00:01
Here, sample data is given.
00:04
First, we need to calculate the sample mean.
00:11
The formula is x bar is summation x divided by n, which is equal to 8 .1 plus 11 .6 so on up to 15 .2.
00:24
There are 10 observations, so divided by 10, we get 12 .76 is the sample mean value.
00:33
Next we need to calculate the sample standard deviation.
00:41
The formula is square root of summation x minus x bar the whole square divided by n minus 1.
00:50
Substituting the values, we have 8 .1 minus 12 .76 the whole square plus 11 .6 minus 12 .76 the whole square so on up to 15 .2 minus 12 .76 the whole square divided by 10 minus 1 is 9.
01:12
On simplifying, we get the standard deviation as 2 .7694 is the standard deviation value.
01:23
In part 3, we need to calculate, sorry, we need to test the hypothesis h naught mu less than or equal to 12.
01:34
Alternative is mu greater than 12.
01:38
Alternative is the claim and this is right tail test since the alternative consists of greater than symbol.
01:49
Here, n value is 10.
01:51
So, degrees of freedom is calculated as n minus 1, which is 10 minus 1 equal to 9...