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

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.