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3 years ago

13

There are two options for borrowing $5,000 from a bank: Bank A = 3% simple interest for 5 years Bank B = 2.5% simple interest fo

r 6 years Which is a better deal?
They are the same
Bank B
Bank A

2 answers:

motikmotik3 years ago

8 0

Answer:

the same

Step-by-step explanation:

3*5=15

2.5*6=15

Andrew [12]3 years ago

6 0

BANK A:
5,000*0.03*5=750
BANK B:
5,000*0.025*6=750

They are the same

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A museum conducts a survey of its visitors in order to assess the popularity of a device which

Natali5045456 [20]

Answer:

i:

The appropriate null hypothesis is $H_0: p \geq 0.2$

The appropriate alternative hypothesis is $H_1: p < 0.2$

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

ii:

The p-value of the test is 0.1057

Step-by-step explanation:

Question i:

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.

At the null hypothesis, we test if the proportion is of at least 20%, that is:

$H_0: p \geq 0.2$

At the alternative hypothesis, we test if the proportion is less than 20%, that is:

$H_1: p < 0.2$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that $\mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4$ .

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.

This means that $n = 100, X = \frac{15}{100} = 0.15$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}$

$z = -1.25$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.

Looking at the z-table, z = -1.25 has a p-value of 0.1057.

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

Question ii:

The p-value of the test is 0.1057

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Grace paid $54.40 for 8 outdoor pathway lights. Travis paid $40.25 for 5 of the same lights at a different store.who paid less p

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The area of a rectangle is represented by x^2- 7x + 10. What are the missing side lengths of the rectangle?

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Explanation:

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