00:01
From the given information, population mean is mu equal to 50 ,000 words.
00:10
Here, the null hypothesis is average novel is at least 50 ,000, that is h0 such that mu less than are equal to 50 ,000 words.
00:31
Alternative hypothesis is h1 such that mu greater than 50 ,000.
00:41
Here the direction of alternative hypothesis is greater than.
00:46
So the test is right tell test.
00:52
To find the critical value, we need t distribution table.
00:59
Here the sample number of observation is 6.
01:04
This degrees of freedom is 6 minus 1 equal to 5.
01:10
And given alpha level is 0 .05.
01:16
In row 5 and 5 % level of significance, the value of the critical value is 2 .015.
01:28
Thus, critical value is 2 .015.
01:37
To find the test statistic value, first we have to find sample mean of the observations.
01:44
The observations are given as there are total.
01:50
The total 6 observations we have.
01:55
The sample mean is calculated as x bar equal to summation of observations divided by total number of observations.
02:05
That is 50 ,852 plus 50 ,290 plus 50 ,000 513 plus 50 ,513 plus 51 ,000 513 plus 51 ,000...