WEBVTT
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and this particular question we have given us that there
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are 3000 institutions and we have taken a sample of
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$400 per foot. So are the leader has been
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given to us. So I want to write it
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down here. The sample size and is 400 schools
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and, uh, the average in Norman him.
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Take expert is giving us 3700 then Understanding division for
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the sample is also given me just six powers of
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500. And, uh, the commission has put
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a give or take off standard error, so that
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standard at all is given as 3 25 on the
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estimate. So I'm going to start with the first
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part here. The question say's that for the first
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part, they have asked that an approximate 68 core
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person of confidence in double for the average enrollment off
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all 3000 institutions from 3375 to 4 to five.
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So meaning to check the statement is true or false
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. So if I start with the explanation now,
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I want to see that, uh, the what
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have you done is that the 60 person off the
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glass and debris for the average in government. What
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? Steven, it wasn't a question for the average
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enrollment off all the 3000 institutions. Eyes running from
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him saying 3375 tau four or five. So therefore
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, I can see that the interval that is given
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to us, which is ah, 3375 to 4025
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is one standard editor away from the average in government
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. Yeah, So I can therefore say that one
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standard error. Oh, God. Response to 68%
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off confidence and double in the normal level. So
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we can therefore see that the statement is don't now
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moving on to the next part for but me.
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The question states that if the status institution takes a
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simple random sample of 400 institutions out of 2000 and
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goes on a standard error either way from the average
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enrollment off, wondered sample schools still be about 60%
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chance off the double, which will cover the everyday
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enrollment off all 3000 schools. So he's supposed to
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check if this is a true or false statement,
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so I can see that it is already Norm you
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found in party that 60% off samples cover the population
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average off endorsement from 3375 to 4 or five.
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So therefore, control that the statement is true.
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Someone who already learned that from party it is known
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waas that 68% off all samples cover the population average
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off a Norman from 3375 to 4025. So therefore
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, I will say that is given statement for the
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parties. Also true moving onto the bar. See
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, the question states that about 60% off the schools
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in the sample had enrollment in this change off 2700
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plus or minus 6500. So you need to check
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if this is a true or false statement. So
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if I start with the park, See, uh
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, we can say again that you know, it's
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already been proved here and Barbie again that 68% off
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schools in the sample had enrollments in the range.
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You can see it's a strong 23375240 Goofier. So
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that means the statement of what they've given his force
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. So we therefore say that, uh, the
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Steve Moon that a boat. 68% with schools in
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the sample had enrollments in the range 3700 plus or
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minus 6500. So we say that this statement is
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false because we've already proved earlier that it is from
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2375 to 4025. Now, will you go on
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to the next part the butt d for the Barbie
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, The question states that it is estimated that 68%
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off the 3000 institutions off higher learning in the U
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. S. S and all between 50,007 dead minds
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Treat my friends, which is 3375 and it's 2700
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plus t 25. So which is for water Firestones
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? So, uh, you want to prove this
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part in but a and that is a double order
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given to us. So we need to again check
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on dhe side effects are true or false statement.
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So we will repeat the same thing that it can
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be said that 60% off the class in trouble for
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the Aborigine woman. All 2000 scores. Isn't that
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angel off 3375. This is the range toe 4000
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and 25. This is given to us already.
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So therefore, women say that it may be correct
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that 60% off. So I'm concluding now that 60%
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off the 3000 institutions also off higher learning in the
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U. S. On gold between, say,
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3700 plus or minus 3 25 students. So that
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means the therefore say that this statement is also true
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. Then we wanted the next part. That's the
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last part for this question. But e we're supposed
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to check the normal cough can be used to figure
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confidence levels. Here are the door because the data
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don't for the normal cope. So Teoh, right
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? My answer on this part I'm saying that the
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statement that the normal cough can be used to figure
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out conference levels as the later for a normal coach
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here and well, you see that the statement is
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falls. So the reason you what is that?
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Uh, when the sample size increases. So in
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this case, the detail approximates toe normal distribution.
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Norman disc um, Yushin. So since I would
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see the sample spice eyes over here is 400 so
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which is, uh, large enough to follow normal
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distribution. That is where we control that. The
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statement. What they've given in the question is for
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us.