Salaries of 44 college graduates who took a statistics course in college have a

Question

Salaries of

44

college graduates who took a statistics course in college have a mean,

x overbarx,

of

$63,300.

Assuming a standard deviation,

sigma,

of

$10,595,

construct a

9090%

confidence interval for estimating the population mean

mu.

Click here to view a t distribution table.

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Click here to view page 1 of the standard normal distribution table.

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Click here to view page 2 of the standard normal distribution table.

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$nothingless than<muless than<$nothing

(Round to the nearest integer as needed.)

Explanation / Answer

Mean is 63300 and s is 10595. for 44 sample size the standard error,SE is s/sqrt(N)=10595/sqrt(44)=1597.26

for 90% confidence, the z value is 1.65

thus lower limit is mean-z*SE =63300-1.65*1597.26=60664.521

upper limit is mean+z*SE =63300+1.65*1597.26=65935.479

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