00:01
Hello students, given that the annual per capita consumption of a milk is 21 .6 units.
00:07
So this is nothing but the national mean, national mean, which is equal to mu is equal to 21 .6.
00:19
Then also given that there is a random sample of 16 individuals, so sample size n is equal to 16 with the sample mean x bar is equal to 24 .1 and standard deviation s is equal to 4 .8.
00:35
And now by using this, we have to develop a hypothesis test that can be used to determine whether the mean annual consumption in the webster city is higher than the national mean.
00:50
That means the null hypothesis h naught is the mean annual consumption mean annual consumption in webster city in webster city is less than or equal to less than or equal to the national mean national mean that is in symbolic form.
01:38
We can write h naught as h naught is nothing but mu is less than or equal to 21 .6 and then the alternative hypothesis is nothing but which is given in the claim, which is h a that is the mean annual consumption in the webster city is higher than higher than the national mean national mean that is in the symbolic form.
02:19
It is the alternative hypothesis h a is mu is greater than 21 .6.
02:26
So this is we want to test then in the second question, we have to calculate the point estimate of the difference between the mean annual consumption in the webster city and the national mean.
02:41
So the point estimate point estimate is given by so this is equal to x bar minus mu and this is equal to 24 .1 minus 21 .6 that is equal to 2 .5.
03:02
So this is the required point estimate of the difference between the mean annual consumption and the national mean and then next we have to give the conclusion by testing the given hypothesis...