Question

A simple random sample of 10 observations is derived from a
normally distributed population with a known standard deviation of
2.1. **[Use Excel instead of the** z
table**.]
a.** Is the condition that X−X− is normally distributed
satisfied?

_Yes

_No

**b.** Compute the margin of error with 99%
confidence. **(Round intermediate calculations to at least 4
decimal places. Round " z" value to 3 decimal places and
final answer to 2 decimal places.)**

**c.** Compute the margin of error with 95%
confidence. **(Round intermediate calculations to at least 4
decimal places. Round " z" value to 3 decimal places and
final answer to 2 decimal places.)**

_The margin of error with 99% confidence.

_The margin of error with 95% confidence.

Answer #1

Solution :

(a)

Yes

(b)

Z_{/2}
= 2.576

Margin of error = E = Z_{/2}*
(
/n)

= 2.576 * (2.1 / 10)

= 1.71

(c)

Z_{/2}
= 1.96

Margin of error = E = Z_{/2}*
(
/n)

= 1.96 * (2.1 / 10)

= 1.30

(d)

The margin of error with 99% confidence.

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