Calculate a 99 % confidence interval for μ for each of the following situations:

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A random sample of n measurements was selected from a population with standard deviation σ=12.1 and unknown mean μ. Calculate a 99 % confidence interval for μ for each of the following situations:

 

(a) n = 70, x = 93.7
η=
(b) n = 100, x = 93.7
(c) n = 115, x = 93.7
t=
...
...
...
---
TT
...
---
...
---
<μ<
<μ<
<μ<
●▬●
---
●▬●
●
---
---
Transcribed Image Text:(a) n = 70, x = 93.7 η= (b) n = 100, x = 93.7 (c) n = 115, x = 93.7 t= ... ... ... --- TT ... --- ... --- <μ< <μ< <μ< ●▬● --- ●▬● ● --- ---
Expert Solution
Step 1: Determine the given data in the question

Let mu be the population mean.

Given that,

Population standard deviation left parenthesis sigma right parenthesis equals 12.1

Confidence level

 left parenthesis C right parenthesis equals 99 percent sign equals 0.99

alpha equals 1 minus C
equals 1 minus 0.99
equals 0.01
1 minus alpha over 2 equals 1 minus fraction numerator 0.01 over denominator 2 end fraction equals 0.995





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