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Dimas [21]
2 years ago
8

What is 9970 pounds to the nearest tenth of an ounce?

Mathematics
1 answer:
Ratling [72]2 years ago
8 0

√9970 = 99.84988733093290

Reduce the tail of the answer above to two numbers after the decimal point:

99.84

Round 99.84 so you only have one digit after the decimal point to get the answer:

99.8

To check that the answer is correct, use your calculator to confirm that 99.82 is about 9970.

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A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl
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Answer:

1.

The null hypothesis is H_0: \mu = 4

The alternate hypothesis is H_1: \mu > 4

2.

The p-value of the test is of 0.0045.

3.

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.

Step-by-step explanation:

A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm).

At the null hypothesis, we test that the mean is 4, so:

H_0: \mu = 4

At the alternate hypothesis, we test that the mean is more than 4, that is:

H_1: \mu > 4

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

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

4 is tested at the null hypothesis:

This means that \mu = 4

In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm.

This means that n = 8, X = 6.4, s = 1.9

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{6.4 - 4}{\frac{1.9}{\sqrt{8}}}

t = 3.57

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 6.4, which is a right-tailed test with t = 3.57 and 8 - 1 = 7 degrees of freedom.

With the help of a calculator, the p-value of the test is of 0.0045.

3. Should the pump be put into service?

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.

6 0
3 years ago
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