A sample of size

=

n

82

is drawn from a population whose standard deviation is=

29

.

Part 1 of 2

(a) Find the margin of error for a

90

%

confidence interval for

. Round the answer to at least three decimal places.The margin of error for a90

%

confidence interval for

is

.

Part 2 of 2

(b) If the confidence level were

95

%

, would the margin of error be larger or smaller?

(Choose one)

, because the confidence level is

(Choose one)

.