Answer:
By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Sample mean was $6,425 with a standard deviation of $3,156
This means that ![\mu = 6425, \sigma = 3156](https://tex.z-dn.net/?f=%5Cmu%20%3D%206425%2C%20%5Csigma%20%3D%203156)
Sample of 84:
This means that ![n = 84, s = \frac{3156}{\sqrt{84}} = 344.35](https://tex.z-dn.net/?f=n%20%3D%2084%2C%20s%20%3D%20%5Cfrac%7B3156%7D%7B%5Csqrt%7B84%7D%7D%20%3D%20344.35)
a. Which distribution should you use for this problem?
By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.
Answer: x-100 < 115
Step-by-step explanation: X is less then 215
A would be the correct answer because he needs to save a little over $13k in 12 months
The answer is 2. Because let a=32 1/5 then it would be a^5 = 32
2•2•2•2•2=2^5= 32
a=2