Create a 85% confidence interval for a population mean from a sample of size 57 with sample mean = 10. The population standard deviation is known to be σ = 3. [three decimal accuracy] [three decimal accuracy]

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Create a 85% confidence interval for a population mean from a sample of size 57 with sample mean = 10.
The population standard deviation is known to be σ = 3.
[three decimal accuracy]
[three decimal accuracy]
)
Transcribed Image Text:Question 12 < Create a 85% confidence interval for a population mean from a sample of size 57 with sample mean = 10. The population standard deviation is known to be σ = 3. [three decimal accuracy] [three decimal accuracy] )
Expert Solution
Step 1: Given data,

G i v e n space d a t a comma

A thin space c o n f i d e n c e space l e v e l colon
C I equals 0.85

A thin space s a m p l e space s i z e colon
n equals 57
A space s a m p l e space m e a n colon
X with bar on top equals 10
A thin space p o p u l a t i o n space s tan a d r d space d e v i a t i o n colon
sigma equals 3

U s e space Z minus t e s t space f o r space k n o w n space p o p u l a t i o n space s tan d a r d space d e v i a t i o n.
W e space h a v e space t o space f i n d space o u t space t h e space C I space f o r space t h e space g i v e n space d a t a.

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