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3 years ago

Which phrase accurately describes a distribution that's bell shaped but not symmetric

Mathematics

2 answers:

Alex3 years ago

7 0

Answer:

The distribution is skewed (either to the left or to the right).

Step-by-step explanation:

Skewness is the measure of how symmetric the distribution of the data is around its mean. It can be skewed either to the left or to the right (meaning that one of the "tails" of the distribution is longer than the other). This means that the mass your data set's observations tends to accumulate more around one extreme of the distribution than around the other.

A strictly symmetric, normal distribution would have a skewness measure of 0.

STatiana [176]3 years ago

6 0

The distribution is skew

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A worker in the USA is paid $22,000 per year as a gross salary. The worker is asked to reduce her salary to $19,000 per annum. W

Ad libitum [116K]

22,000 to 19,000

22,000 - 19,000 / 22,000 x 100
3,000/22,000 x 100
0.136363636363636 x 100

13.63636363636364%
13.64%
14%

8 0

3 years ago

HELPS ASAP PLZ

den301095 [7]

Answer:

you would need to get 4 packages of hotdogs and 5 packages of buns

4*10=40

5*8=40

Step-by-step explanation:

5 0

3 years ago

1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,

gladu [14]

Answer:

(a) Explained below.

(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Step-by-step explanation:

The information provided is:

n (Men who finished the marathon) = 25,221

n (Women who finished the marathon) = 12,883

Compute the proportion of men and women who finished the marathon as follows:

$\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988$

The combined proportion is:

$\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989$

(a)

The hypothesis is:

H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.

Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.

Compute the test statistic as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78$

Compute the p-value as follows:

$p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075$

The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.

Thus, concluding that the rate of those who finish is the same for men and women.

(b)

Compute the 99% confidence interval for the difference between proportions as follows:

The critical value of z for 99% confidence level is 2.58.

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\$

Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

6 0

3 years ago

If the Cost price of the an article is greater than the selling price, we have a ____?

Olegator [25]

Answer:

loss

Step-by-step explanation:

Selling an item for less than was paid gives a loss

Selling an item for more than was paid gives a profit

4 0

3 years ago

Using the 3 functions below, make the desired transformation(s) to the correct function and describe the transformation(s). Writ

Eduardwww [97]

Answer:

The transformation of $g(x)$ to $k(x)$ consists in a vertical translation. The new equation is $k(x) = -12\cdot x-6$ .

Step-by-step explanation:

Let $g(x) = -12\cdot x - 3$ . We proceed to make the required transformations on $g(x)$ , which consists in one vertical translation, 3 units in the -y direction. That is to say:

$k(x) = g(x) - 3$ (1)

$k(x) = (-12\cdot x - 3) - 3$

$k(x) = -12\cdot x-6$

Then, the transformation of $g(x)$ to $k(x)$ consists in a vertical translation. The new equation is $k(x) = -12\cdot x-6$ .

5 0

3 years ago