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in order to estimate the # of calls to expect at a new suicide hotline, volunteers...

in order to estimate the # of calls to expect at a new suicide hotline, volunteers contact a random sample of 35 similar hotlines across the nation and find that the sample mean is 42.0 calls per month. Construct a 95% confidence interval for the mean # of calls per month. assume that the population standard deviation is known to be 6.5 calls per month.

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This is given by the following formula:

Xbar +/- Z*Stdev/sqrt(n)

We know the values in the formula , Also:

The Z for 95% CI is 1.96. So, we use this below:

= 42 +/- 1.96*6.5/sqrt(35)

= 39.847 to 44.153

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