a researcher wants to know the intelligence of students in a school. he selected two groups of students. in the first group there are 150 students having mean iq of 75 with a s.d of 15 and in the second group there are 250 students having mean lQ of 70 with s.d of 20. test at 1% level of significance whether the groups are taken from same population
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Answer:
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Step-by-step explanation:
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Video Transcript
So if you're unlucky 111212 50 Export 1 to be 75 It's 1 to 15 And 2- 2 50. Thanks Juba to be 70. That's 2- 20. 0.01. So I'll know hypothesis. A smooth one is equal to Me too. The alternative is swimming what is not equal to Me too. So this is that we do a test. So I just started with this X one family X two. But what do you mean? Which
of us? One square anyway Plus is two squared. So we catch 25 Marinas 70 and then right 15 squared over 150 breaths 20 squared 2 50. and this gives us 2.84 to the p value we got to do is the probability of See you later than 2.84. So you guys are brain stairs are right. The grandparents, 0.005 to offer our zone ceremony. You can see P value is less than alpha. So we have to have to reject no hypothesis and therefore complete that. Mhm. The two groups have have come from different populations when we come to the second part. Next one, But it is 78. This one is that everyone is steady. Next tuba is 78 that's two is 13 And two is 17. How far is their opening 75. So the null hypothesis is mean one is you've got to Me too. The alternative is mineral is not equal to me too. To our test statistic which is X power. So I guess I need to eat minus 78 over. There we go. 10 x squared over 30 plus. That seems quite facility. And this gives us zero. Superior Valley Will be two times the probability of T greater than zero. It gives us a little point tonight. Night. Amen 0.999. Without observed point everyone. Can I see that the reality is created? Should we feel to reject and no hypothetical and conclude that we have sufficient evidence to support the claim