Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Eng Stat II 2104254 Ex: Stocks The closing prices of two common stocks were reco

ID: 3049661 • Letter: E

Question

Eng Stat II 2104254 Ex: Stocks The closing prices of two common stocks were recorded for a period of 15 days. The means and variances are anon -, =42.54 x, = 40.33 s, = 1.54 RAO? = 2.96 .Do these data present sufficient evidence to indicate a difference between the variability of the closing prices of the two stocks for the populations associated with the two sample? Give the p-value for the test and interpret its value. (Ans. p- value = 0.20) ·Construct a 99% confidence interval for the rtio of the two population variances. (Ans. (0.452, 8.1685) -2.56 hhh

Explanation / Answer

Using minitab

Test and CI for Two Variances

Method

Null hypothesis (First) / (Second) = 1
Alternative hypothesis (First) / (Second) 1
Significance level = 0.01

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


Statistics

99% CI for
Sample N StDev Variance StDevs
First 15 1.241 1.540 (0.830, 2.300)
Second 15 1.720 2.960 (1.150, 3.189)

Ratio of standard deviations = 0.721
Ratio of variances = 0.520


99% Confidence Intervals

CI for
CI for StDev Variance
Method Ratio Ratio
F (0.348, 1.496) (0.121, 2.237)


Tests

Test
Method DF1 DF2 Statistic P-Value

F 14 14 0.52 0.234

I am using minitab as well as formulA But answer are not matching my answer is

for a) p-value =0.234

b) 99% confidence interval = (0.121, 2.237)