# Using the Excel sheet for Cons

Using the Excel sheet for Constructing Confidence Intervals,answer the following questions.

1.   Construct a 90% confidence interval for the truemean of a normal population if a random sample size of 40 from thepopulation yields a sample mean of 75 and the population has astandard deviation of 5.

Lower limit: ______________     upper limit:______________

2. A random sample, consisting of the values listed below, wastaken from a normally distributed population. Assuming the standarddeviation of the population is unknown, construct a 99% confidenceinterval for the population mean.

 Table for 2 27.4 26.5 25.7 31.4 28.2 21.9 16.3 22.7 18.8 34.4 29.2 20.5

Lower limit: ______________     upper limit:______________

1)

Sample size = n = 40

Sample mean = = 75

Population standard deviation = = 5

We have to construct 90% confidenc interval for the populationmean.

Here population standard deviation is known so we have to useone sample z-confidence interval.

z confidence interval

Here E is a margin of error

Zc = 1.645   ( Using z table)

So confidence interval is ( 75 – 1.3004 , 75 + 1.3004) = >( 73.6996 , 76.3004)

Using excel

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