Question

Asked Oct 7, 2019

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Find two z values, one positive and one negative, that are equidistant from the mean so that the area in the two tails add up to the following values:

a. 5%

b. 10%

c. 1%

Step 1

**Introduction:**

The 100 (1 – *α*) % confidence interval for the population mean for given population standard deviation, *σ* is: (*x̅* – (*zα*/2) (*σ/√n*), *x̅* + (*zα*/2) (*σ/√n*)).

Here, *n* is the sample size, *x̅* is the sample mean, and *zα*/2 is the critical value of the normal distribution, above which, 100 (*α*/2) % or *α*/2 proportion of the observations lie.

Note that, the 100 (1 – *α***)** % confidence interval implies that 100 (1 – *α*) % of the observations lie within the interval. So, 100*α *% observations lie outside of the interval. This implies that 100 (*α*/2) % of the observations will lie below the lower limit of the interval, while 100 (*α*/2) % will lie above its upper l...

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