00:01
Hi everyone, welcome to the questions.
00:03
On this question, they have given us that the sample main x bar is 182 .7.
00:07
Sample standard deviation is 2 .7 yards.
00:11
N is equal to 6.
00:12
Now we have to find subdivision a at 5 % significance level.
00:17
Do the data provide sufficient evidence to conclude that the club does what the goal for once? b, repeat part a for a test at the 1 % significance level.
00:29
So first let's do part a.
00:33
So first let's do our null hypothesis and our alternative hypothesis.
00:39
So null hypothesis is that h0 is mu is equal to 180.
00:48
And alternative alternative hypothesis, h -a is, mu is greater than 180.
01:01
So our test statistic is here.
01:08
P is equal to x bar minus mu divided by s divided by square root of m so we're just going to substitute the values for t so t is equal to x bar is 182 .7 mu is 180.
01:25
All these are given the equations divided by 2 .7 square root of 6.
01:31
So if we get 2 .7 divided by 2 .7 multiplied by square root of 6 which is 2 .4.
01:38
449.
01:39
This gets cancelled.
01:40
Okay...