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A simple random sample of n (shown on right) observations from a normally distri

ID: 3336184 • Letter: A

Question

A simple random sample of n (shown on right) observations from a normally distributed population with a known standard deviation of (shown on right), compute the margin of error with (1 - )100% confidence ( shown on right) associated with a two tailed confidence interval. ROUND THE t or Z STATISTIC OFF TO 2 DECIMAL PLACES [1.645 rounds off to 1.64]

n =

16

=

2

=

0.05

a.

0.25

0.980

b.

0.98

c.

0.82

d.

0.21

e.

none

A simple random sample of n (shown on right) observations from a normally distributed population with a known standard deviation of (shown on right), compute the margin of error with (1 - )100% confidence ( shown on right) associated with a two tailed confidence interval. ROUND THE t or Z STATISTIC OFF TO 2 DECIMAL PLACES [1.645 rounds off to 1.64]

n =

16

=

2

=

0.05

a.

0.25

0.980

b.

0.98

c.

0.82

d.

0.21

e.

none

Explanation / Answer

Solution:- option C. 0.82

Explanation: - n = 16, =2,

E = Z*( /sqrtn)

= 1.64*(2/sqrt2)

= 0.82

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