Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Use this to answer all parts. Part 1: What was the point estimate used to estimate the mean height of all adult males in Idaho?

The confidence interval on this case is given by:

(1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

represent the sample mean  

population mean (variable of interest)  

represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

The confidence interval on this case is given by:

(1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

So then the mean for this case is 69.505

c is the correct answer

step-by-step explanation: