A pharmaceutical scientist analyzes pain data of various medications.

Data on IQ for 33 first graders are given as follows: 82, 96, 99, 102, 103, 103, 106, 107, 108, 108, 108, 108, 109, 110, 110, 11

Dahasolnce [82]

Answer:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}$

Where n represent the sample size, on this case n =33. If we use this formula we got:

$\bar X = 113.727$

And for this case we know that is the best estimator since is an unbiased estimator for the true population mean since we have this:

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

Step-by-step explanation:

For this case we have the following values given:

82, 96, 99, 102, 103, 103, 106, 107, 108, 108, 108, 108, 109, 110, 110, 111, 113, 113, 113, 113, 115, 115, 118, 118, 119, 121, 122, 122, 127, 132, 136, 140, 146

And we want to estimate the mean value of IQ for the conceptual population.

For this case we can use as estimator for the population mean the sample mean. We know that the sample mean is given by this formula:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}$

Where n represent the sample size, on this case n =33. If we use this formula we got:

$\bar X = 113.727$

And for this case we know that is the best estimator since is an unbiased estimator for the true population mean since we have this:

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

5 0

3 years ago

Mercado is 37 years old. His age is 5 years more than four times his daughter's age. How old is his daughter?

hichkok12 [17]

So,

Let Mercado's age be m and his daughter's age be d.

Our first equation: m = 37

Our second equation: m = 5 + 4d

Substitute 37 for m
37 = 5 + 4d

Subtract 5 from both sides
32 = 4d

Divide both sides by 4
8 = d

His daughter is 8 years old.

8 0

3 years ago

Read 2 more answers

Complete the paragraph below. The standard deviation is used in conjunction with the ______ to numerically describe distributio

Bumek [7]

Answer:

The standard deviation is used in conjunction with the mean to numerically describe distributions that are bell shaped. The mean measures the center of the distribution, while the standard deviation measures the spread of the distribution.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

The mean is the average value of the measures while the standard deviation measures how spread the measures are from the mean. So

The standard deviation is used in conjunction with the mean to numerically describe distributions that are bell shaped. The mean measures the center of the distribution, while the standard deviation measures the spread of the distribution.

4 0

3 years ago

What is 56% of 150?<br><br> Enter your answer in the box.

Svetlanka [38]

56% of 150 = 84

hope this helps ^_^

4 0

3 years ago

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Joe's Plumbing charges $75 for a service call, plus $30 for each hour of work. Maggie's Plumbing uses the equation y = 40x + 50

Anika [276]

Answer:NO

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Step-by-step explanation:

L

4 0

3 years ago