b) Find a 90% confidence interval for - (Round your answers to two decimal places.) lower limit upper limt

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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
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
13.8 14.1 11.4 | 11.5 11.0
15.2
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
calculate x,, s,, x,, and s,. (Round your answers to four decimal places.)
x, = |
5, =
52 =
(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.
) What is the level of significance?
Transcribed Image Text: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 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 13.8 14.1 11.4 | 11.5 11.0 15.2 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 calculate x,, s,, x,, and s,. (Round your answers to four decimal places.) x, = | 5, = 52 = (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. ) What is the level of significance?
What is the value of the sample test statistic? Compute the coresponding z or 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 Avalue
Pvalue > 0.250
0.125 < value < 0.250
0.050 < value < 0.125
a.025 < pyalue <0.050
0.005 < Pvalue < 0.025
Pvalue < 0.005
Sketch the sampling distribution and show the area comresponding to the P-value
o -4
() Baced on your answers in parts (1)-(), will you refect or fail to rejedt the nulI hypothesis? Are the data statistically significant at level a?
e At the a - 0.05 level, we fal to reject the null hypothesis and condude the data are not statistically significant.
At the a - 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
DAt the a - 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
At the a - 0.05 level, we fall 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 sol 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 Field
A.
O Fail to reject the null hypothesis, there is suffident evidence that mean sol water content is hicher 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 e, -- (Round your answers to two decimal places.)
lower limit
upper limit
Transcribed Image Text:What is the value of the sample test statistic? Compute the coresponding z or 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 Avalue Pvalue > 0.250 0.125 < value < 0.250 0.050 < value < 0.125 a.025 < pyalue <0.050 0.005 < Pvalue < 0.025 Pvalue < 0.005 Sketch the sampling distribution and show the area comresponding to the P-value o -4 () Baced on your answers in parts (1)-(), will you refect or fail to rejedt the nulI hypothesis? Are the data statistically significant at level a? e At the a - 0.05 level, we fal to reject the null hypothesis and condude the data are not statistically significant. At the a - 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. DAt the a - 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the a - 0.05 level, we fall 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 sol 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 Field A. O Fail to reject the null hypothesis, there is suffident evidence that mean sol water content is hicher 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 e, -- (Round your answers to two decimal places.) lower limit upper limit
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