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sergeinik [125]
2 years ago
7

Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 o

f them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?
Mathematics
1 answer:
LenKa [72]2 years ago
6 0

Answer:

52 / 1,560

Step-by-step explanation:

18 / 30

? / 1,560

1,560 / 30 = 52

52 / 1,560

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Answer:

The probability of selecting a sample which doesn't capture the true value of μ would be 10% rather than 5% if they decide to calculate a 90% confidence interval rather than a 95% confidence interval from the sample they will select.

Step-by-step explanation:

The correct answer is the last statement, but first, let's look at the other statements:

<em>Their confidence interval would be less likely to capture the </em><em>sample </em><em>mean.</em>

This statement is not correct because the <em>confidence </em>of a confidence interval gives us the probability of capturing the true value of the population mean.

<em>They would </em><em>decrease </em><em>the margin of error of their confidence interval if they calculated a 90% rather than a 95% confidence interval.</em>

If we want more confidence we must establish more precision, which means more error. In other words if the confidence increases so does the error for a fixed sample size. The second statement is false.

<em>The probability of selecting a sample which doesn't capture the true value of μ would be 10% rather than 5% if they decide to calculate a 90% confidence interval rather than a 95% confidence interval from the sample they will select.</em>

As stated before the <em>confidence </em>of a confidence interval is the probability that the interval contains the true value of μ. Therefore, if we increase the confidence from 95% to 90% then this probability also increases. A 90% confidence means that there's a 10% probability of not containing the true mean. Likely, a 95% confidence means that there's a 5% probability of not containig the true mean. The third statement is true.

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2 years ago
You invest an initial $1,000 in an account that has an annual interest rate of 2.5%, compounded annually. How much money will yo
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The change is a growth of 2.5% so the factor will be:
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Step-by-step explanation:

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Since the first value is greater than your second one Aggie lost money and your answer is <span>It decreases by $56.63.</span>
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Answer: The answer is 11 (A)


Step-by-step explanation:


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