A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?

The following information is used for questions 18, 19, 20, 21 and 22: You come up with what you think is a great idea for a new

Olenka [21]

Answer:

a) A Type II error happens when the null hypothesis failed to be rejected even when the alternative hypothesis is true (<em>false negative</em>).

In this case the ad was effective (true alternative hypothesis), but the results of the sample had no enough statistical evidence to prove that the ad really had an effect increasing sales (reject the null hypothesis).

b) No. This type of errors are not evident, as the study is conduct to infere characteristics of the population. As it is an inference, there is not 100% accurate, and there is a probability of making this type of errors.

The only thing it can be done is limiting the probability of making this errors (type I and type II), affecting the power of the test (to affect Type II error) and the significance level (to affect Type I error). Obviously there is a trade-off, and minimizing one type of error increases the probability of making the other type.

c) The business consequences are that an effective ad campaign is not recognize and a business opportunity is lost. The ad would have been effective, but the study wasn't capable of demostrating its efectiveness.

d) One explanation could be a sample size not big enough. Increasing the sample size increases the power of the test, which decrease the probability of making a Type II error.

Other explanation could be a significance level that was too conservative (very low significance level). That means that the sample result was not considered a unlikely result becuase the threshold for unlikely results was set to a very low probability. This minimizes the probability of making a Type I error, but makes harder for true alternative hypothesis to be demonstrated.

Step-by-step explanation:

6 0

3 years ago

Which of the following coordinates is in the solution set of this system?

iren [92.7K]

Answer:

B.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

2. A line goes through the points (7,8) and (3, 10).

Luda [366]

1.

The formula of a slope (m):

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (7, 8) and (3, 10). Substitute:

$m=\dfrac{10-8}{3-7}=\dfrac{2}{-4}=-\dfrac{1}{2}$

2.

a) point-slope form:

$y-y_1=m(x-x_1)$

Substitute:

$y-8=-\dfrac{1}{2}(x-7)$

b) slope-intercept form:

$y=mx+b$

$y-8=-\dfrac{1}{2}(x-7)\qquad|\text{use distributive property}\\\\y-8=-\dfrac{1}{2}x+\dfrac{7}{2}\qquad|\text{add 8}=\dfrac{16}{2}\ \text{to both sides}\\\\y=-\dfrac{1}{2}x+\dfrac{23}{2}$

4 0

4 years ago

Amelia measured the elementary school and made a scale drawing. The scale of the drawing was 11 mm, 4 m. If the schoolyard is 48

cestrela7 [59]

Answer:

176

Step-by-step explanation:

every 11 mm in the drawing equals 4m.

every 1 mm in the drawing equals 4/11 m

Actual size of school yard = 484*4/11 = 176m

3 0

3 years ago

Find the area of the shaded polygons

muminat

Answer:

4 square units

Step-by-step explanation:

The vertices of the figure are on grid points, so it is appropriate to use Pick's theorem to find the area.

__

<h3>formula</h3>

Pick's theorem tells you the area is ...

A = i +b/2 -1

where i is the number of grid points interior to the figure (0), and b is the number of grid points on the boundary (10).

<h3>application</h3>

Using the counted values in the formula, we find the area to be ...

A = 0 +10/2 -1 = 4

The area of the polygon is 4 square units.

_____

<em>Additional comment</em>

There are several other ways to find the area. Here are a couple:

<u>decompose the figure</u>

A horizontal line 1 unit up from the bottom will divide the figure into a trapezoid and a triangle. The trapezoid has bases 4 and 1, and height 1, so its area is ...

A = 1/2(b1 +b2)h = 1/2(4 +1)(1) = 5/2

The triangle has base 1 and height 3, so its area is ...

A = 1/2bh = 1/2(1)(3) = 3/2

Then the total area is 5/2 +3/2 = 8/2 = 4 square units.

<u>subtract empty space</u>

The figure occupies a 4×4 square with triangles removed from the left side and the top. Each of those triangles has a base of 4 and a height of 3. The remaining (shaded) area is ...

A = s² -1/2bh -1/2bh

A = 4² -1/2(4)(3) -1/2(4)(3) = 16 -12 = 4 square units

6 0

2 years ago