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3 years ago

6

How much is 8% of 1,249? Round the answer to the nearest hundredth.

1 answer:

Nesterboy [21]3 years ago

8 0

Answer:

Step-by-step explanation:

the answer will be 99.92

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A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence

Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

$n = 30$ -- sample size

$\bar x = 50$ -- sample mean

$\sigma = 10$ --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {30}}$

$\sigma_x = \frac{10}{5.478}$

$\sigma_x = 1.825$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.825$

$E = 3.577$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 3.577$

$Lower = 46.423$

$Lower = 46.4$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 3.577$

$Upper = 53.577$

$Upper = 53.6$ --- approximated

<em>So, the 95% confidence interval is (46.4, 53.6)</em>

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {90}}$

$\sigma_x = \frac{10}{9.49}$

$\sigma_x = 1.054$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.054$

$E = 2.06584$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 2.06584$

$Lower = 47.93416$

$Lower = 47.9$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 2.06584$

$Upper = 52.06584$

$Upper = 52.1$ --- approximated

<em>So, the 95% confidence interval is (47.9, 52.1)</em>

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

$n = 30$ $E = 3.577$

In (b), we have:

$n = 90$ $E = 2.06584$

<em>Notice that the margin of error decreases when the sample size increases.</em>

4 0

2 years ago

Two equivalent fractions for 37 over 50

stiks02 [169]

Answer:

37/50=74/100

Step-by-step explanation:

8 0

3 years ago

Herman already has 1 sticker, and he will get 33 additional stickers from each sticker pack he buys.

adell [148]

Answer:

Herman needs to buy 3 sticker packs to have a total of 100 stickers.

Explanation:

33 x 3 = 99

99 + 1 = 100

4 0

3 years ago

Celinda and Elsa deliver a 24-minute presentation. They each present for the same amount of time. For how mar

solniwko [45]

Answer: 12 minutes

Step-by-step explanation: Since there are 2 people and 24 minutes total, you have to divide the total time by the amount of people. The equation will be 24=2x, so divide 24 by 2 and you get 12

5 0

2 years ago

Write the equation of the line in slope-intercept form using y=mx+b

Phoenix [80]

Answer:

y=-4/6+2

Step-by-step explanation:

The rise is -4, and the run is 6. Rise over run means that the slope is -4/6. the Y intercept is 2. Therefore y=-4/6+2.

8 0

2 years ago

Read 2 more answers