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Math 156 Sample Exam 3 Formulas Binomial mean np standard ...

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3. Use the normal approximation to estimate the probability that in 800 tosses of a fair coin,<br />

there would be more than 409 heads.<br />

4. Produce a 95% confidence interval for the <strong>mean</strong>, if your sample consists of 200 items, whose<br />

<strong>mean</strong> is 4.31 and the assumed population <strong>standard</strong> deviation is 8.<br />

5. Suppose a 95% confidence interval for the <strong>mean</strong> of a population, computed from a sample of<br />

size 500, is (160, 190).<br />

a) What is the estimated <strong>mean</strong> from the data<br />

b) What is the margin of error<br />

c) Explain in plain language what the interval tells you.<br />

d) Would you expect around 95% of the sampled values to fall in this interval Why or why not<br />

e) What must be true in order for the interval to be valid

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