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-Dominant- [34]

3 years ago

9

How do I solve this please and thank you please provide me step by step because I am confused on how this is properly simplified

. $\sqrt[3]{x^7} + \sqrt[3]{8x}$

1 answer:

Kisachek [45]3 years ago

4 0

is there answer choices

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A university surveyed recent graduates of the English Department for their starting salaries. Four hundred graduates returned th

AveGali [126]

Answer:

$\hat \mu = \bar X = 25000$

Step-by-step explanation:

Data given

$\bar X = 25000$ represent the sample mean obtained

$s= 2500$ represent the sample deviation obtained

$\mu =?$ represent the true mean (variable of interest)

n=400 represent the sample size selected

Solution to the problem

The best estimator for the true mean $\mu$ is given by the sample mean $\bar X$ , and the reason is: If we assume that in tha random sample $X_1,X_2,....,X_{400}$ each observation follows a normal distribution like this:

$X_i \sim N(\mu, \sigma)$

Then when we find the expected value for the sample mean we have this:

$E(\bar X)= E(\frac{\sum_{i=1}^n X_i}{n})$

If we use the properties of the expected value we have:

$E(\bar X) =\frac{1}{n} \sum_{i=1}^n E(X_i)$

And since the expected value of each observation is the same we have:

$E(\bar X) =\frac{1}{n} \sum_{i=1}^n \mu =\frac{1}{n} n\mu = \mu$

So then we have that the best estimator for the population mean is given by:

$\hat \mu = \bar X = 25000$

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