What are the degrees of freedom?dfldfWhat assumptions are you making about the original distribution?O The populations follow independent normal distributions. We have random samples from each population.O The populations follow independent chi-square distributions. We have random samples from each population.O The populations follow independent normal distributions.O The populations follow dependent normal distributions. We have random samples from each populatlon.(c) Find or estimate the Pvalue of the sample test statistic. (Use 4 decimal places.)O p-value > 0.200O 0.100 < p-value < 0.200O 0.050 < p-value < 0.100O 0.020 < p-value < 0.050O 0.002 < p-value < 0.020O p-value < 0.002(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?O At the a = 0.05 level, we reject the null hypothesis and conclude the data are rnot statistically significant.O At the a =0.05 level, we reject the null hypothesis and conclude the data are statisticasignificant.O At the a =0.05 level, we fail to 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.(e) Interpret your conclusion in the context of the application.O Fail to reject the null hypothesis, there is sufficient evidence that the variance in annual wheat production differs between the two plots.O Reject the null hypothesis, there is insufficient evidence that the variance in annual wheat production differs between the two plots.O Reject the null hypothesis, there is sufficient evidence that the variance in annual wheat production differs between the two plots.O Fail to reject the null hypothesis, there is insufficient evidence that the variance in annual wheat production differs between the two plots.O Tyne here to rearch MY NTwo plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows.6.407.037.176.967.317.187.065.796.245.916.14Use a calculator to verify that, for this plot, the sample variance is s 2 0.317.Another random sample of years for a second plot gave the following annual wheat production (in pounds).7.107.038.155.917.22 5.585.475.86Use a calculator to verify that the sample variance for this plot is s2 0.933,Test the claim that there is a difference (cither way) in the populatioh variance of wheat straw production for these two plots, Use a 5% level of signifcance.(a) What is the level of significance?0.05State the null and alternate hypotheses.O H, 0,2 a,2; H0,>0,O H: a,2 > 0,2; H,: 0, = 0,O H,i 0, = 0,; H: 0,? > a,2O H,: 0,- 0,"; H; 0?+0,?(b) Find the valuc of the sample F statistic. (Use 2 decimal places.)What are the degrees of freedom?dfdfolWhat assurmpt ions are you making about the original distribution?O Ihe populations follow Independent normal distritutions. We have random samples from cach population.O The populations follow Independent chi square distributions, We have ranclom samples from each papulation.12:49 PMP Type here to search18°F AQI 527/30/2021(36)

Two plots at Rothamsted Experimental Station were studied for production of wheat straw, For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6.40 7.06 6.96 5.91 7.03 7.17 6.24 7.31 7.18 5.79 6.14 Use a calculator to verify that, for this plot, the sample variance is s? z 0,317. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 7.10 7.03 8.15 5.91 7.22 5.58 5.47 5,86 Use a calculator to verify that the sample variance tor this plot is s2 0.933. Test the claim that there is a difference (either way) in the population variance of wheat straw production for these two plots, Use a 5%, level of signifcance. (a) What is the level of significance? o 05 State the null and ulternate hypotheses. (b) Find the valuc of the sampic F statistic. (Use 2 decimal places.) What are the degrees of freedom? df dfol

Two plots at Rothamsted Experimental Station were studied for production of wheat straw, For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6.40 7.06 6.96 5.91 7.03 7.17 6.24 7.31 7.18 5.79 6.14 Use a calculator to verify that, for this plot, the sample variance is s? z 0,317. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 7.10 7.03 8.15 5.91 7.22 5.58 5.47 5,86 Use a calculator to verify that the sample variance tor this plot is s2 0.933. Test the claim that there is a difference (either way) in the population variance of wheat straw production for these two plots, Use a 5%, level of signifcance. (a) What is the level of significance? o 05 State the null and ulternate hypotheses. (b) Find the valuc of the sampic F statistic. (Use 2 decimal places.) What are the degrees of freedom? df dfol

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

What are the degrees of freedom?
dfl
df
What assumptions are you making about the original distribution?
O The populations follow independent normal distributions. We have random samples from each population.
O The populations follow independent chi-square distributions. We have random samples from each population.
O The populations follow independent normal distributions.
O The populations follow dependent normal distributions. We have random samples from each populatlon.
(c) Find or estimate the Pvalue of the sample test statistic. (Use 4 decimal places.)
O p-value > 0.200
O 0.100 < p-value < 0.200
O 0.050 < p-value < 0.100
O 0.020 < p-value < 0.050
O 0.002 < p-value < 0.020
O p-value < 0.002
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are rnot statistically significant.
O At the a =0.05 level, we reject the null hypothesis and conclude the data are statistica
significant.
O At the a =0.05 level, we fail to 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.
(e) Interpret your conclusion in the context of the application.
O Fail to reject the null hypothesis, there is sufficient evidence that the variance in annual wheat production differs between the two plots.
O Reject the null hypothesis, there is insufficient evidence that the variance in annual wheat production differs between the two plots.
O Reject the null hypothesis, there is sufficient evidence that the variance in annual wheat production differs between the two plots.
O Fail to reject the null hypothesis, there is insufficient evidence that the variance in annual wheat production differs between the two plots.
O Tyne here to rearch

MY N
Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows.
6.40
7.03
7.17
6.96
7.31
7.18
7.06
5.79
6.24
5.91
6.14
Use a calculator to verify that, for this plot, the sample variance is s 2 0.317.
Another random sample of years for a second plot gave the following annual wheat production (in pounds).
7.10
7.03
8.15
5.91
7.22 5.58
5.47
5.86
Use a calculator to verify that the sample variance for this plot is s2 0.933,
Test the claim that there is a difference (cither way) in the populatioh variance of wheat straw production for these two plots, Use a 5% level of signifcance.
(a) What is the level of significance?
0.05
State the null and alternate hypotheses.
O H, 0,2 a,2; H0,>0,
O H: a,2 > 0,2; H,: 0, = 0,
O H,i 0, = 0,; H: 0,? > a,2
O H,: 0,- 0,"; H; 0?+0,?
(b) Find the valuc of the sample F statistic. (Use 2 decimal places.)
What are the degrees of freedom?
df
dfol
What assurmpt ions are you making about the original distribution?
O Ihe populations follow Independent normal distritutions. We have random samples from cach population.
O The populations follow Independent chi square distributions, We have ranclom samples from each papulation.
12:49 PM
P Type here to search
18°F AQI 52
7/30/2021
(36)

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