00:01
Hello students, a standardized test is given to the 8th grade class and the 11th grade class.
00:08
The superintendent believes that variance in the performance from the 8th grade class is similar than the variance in the performance from the 11th grade class.
00:17
To test h0, sigma1 square equals to sigma2 square versus h1, sigma1 square is not equals to sigma2 square.
00:32
The sample variance of the sample of the 4 test score given, n1 equal to 4 and sample variance s1 square is equal to 22 .72 and n2 equal to sample variance of the sample of 14 test and s2 square is equal to 26 .36 using a claim at 0 .025 level of significance.
01:06
Now, we have to compute this test statistics.
01:13
Test statistics for this test is given by and instead of two tail, we have to perform here a one tail which is a left tail because the superintendent believes that 8th grade class is smaller than the variance in performance from the 11th grade class.
01:40
This is the first sample is related with the 8th grade class and second sample is related with the 11th grade class.
01:48
Then test statistics is given by f is equal to s2 square upon s1 square.
01:57
The value of s2 square is s1 square is already known.
02:00
Put here, we get the value of f statistics which is a 1 .16021 and we have to round up it up to the four decimal places...