil. Field A samples, x, 10.0 10.7 15.5 10.4 9.9 10.0 16.6 15.1 15.2 13.8 14.1 11.4 11.5 11.0 Field B samples, x, 8.3 8.5 8.4| 7.3 8.0 7.1 13.9 12.2 13.4 11.3 12.6 12.6 12.7 12.4 11.3 12.5 A USE SALT Use a calculator to calculate x,, s,,x,, and s,. (Round your answers to four decimal places.) 5, =

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

What is the value of the sample test statistic? Compute the coresponding z ar t-value as appropriate. (Test the difference e, -H. Do not use rounded values. Round your final answer to three dedimal places.)
(1) Find (or estimate) the Pvalue
O Pvalue > 0.250
O 0.125 < Pvalue < 0.250
O D.050 < Pvalue < 0.125
0.025 < Pvalue 0.050
O D.005 < yalue < 0.025
O Pvalue < 0.005
Sketch the sampling distribution and show the area corresponding to the P-value
(v) Based on your answers in parts (1)-(), will you reject or fal to reject the null hypothesis? Are the data statistically significant at level a?
• At the a - D.05 level, we fall to reject the null hypothesis and conclude the data are not statistically significant.
O At the a - D.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the e- 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a - D.05 level, we fal to reject the null hypothesis and condude the data are statistically significant.
(v) Interpret your condusion in the context of the application.
• Reject the null hypothesis, there is sufficient evidence that mean soll water content is higher in Field A.
O Fail to reject the null hypothesis, there is insufficent evidence that mean sol water content is higher in Field
A.
O Fail to reject the null hypothesis, there is sufficent evidence that mean sol water content is higher in Field A.
O Reject the null hypothesis, there is insufficient evidence that mean soll water content is higher in Field A.
(b) Find a 90% confidence interval for ,- P- (Round your answers to two decimal places.)
lower limit
upper limit
Explain the meaning of the confidence interval in the context of the problem.

The pathogen Phytophthora capsici causes bell peppers to wilt and die. Because belI 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 percentage of water by volume of soil.
Field A samples, x:
10.0 10.7 15.5 10.4
9.9
10.0
16.6
15.1 15.2 13.8 14.1 11.4 11.5 11.0
Field B samples, x,:
8.3
8.5
8.4 7.3 8.0
7.1 13.9
12.2
13.4 11.3
12.6 12.6 12.7 12.4 11.3 12.5
A USE SALT
Use a calculator to calculate x,, s,,x,, and s,. (Round your answers to four decimal places.)
x,
(a) 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.
(1) What is the level of significance?

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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. Field A samples, x1: 10.0 10.5 15.5 10.6 9.9 10.0 16.6 15.1 15.2 13.8 14.1 11.4 11.5 11.0 Field B samples, x2: 8.3 8.7 8.4 7.3 8.0 7.1 13.9 12.2 13.4 11.3 12.6 12.6 12.7 12.4 11.3 12.5 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. What is the value of the sample test statistic? (Test the difference μ1 − μ2. Do not use rounded values. Round your final answer to three decimal places.)
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