#2 A laboratory technician wants to compare the breaking strength of three kinds
ID: 3263720 • Letter: #
Question
#2 A laboratory technician wants to compare the breaking strength of three kinds of thread, and originally he planned to repeat each determination six times. Not having enough time, however, he has to base his analysis on the ollowing results (in ounces) Thread 1: 18.0, 164, 15.7, 19.6, 16.5 18.2 Thread 2: 21.1, 17.8, 18.6, 20.8, 17.9, 19.0 Thread 3: 16.5, 17.8, 16.1 Use the following table to perform an analysis of variance to test at the 0.05 level of significance whether the differences among the sample means are significant Sum of Squares Mean Square Values of the Source of Degrees of Variation freedom Treatment Variance Test Statistic F 3-1 15.12 Error g I1 Total 37.46 a) Find the missing values and complete the ANOVA table. Specify the null and alternative hypotheses to investigate whether a difference exists among the treatment means. b) He·"At least tuvo meatern ent means differ c) Give the rejection region for this test. Use.01 C .ol , 2. I2). c.q2t d) what is the critical value of F for = .01 ?Explanation / Answer
d) The critical value of F for (2,12) df and at 1% level of significance is 6.93
e) The calculated value of test statistic F = 4.060
f) Since calculated value of F is less than the critical value of F at 1% level of significance , we Fail to reject Null Hypothesis
g) Since we accept the null hypothesis , therefore concluded that the means of three populations are equal.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.