Which one of the following is NOT a condition for inference comparing two means? both populations are Normally distributed the two sample sizes must be equal populations must be distinct independent simple random samples from two populations

Dillard 2021-02-11 Answered
Which one of the following is NOT a condition for inference comparing two means? both populations are Normally distributed the two sample sizes must be equal populations must be distinct independent simple random samples from two populations
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gwibdaithq
Answered 2021-02-12 Author has 84 answers
It is not necessary while comparing two means that the two sample sizes must be equal.
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Confidence interval; exponential distribution (normal or student approximation?)
Let's say we have got a sample of size n from an exponential distribution with an unknown mean λ.
We want to construct a confidence interval and so we can compare this:
XλS2n
to a student t-distribution with n1 degrees of freedom.
However, as in the case of the exponential distribution, we know that Var[X]=(E[X])2, so rather than introducing an estimator for variance, we can simply use one estimator, i.e:
XλX2n.
And now the question is:
Do we compare this statistic with normal distribution or again with student t-distribution?

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