Answer:
The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
Step-by-step explanation:
The information provided is:
![n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%](https://tex.z-dn.net/?f=n%3D80%5C%5C%5Csigma%3D30%2C000%5C%5C%5Cbar%20x%3D585062.50%5C%5C%5Ctext%7BConfidence%20level%7D%20%3D%2090%5C%25)
The critical value of <em>z</em> for 90% confidence level is, 1.645.
Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:
![CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20z_%7B%5Calpha%2F2%7D%5Ccdot%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D585062.50%5Cpm%201.645%5Ctimes%5Cfrac%7B30000%7D%7B%5Csqrt%7B80%7D%7D%5C%5C%5C%5C%3D585062.50%5Cpm5517.50%5C%5C%5C%5C%3D%28579545%2C%20590580%29)
Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).
This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.
Answer:
The Pancakes are actually dependent while the Batter is Independent because your are changing the batter. Think of I change in an Independent variable. You cant really change the outcome which is the dependent.
Step-by-step explanation: