00:01
Hello students, according to the given question, the null hypothesis can be written as h0 such that u is equal to 520 and the alternative hypothesis h1 such that u is greater than 520.
00:17
So here the population mean, population mean that is u will be equal to 520 and the sample mean that is is x will be equal to 5307 .1 so by doing the given data as the sum of squares divided with total number of squares.
00:48
So here's the standard deviation that is sigma will be equal to 20 .7013.
00:57
Here number that is n is 10.
01:01
So the test statistic will be p will be equal to 10.
01:05
The value x minus u is divided by sigma by root n.
01:12
So by substituting we get which is equal to 537 .1 minus 520 is divided by 20 .7013 is divided by square root of 10.
01:29
So by solving it we get to 0 .612.
01:32
Therefore, t value will be 2 .612.
01:38
Now the critical value, that is t alpha with n minus 1 degrees of freedom, will be equal to 1 .833.
01:48
So we got t value, that is t statistic value, that is 2 .612, and the t alpha critical value will be 1 .833.
02:00
So, coming to the decision, hence the decision...