Two different analytical tests can be used to determine the impurity level in st

Question

Two different analytical tests can be used to determine the impurity level in steel alloys. Five specimens are tested using both procedures, and the results are shown in the following tabulation. (a) is there sufficient evidence to conclude that tests differ in the mean impurity level, using alpha = 0.01? (b) Is there evidence to support the claim that test 1 generates a mean difference 0.1 units lower than test 2? Use alpha = 0.05 (c) If the mean from test 1 is 0.1 less than the mean from test 2, it is important to detect this with probability at least 0.90. Was the use of five alloys an adequate sample size? If not, how many alloys should have been used?

Explanation / Answer

Two-Sample T-Test and CI: test 1, test 2

Method

Equal variances are not assumed for this analysis.

Descriptive Statistics

Estimation for Difference

Test

a) since p-value = 0.325 > 0.01

we fail to reject the null

b)

Two-Sample T-Test and CI: test 1, test 2

Method

Equal variances are not assumed for this analysis.

Descriptive Statistics

Estimation for Difference

Test

sine p-value = 0.064 > 0.05 ,we fail to reject the null

: mean of test 1 µ: mean of test 2 Difference: - µ

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.