Answer:
30 men
Step-by-step explanation:
In order to be sure that the sample mean does differ from the population mean by more than 0.90, the sample size (n) that should be used is given by:
Where 'Z' , for a 95% probability is 1.960, 's' is the standard deviation of 2.5 inches:
Rounding up to the nearest whole number, the sample size should be at least 30 men.
Answer:
0.7698
Step-by-step explanation:
If you call your random variable , then what you are looking for is
because you want the probability of being <em>between 87 and 123.</em>
We need a table with of the normal distribution. But we can only find the table with and
. Because of that, first we need to <em>normalize </em>our random variable:
(you can always normalize your variable following the same formula!)
now we can do something similar to our limits, to get a better expression:
And we transform our problem to a simpler one:
(see Figure 1)
From our table we can see that (this is represented in figure 2).
Remember that the whole area below the curve is exactly 1. So we can conclude that (because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then
.
FINALLY:
Answer:
See below
Step-by-step explanation: