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belka [17]
3 years ago
5

Statistics??? Construct a 95% confidence interval for the population mean. Assume the population has a normal distribution. A sa

mple of 20 college students had mean annual earnings of $3120 with a standard deviation of $677.
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
6 0
Given:
μ = $3120, population mean
σ = $677, population standard deviation.
The population is normally distributed.
n = 20, sample size.

At the 95% confidence level, the confidence interval is
( \mu - 1.96\frac{\sigma}{ \sqrt{n} }  ,\, \mu + 1.96\frac{\sigma}{ \sqrt{n} })

1.96(σ/√n) = 1.96(677/√20) = 296.71
Th confidence interval for the mean is
($2823.29, $3416.71)

Answer: ($2823.29, $3416.71)

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