Question
In: Statistics and Probability
From a sample of 36 graduate students, the mean number of months of work experience prior...
From a sample of 36 graduate students, the mean number of months of work experience prior to entering an MBA program was 36.95. The national standard deviation is known to be 19 months. What is a 95% confidence interval for the population mean? A 95% confidence interval for the population mean is left bracket nothing comma nothing right bracket . (Use ascending order. Round to two decimal places as needed.)
Solutions
Expert Solution
Solution :
Given that,
Point estimate = sample mean = 
= 36.95
Population standard deviation = 
=19
Sample size n =36
At 95% confidence level the z is ,
= 1 - 95% = 1 - 0.95 = 0.05
/ 2 = 0.05 / 2 = 0.025
Z/2
= Z0.025 = 1.96 ( Using z table )
Margin of error = E = Z/2
* ( 
/
= 1.96 * ( 19/
=6.21
At 95% confidence interval
is,
- E < 
<
+ E
36.95 - 6.21 <
< 36.95+ 6.21
(30.74 ,43.16)
orchestra answered 2 years agoRelated Solutions
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