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Nina [5.8K]
3 years ago
15

The mean annual income for adult women in one city is $28,520 and the standard deviation of the incomes is $5600. The distributi

on of incomes is skewed to the right. Find the mean and standard error of the mean for this sampling distribution when using random samples of size 66. Round your answers to the nearest dollar.
Mathematics
1 answer:
pshichka [43]3 years ago
7 0

Answer:

E(\bar{x}) = 28520

Standard error of mean = 689

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $28,520

Standard Deviation, σ = $5600

Mean of sampling distribution =

E(\bar{x}) = \mu = 28520

As per Central Limit Theorem, if the sample size is large enough, then the sampling distribution of the sample means follow approximately a normal distribution.

Sample size, n = 66

Since the sample size is large, we can use normal distribution for approximation.

Standard error of mean =

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{5600}{\sqrt{66}} = 689.31 \approx 689

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The price of an item has been reduced by $8.39 . The new sale price is $51.23. What was the original price?
Karolina [17]

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3 years ago
Plz answer with explanation will give brainliest
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Answer:

B: |8| + (-7)

Step-by-step explanation:

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3 years ago
ABCD is a Rhombus with side length 10 cm. Angle ADC = 40. DAC is a sector of a circle with center D. BAC is a sector of a circle
Natasha_Volkova [10]

The value of the <em>shaded</em> area is approximately 34.907 square centimeters.

<h3>How to calculate the area between a rhombus and a circle</h3>

According to the description in statement we prepared a representation of the figure in the image attached below. The <em>shaded</em> area is equal to the area of the <em>circle</em> sector (A), in square centimeters:

A = \frac{\theta\cdot \pi \cdot R^{2}}{360} (1)

Where:

  • R - Length of the radius, in centimeters.
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If we know that \theta = 40^{\circ} and R = 10\,cm, then the area of the circle is:

A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}

A\approx 34.907\,cm^{2}

The value of the <em>shaded</em> area is approximately 34.907 square centimeters. \blacksquare

To learn more on areas, we kindly invite to check this verified question: brainly.com/question/16151549

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What is 2 to the second power
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2^2 = 4
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Read 2 more answers
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