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3 years ago

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What is greater and less 1/8, 11%, 3/20, 0.172, 0.32, 43%, 7%, 0.7, 5/6

1 answer:

IrinaVladis [17]3 years ago

7 0

This is the order from greatest to least: 7%, 11%, 1/8, 3/20, .172, .32, 43%, 0.7, 5/6

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Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of

tia_tia [17]

Answer:

Using a formula, the standard error is: 0.052

Using bootstrap, the standard error is: 0.050

Comparison:

The calculated standard error using the formula is greater than the standard error using bootstrap

Step-by-step explanation:

Given

Sample A Sample B

$x_A = 30$ $x_B = 50$

$n_A = 100$ $n_B =250$

Solving (a): Standard error using formula

First, calculate the proportion of A

$p_A = \frac{x_A}{n_A}$

$p_A = \frac{30}{100}$

$p_A = 0.30$

The proportion of B

$p_B = \frac{x_B}{n_B}$

$p_B = \frac{50}{250}$

$p_B = 0.20$

The standard error is:

$SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}$

$SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}$

$SE_{p_A-p_B} = \sqrt{0.00274}$

$SE_{p_A-p_B} = 0.052$

Solving (a): Standard error using bootstrapping.

Following the below steps.

Open Statkey
Under Randomization Hypothesis Tests, select Test for Difference in Proportions
Click on Edit data, enter the appropriate data
Click on ok to generate samples
Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>

From the randomization sample, we have:

Sample A Sample B

$x_A = 23$ $x_B = 57$

$n_A = 100$ $n_B =250$

$p_A = 0.230$ $p_A = 0.228$

So, we have:

$SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}$

$SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}$

$SE_{p_A-p_B} = \sqrt{0.002475064}$

$SE_{p_A-p_B} = 0.050$

5 0

3 years ago

Mr. price drives 123 miles each day on his bus route he gets reimbursed .56 per every mile he drives. How much will mr. price re

Andrei [34K]

he will be reimbursed 137.26 dollars for two days

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3 years ago

The flow rate of a water pump is 2.8 gallons per minute. How many minutes does it take this pump to transfer 84 gallons of water

klio [65]

84÷2.8 =3.0 that's what I did when I learned it

4 0

3 years ago

(a) The perimeter of a rectangular garden is 304 m.

kupik [55]

Answer:

oof

Step-by-step explanation:

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A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet. To the nearest whole unit, what i

tresset_1 [31]

Here you'll need to do some online research, using "area of a cone" as your search term. There is a formula! But it's complicated.

Once you've found this formula online, substitute 17 feet for r. The height of the cone has to be calculated from the slant height (these are not the same):

(slant height)^2 = (12 feet)^2 = r^2 + h^2, where h is the actual height of the cone.

The area of the base is pi*r^2, or pi*17^2 square feet.

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3 years ago

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