00:01
In this question, it is given that the sample size n equals 16, the sample mean x bar equals 4 ,450, the population mean mu equals 4 ,500, the sample standard deviation s equals 115, and level of significance alpha equals 0 .05.
00:28
So here we want to test whether the mean strength of the drop is less than 4 ,500 kg.
00:39
So according to this claim, the null hypothesis h0 is such that mu equals 4 ,500 and alternate hypothesis h1 is such that mu is less than 4 ,500.
01:00
So the test statistic t equals x bar minus mu divided by s divided by root n.
01:11
This is equals 4 ,450 minus 4 ,500 divided by 115 divided by root 16, which is equals minus 1 .739.
01:29
So the calculated test statistic t equal minus 1 .739.
01:36
Next we have to find the corresponding p value using the excel equations...