Consider the class average in an exam in a few different settings. In all cases, assume...

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Statistics

Consider the class average in an exam in a few differentsettings. In all cases, assume that we have a large classconsisting of equally well-prepared students. Think about theassumptions behind the central limit theorem, and choose the mostappropriate response under the given description of the differentsettings.
1. Consider the class average in an exam of a fixeddifficulty.
a) The class average is approximately normal
b) The class average is not approximately normal because thestudent scores are strongly dependent
c) The class average is not approximately normal because thestudent scores are not identically distributed
2. Consider the class average in an exam that is equally likelyto be very easy or very hard.
a) The class average is approximately normal
b) The class average is not approximately normal because thestudent scores are strongly dependent
c) The class average is not approximately normal because thestudent scores are not identically distributed
3. Consider the class average if the class is split into twoequal-size sections. One section gets an easy exam and the othersection gets a hard exam.
a) The class average is approximately normal
b) The class average is not approximately normal because thestudent scores are strongly dependent
c) The class average is not approximately normal because thestudent scores are not identically distributed
4. Consider the class average if every student is (randomly andindependently) given either an easy or a hard exam.
a) The class average is approximately normal
b) The class average is not approximately normal because thestudent scores are strongly dependent
c) The class average is not approximately normal because thestudent scores are not identically distributed

Answer & Explanation Solved by verified expert

3.9 Ratings (508 Votes)

Answer 1 The class average is approximately normal Here we are given 1 Since students are equally wellprepared 2 The difficulty level is fixed So the only chance of error or randomness in scores may arise due to silly or accidental mistakes of the students This can be thus attributed as Random Error so we See Answer

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