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PtichkaEL [24]
3 years ago
7

A high school basketball team won exactly 65 percent of the games it played during last season. Which of the following could be

the total number of games the team played last season?
Mathematics
1 answer:
Paul [167]3 years ago
4 0
100 games could be the answer. what are the choices?
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A scientist is studying 24 milligrams of a radioactive material that has a half-life of 2 minutes. This means that every 2 minut
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Answer:

B is the correct graph

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1) Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store.
densk [106]

Answer:

E) .0863

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

For this case we can find the sample proportion for each observation with the following formula:

\hat p = \frac{X}{n}

Where X represent the number of returns and n =100 for each case since the standard value used. Using the last formula we got:

p_1 = \frac{10}{100}=0.1

p_2 = \frac{9}{100}=0.09

p_3 = \frac{11}{100}=0.11

p_4 = \frac{7}{100}=0.07

p_5 = \frac{3}{100}=0.03

p_6 = \frac{12}{100}=0.12

p_7 = \frac{8}{100}=0.08

p_8 = \frac{4}{100}=0.04

p_9 = \frac{6}{100}=0.06

p_{10} = \frac{11}{100}=0.11

And now witht those values we can find the sample mean of proportions with the following formula:

hat p = \frac{\sum_{i=1}^n p_i}{n}= \frac{0.1+0.09+0.11+0.07+0.03+0.12+0.08+0.04+0.06+0.11}{10}=0.081

And we can find the standard error with the following formula:

SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.081(1-0.081)}{10}}=0.0863

So then the best option on this case is given by:

E) .0863

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Step-by-step explanation:

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