00:01
Here we have to check whether but does the box plot suggest about the status of the specification for true average voting weight? from the box plot it can be observed that the main value, that is the middle line of the box plot is somewhere near 205 or 206.
00:25
Hence the true average weight will be different from 200 lb per 5th.
00:32
The correct answer is it appears that the true average weight could be significantly off from the production specification of 200 lp per pipe.
00:45
It appears that the true average weight could be significantly off from the production specification of 200 lb per pipe.
01:47
Part b, here we have to identify the null and alternative hypothesis for the test.
01:58
It is tested that whether the true average weight is different from 200 lb or not.
02:05
Hence, the null hypothesis is h0, mu, equal to 200 and we will check whether it is significantly different, that is h1.
02:18
Alternative hypothesis mu equal to not equal to 200.
02:23
Hence the null hypothesis is h0, mu equal to 200 against the alternative hypothesis h1 or ha mu not equal to 200.
02:35
Option a is correct.
02:37
Path c, we have to identify the test statistic and the p value.
02:44
From the given information, it is known that the sample size, n is equal to 13, the sample mean x bar is 2 .06 .8, mu, equal to 200 and s equal to 6 .35.
03:07
The test statistic is given as t is equal to x bar minus mu by s by square root of n.
03:19
Here, t test statistic is used since the population standard deviation is unknown.
03:25
That is, this is equal to 206 .8 1 minus 200 divided by 6 .35 by square root of 30.
03:42
This is equal to 5 .87...