Round all intermediate calculations to at least 4 decimal places.) Consider the

Question

Round all intermediate calculations to at least 4 decimal places.) Consider the following measures based on independently drawn samples from normally distributed populations: Use Table 4 Sample 1: sf 232, and n 11 Sample 2: s 210, and n2 9 a. Construct the 95% interval estimate for the ratio of the population variances. (Round "F' value and final answers to 2 decimal places.) Confidence interval tos b. Using the confidence interval from Part a, test if the ratio of the population variances differs from one at the 5% significance level. Explain. he 95% confidence interval (Click to select) the value 1 . Thus, we (Click to select conclude that the population variances differ at the 5% significance level

Explanation / Answer

Test and CI for Two Variances

Method

Null hypothesis         (First) / (Second) = 1
Alternative hypothesis (First) / (Second) 1
Significance level      = 0.05

F method was used. This method is accurate for normal data only.

Statistics

                                 95% CI for
Sample   N   StDev Variance       StDevs
First   11 15.232   232.000 (10.643, 26.730)
Second   9 14.491   210.000 ( 9.788, 27.762)

Ratio of standard deviations = 1.051
Ratio of variances = 1.105

95% Confidence Intervals

                            CI for
         CI for StDev      Variance
Method       Ratio           Ratio
F       (0.507, 2.064) (0.257, 4.259)

Tests

                       Test
Method DF1 DF2 Statistic P-Value
F        10    8       1.10    0.905

a)

Test and CI for Two Variances

Method

Null hypothesis         (First) / (Second) = 1
Alternative hypothesis (First) / (Second) 1
Significance level      = 0.05

F method was used. This method is accurate for normal data only.

Statistics

                                 95% CI for
Sample   N   StDev Variance       StDevs
First   11 15.232   232.000 (10.643, 26.730)
Second   9 14.491   210.000 ( 9.788, 27.762)

Ratio of standard deviations = 1.051
Ratio of variances = 1.105

95% Confidence Intervals

                            CI for
         CI for StDev      Variance
Method       Ratio           Ratio
F       (0.507, 2.064) (0.257, 4.259)

Tests

                       Test
Method DF1 DF2 Statistic P-Value
F        10    8       1.10    0.905

a)

(0.257, 4.259)

b)

contains, fail to reject

Please rate

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

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