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ddd [48]
3 years ago
15

Mrs.bell has a 256 ounce of soil. What is the greatest number of 6 ounce pots she can completely fill with soil.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0
42.6, hope that helps!!!
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both meters are not the same which means it can't be another number

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An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to usi
victus00 [196]

Answer:

a) The sample proportion is 0.06.

b) The test statistic is z = -1.89.

c) 0.0294

d) 0.294 < 0.05, which means that there is enough evidence that p is less than 0.1, which means that we reject the null hypothesis, and accept the shipment.

Step-by-step explanation:

The null hypothesis is:

H_{0} = 0.1

The alternate hypotesis is:

H_{1} < 0.1

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.

a. Calculate the sample proportion p.

200 potatoes, 12 defective.

This means that p = \frac{12}{200} = 0.06

The sample proportion is 0.06.

b. Calculate the test statistic.

For a proportion p, we have that:

\sigma = \sqrt{p(1-p)}

In this question, since \mu = 0.1

\sigma = \sqrt{0.1}{0.9}

SRS of 200 means that n = 200

H{0} = 0.1 means that \mu = 0.1. So

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

z = \frac{0.06 - 0.1}{\frac{\sqrt{0.1*0.9}}{\sqrt{200}}}

z = -1.89

The test statistic is z = -1.89.

c. Find the p-value.

Looking at the z-table, z = -1.89 has a pvalue of 0.0294, which is the pvalue of this hypothesis test.

d. Given α=0.05 what is your conclusion? Should he reject the shipment?

0.294 < 0.05, which means that there is enough evidence that p is less than 0.1, which means that we reject the null hypothesis, and accept the shipment.

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