Answer:
Follows are the solution to this question:
Step-by-step explanation:
the confidence level for z:
![= 1 - 0.95 \\\\ = 0.05](https://tex.z-dn.net/?f=%3D%201%20-%200.95%20%5C%5C%5C%5C%20%20%20%20%20%20%20%20%3D%200.05)
![\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\\to Z \ \frac{\alpha}{2} = Z_{0.025} = 1.96](https://tex.z-dn.net/?f=%5Cto%20%5Cfrac%7B%5Calpha%7D%7B2%7D%20%3D%20%5Cfrac%7B0.05%7D%7B2%7D%20%3D%200.025%5C%5C%5C%5C%5C%5Cto%20Z%20%5C%20%20%5Cfrac%7B%5Calpha%7D%7B2%7D%20%3D%20Z_%7B0.025%7D%20%3D%201.96)
Calculating the Margin of error:
![E = Z\ \frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})](https://tex.z-dn.net/?f=E%20%3D%20%20%20Z%5C%20%20%5Cfrac%7B%5Calpha%7D%7B2%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%29)
![= 1.96 \times ( \frac{5000}{\sqrt{\sqrt{100}}})\\\\= 980](https://tex.z-dn.net/?f=%3D%201.96%20%5Ctimes%20%28%20%5Cfrac%7B5000%7D%7B%5Csqrt%7B%5Csqrt%7B100%7D%7D%7D%29%5C%5C%5C%5C%3D%20980)
The population means estimate a 95 % confidence interval is:
![\to \bar{x} \frac{+}{-} E\\\\ = \$ 90000 \frac{+}{-} 980](https://tex.z-dn.net/?f=%5Cto%20%5Cbar%7Bx%7D%20%5Cfrac%7B%2B%7D%7B-%7D%20E%5C%5C%5C%5C%20%3D%20%5C%24%2090000%20%5Cfrac%7B%2B%7D%7B-%7D%20980)
Answer: x = -3, -1/3, 1/2, 3
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
Answer:
Her z-score is 2.03.
Step-by-step explanation:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
Michelle’s height is 1.758 meters. What is her z-score?
Michelle's is a woman.
The average height of women is
and the standard deviation is ![\sigma = 0.069](https://tex.z-dn.net/?f=%5Csigma%20%3D%200.069)
This is Z when X = 1.758. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{1.758 - 1.618}{0.069}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B1.758%20-%201.618%7D%7B0.069%7D)
![Z = 2.03](https://tex.z-dn.net/?f=Z%20%3D%202.03)
Her z-score is 2.03.
Answer:
N is a negative number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is n < 0.
Step-by-step explanation:
Hope this helped!