Variances-population means and paired

Reference no: EM1315469

Hypothesis testing for difference between variances, population means and paired.

Five samples of a ferrous-type substance are to be used to determine if there is a difference between a laboratory chemical analyses and X-ray fluorescent analysis of the iron content. Each sample was split into two subsamples and the two types were applied. Following are the coded data showing the iron content analysis.

Sample
Analysis	1	2	3	4	5
X-ray (B)	2.0	2.0	2.3	2.1	2.4
Chemical (A)	2.2	1.9	2.5	2.3	2.4

Assuming the measurement system has a normal distribution, test thetwo-sided test of hypothesis for
a) H₀: σ_A² = σ_B² at α =0.05,

b) H₀: μ_B-μ_A= 28% at α =0.1

c) Suppose it is desired to test the hypothesis that the differences rather than the individual measurement are of importance, (that is D=B-A, that is: μ_D= μ_B-μ_A), then let:

H₀: μ_D=10%,
H₁: μ_D < 10%

Test the hypothesis. Will you reject or not reject the null hypothesis at α = 0.05

Reference no: EM1315469

Questions Cloud

How much profit or loss can the manager expect to earn : Given the optimal output in c, Elucidate how much profit (or loss) can the manager of Ever Klein Pool Services expect to earn?

Reason for bonus program in company : Is this type of bonus structure in the interest of the company? Use theoretical and graphical insights from chapter five of the textbook to explain your reasoning.

Wda wireless device application business models : Write down a 2.5 - 3 page paper comparing the WDA wireless device application business models utilized by Sprint, Verizon, and AT&T Wireless.

Computing the mean and median mileages : Each vehicle had the gallon of gas added to the empty tank and then driven until empty. Number of miles travelled for all twelve readings are below. Use data to compute the mean and median mileages.

Variances-population means and paired : Test the hypothesis. Will you reject or not reject the null hypothesis at α = 0.05

Additional revenue circuit city makes as it moves : Compare the additional revenue Circuit City makes as it moves from 2 million to 4 million copies of Vista with the additional revenue it makes as it moves.

Solve the given equation : Solve the given equation on the interval 0 ≤ θ ≤ 2π.

Short description on credit risk analysis of the bond : Short Description on Credit risk analysis of the different bonds and explain why you would pay more or less for their bonds

What has presidents immediately under the principles : Illustrate what has presidents immediately under the principles of immediate wants of the nation also mandate from the people.

User Account

All Pages