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LuckyWell [14K]
3 years ago
13

Find the mean, median, mode, and range of the data set after you perform the given operation on each

Mathematics
1 answer:
agasfer [191]3 years ago
6 0

Answer:

mean= 8.8

median= 9

mode= 9

range= 10

ANSWER: A

Step-by-step explanation:

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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:

<em>H</em>₀: The rate of those who finish the marathon is the same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.

<em>Hₐ</em>: The rate of those who finish the marathon is not same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 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 <em>p</em>-value as follows:

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

The <em>p</em>-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 <em>z</em> 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
Please help me set up this problem, I’ll mark you brainiest if it’s correct <br> X/? = ?/?
drek231 [11]

Answer:

6.3 inches

Step-by-step explanation:

5/9 = 3.5/x

5x = 31.5

x = 6.3

5 0
3 years ago
Read 2 more answers
Can some one solve 2 I’ll give a crown
vitfil [10]

Answer:

Hi! The correct answer is 16!

Step-by-step explanation:

<em><u>~Use the formula (b/2)^2 in order to create a new term to complete the square~</u></em>

7 0
2 years ago
Read 2 more answers
Which of the equations shows an application of the Zero Property of Multiplication? A. 25+0=25 B. 13(3)= C. 0∙2=0 D. (34−2)−(34+
Montano1993 [528]

Answer:

0∙2=0

Step-by-step explanation:

Zero Property of multiplication is as follows :

The product of a number and 0 is equal to 0.

In option (c), 0 is multiplied by 2 and as a result, we get 0 as the answer.

It means,

0∙2=0

Hence, option (c) i.e. 0∙2=0 shows the Zero Property of Multiplication.

5 0
3 years ago
2,231.5= how many grams?
svlad2 [7]
What are you converting it to/from?
4 0
3 years ago
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