Question

Exercise 11-29 Algo Consider the following competing hypotheses and relevant summary statistics: (You may find it useful to reference the appropriate table: chi-square table or F table) Ho: oſ /oz 21 HA: 01/03 <1 Sample 1: si = 1,391, and n1 = 14 Sample 2: s2 = 1,484, and n2 = 21 a. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic

Answer 1

Answer: For the given hypotheses, H0:
q;/;
>= 1 vs Ha:
q;/;
< 1, we have our test statistic as--

F = s₁² / s₂² where s1 and s2 are the sample standard deviations.

then the value of test statistic comes out to be F = (1391/1484) = 0.937 (rounded to 3 decimal places).