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The pathogen yesphehora capsic causes bell peppers to wit and die. Becaute bell peppers are an important commercial crop, this disease has undergone a great deal of agncultural research. sthoughe that too mudh water aes the spread of the pothogen. Two fields are under study. The fist step in the research propect is to compare the mean soll water content for the two felds. Unt are percentage of water by valume of sol. Field A samples, Field B samples, A USE SALT Use a calculator to calculate and s, (Round your answers to four deamal plaons.) (a) Assuming the dstribution of sol water content in cach feic is mound-shaped and symmetic, use a S%level of significance to tez the caim that feld A has, on average, a higher soil water content than fiele 00 What is the level of significance? O State the null and alternate hypctheses. (4) what sampling distribution will you use? What assumptions are you making? O The Student's t. Vie assume that both population distributions are approximately normal with known standard deviations • The Student's t. Vie 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 unknown standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations.

The pathogen yesphehora capsic causes bell peppers to wit and die. Becaute bell peppers are an important commercial crop, this disease has undergone a great deal of agncultural research. sthoughe that too mudh water aes the spread of the pothogen. Two fields are under study. The fist step in the research propect is to compare the mean soll water content for the two felds. Unt are percentage of water by valume of sol. Field A samples, Field B samples, A USE SALT Use a calculator to calculate and s, (Round your answers to four deamal plaons.) (a) Assuming the dstribution of sol water content in cach feic is mound-shaped and symmetic, use a S%level of significance to tez the caim that feld A has, on average, a higher soil water content than fiele 00 What is the level of significance? O State the null and alternate hypctheses. (4) what sampling distribution will you use? What assumptions are you making? O The Student's t. Vie assume that both population distributions are approximately normal with known standard deviations • The Student's t. Vie 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 unknown standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The pathogen Phytophthora capsicl causes bell peppers to wilt and die. Because bell peppers are an important commercial crop, this disease has undergane 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 sol water content for the two fields. Units are percentage of water by volume of sol. Ficld A samples, x. 10.0 10.7 15.5 10.4 9.9 15.1 15.2 13.8 14.1 11.4 11.5| 11.0 Field B samples, X A USE SALT Use a cakculator to calculate x,5,. X, and s,- (Round your answers to four dedmal places.) (a) Ascuminc the distribution of soil water content in cach field is mound-shaped and svmmetric, use a 5% level of sianificance to test the daim that field A has, on averace, a higher spil water content than fleld B. (1) What is the level of significance? State the null and alternate hypotheses O H: , -i Hi, 2 O Hgi 1-2i H * P2 (1) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. • The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The standard normal. assume that both population distributions approximately nomal with unknown standard deviations. The standard norm sume that both oulation approximately deviations. 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.)
Transcribed Image Text:The pathogen Phytophthora capsicl causes bell peppers to wilt and die. Because bell peppers are an important commercial crop, this disease has undergane 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 sol water content for the two fields. Units are percentage of water by volume of sol. Ficld A samples, x. 10.0 10.7 15.5 10.4 9.9 15.1 15.2 13.8 14.1 11.4 11.5| 11.0 Field B samples, X A USE SALT Use a cakculator to calculate x,5,. X, and s,- (Round your answers to four dedmal places.) (a) Ascuminc the distribution of soil water content in cach field is mound-shaped and svmmetric, use a 5% level of sianificance to test the daim that field A has, on averace, a higher spil water content than fleld B. (1) What is the level of significance? State the null and alternate hypotheses O H: , -i Hi, 2 O Hgi 1-2i H * P2 (1) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. • The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The standard normal. assume that both population distributions approximately nomal with unknown standard deviations. The standard norm sume that both oulation approximately deviations. 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.)
(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 fal to reject the null hypothesis and condlude the data are not statistically significant. O At the a - 0.05 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 fall to reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your condusion in the context of the application. e 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 insufficient evidence that mean sol water content is higher in Fleld A O Fail to reject the null hypothesis, there is suffident evidence that mean soll water content is higher in Fleld 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 -P2- (Round your answers to two decimal places.) lower limit upper limit
Transcribed Image Text:(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 fal to reject the null hypothesis and condlude the data are not statistically significant. O At the a - 0.05 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 fall to reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your condusion in the context of the application. e 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 insufficient evidence that mean sol water content is higher in Fleld A O Fail to reject the null hypothesis, there is suffident evidence that mean soll water content is higher in Fleld 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 -P2- (Round your answers to two decimal places.) lower limit upper limit
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