00:01
Hello, friend in this question, we can found the sample mean by adding all the observation and dividing by the number of observation that is 31 plus 29 plus 30 plus 29 plus 30 plus 34 plus 27 and this whole term divided by 7 and from here we get sample mean as 30.
00:45
So, the sample mean is given as 30.
00:53
Now, we will calculate the standard deviation it is given by the square root of summation observation minus its mean whole square divided by the number of observation.
01:11
Now, let us plug in all the values and get the standard deviation.
01:18
So, standard deviation is given by square root of 31 minus 30 whole square plus 29 minus 30 whole square up to 27 minus 30 whole square divided by the number of observation and that is from here we get the standard deviation as value as 2 .94.
02:12
Now, we will calculate the tg statistics.
02:21
So, t statistics is given as x bar minus mu upon sample deviation divided by the square root of population size that is n.
02:40
So, let us plug in all the values...