00:01
Hello students, one of the most important features of the laser printers in the number of the pages that can be printed per minute.
00:07
The average pages printed per minute of 15, then n1 equals to 15.
00:13
Randomly selected brand a laser printer was 25 pages, then x1 bar equal to 25 pages.
00:21
And standard deviation s1 is equal to 2 .5 pages.
00:26
A random sample of 15 brand 2, n2 equal to 15.
00:32
And the b laser printers produce the average of 18 pages, x2 bar equal to 18.
00:39
With a standard deviation of 1 .7, s2 equals to 1 .75.
00:47
Now, assume that the number of pages per minute is approximately normally distributed and the population variance of the two brands are the same.
00:56
Then you have to calculate here a pooled variance.
00:59
If there is evidence to conclude that brand a can print more pages per minute than brand a and test at level 10%, level of significance alpha equal to 10%, that is 0 .1.
01:11
Then to test h0, show both brands print same pages per minute versus alternative hypothesis saying brand a can print more pages per minute than brand b.
02:01
Now, test statistics is for this test is given by a is equal to x1 bar minus x2 bar divided by sp into under root of 1 upon n1 plus 1 upon n2.
02:22
Where sp is the pooled estimated variance...