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Why do population means require the use of the T score? Why are there 2 equations...

  1. Why do population means require the use of the T score?
  2. Why are there 2 equations to determine a sample size of a proportion? Explain
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Answer #1

SOLUTION:

From given data,

Why do population means require the use of the T score

When sample size less than 30 and population standard deviation are unknown then use confidence interval by t.

we can use here formula,

Why are there 2 equations to determine a sample size of a proportion? Explain

Since confidence interval for population is

Now ,

Margin of error (E) =

By squaring on both sides ,

There is no need of 2 equations to determine a sample size of a proportion

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