(b) Test for whether or not the mean CO is significantly different in the two types of working environments. (Use α = 0.05.) State the null and alternative hypotheses (in ppm). (Enter != for as needed.). Ho: на: Find the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Fail to reject Ho. There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Reject Ho. There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Fail to reject Ho. There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
icon
Related questions
Question
Need help in part B
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of equal size but different soil/fertilizer
conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. For a random sample of years,
one plot gave the following annual wheat production (in pounds).
4.26 3.78 4.08 3.63 4.05 3.79 4.09 4.42
3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39
Verify that, for this plot, the sample variance is s² ≈ 0.311110.
Another random sample of years for a second plot gave the following annual wheat production (in pounds).
3.64 3.61 3.46 3.79 4.00 3.72 4.13 4.01
3.59 4.29 3.78 3.19 3.84 3.91 3.66 4.35
Verify that the sample variance for this plot is s² = 0.091166.
Test if there is a significant difference in the population variances of annual wheat production for the first plot versus the second plot. Use a 5% level of
significance.
(a) What is the level of significance?
0.05
State the null and alternate hypotheses.
OH: 0₁₂2=0₂
: 0₂²; H₂:
2
OH: 0₁ #
12:0₁ ² #02
0₂
Ha = 0,₁²
: 0₂²; H₂:
2
0₁²; H₂ : 0₂²
= 0₂²; H ₂ : 0 ₁ ² > 0₂²
OH: 0₂² 0₁²
Ho₂:
Transcribed Image Text:Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. For a random sample of years, one plot gave the following annual wheat production (in pounds). 4.26 3.78 4.08 3.63 4.05 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Verify that, for this plot, the sample variance is s² ≈ 0.311110. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 3.64 3.61 3.46 3.79 4.00 3.72 4.13 4.01 3.59 4.29 3.78 3.19 3.84 3.91 3.66 4.35 Verify that the sample variance for this plot is s² = 0.091166. Test if there is a significant difference in the population variances of annual wheat production for the first plot versus the second plot. Use a 5% level of significance. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. OH: 0₁₂2=0₂ : 0₂²; H₂: 2 OH: 0₁ # 12:0₁ ² #02 0₂ Ha = 0,₁² : 0₂²; H₂: 2 0₁²; H₂ : 0₂² = 0₂²; H ₂ : 0 ₁ ² > 0₂² OH: 0₂² 0₁² Ho₂:
(b) Test for whether or not the mean CO is significantly different in the two types of working environments. (Use α = 0.05.)
State the null and alternative hypotheses (in ppm). (Enter != for as needed.)
Ho:
H₂:
Find the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject Ho. There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
O Fail to reject Ho. There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
O Reject Ho. There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
O Fail to reject Ho. There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
Transcribed Image Text:(b) Test for whether or not the mean CO is significantly different in the two types of working environments. (Use α = 0.05.) State the null and alternative hypotheses (in ppm). (Enter != for as needed.) Ho: H₂: Find the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Fail to reject Ho. There is insufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Reject Ho. There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments. O Fail to reject Ho. There is sufficient evidence to conclude that the mean CO is significantly different in the two types of working environments.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 10 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill