00:01
Hello students, here in the question we want to test the null hypothesis h0 such that mu greater than or equal to 20 against the alternative hypothesis such that mu less than 20.
00:13
Given sample size n is equal to 49, sample mean x bar is equal to 19 .8, population standard deviation sigma is equal to 2.
00:24
Now in a part of the question we want to find the test statistic.
00:28
The equation for the test statistic is z is equal to x bar minus mu divided by sigma by root n.
00:39
Now let's substitute the given values to the equation of z, we will get it as 19 .8 minus 20 divided by 2 by sigma 49.
00:56
On simplifying we will get the value of test statistic as z is equal to minus 0 .700.
01:09
Now in b part of the question we want to find the corresponding p value.
01:19
P value at alpha is equal to 0 .05 and z is equal to minus 0 .700 is 0 .2420 by using the z table.
01:45
Now in c part of the question here p value is greater than alpha 0 .2420 is greater than 0 .05 that is p value is greater than alpha...
