#### What is meant by the term “90% confident” when constructing a confidence interval for a mean?. Scale the horizontal axis for X ¯ . Shade the region corresponding to the probability. Find the probability.

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.

If X ¯ = average distance in feet for 49 fly balls, then X ¯ ~ _______(_______,_______)

What is the probability that the 49 balls traveled an average of less than 240 feet? Sketch the graph. Scale the horizontal axis for X ¯ . Shade the region corresponding to the probability. Find the probability.

Find the 80th percentile of the distribution of the average of 49 fly balls

Which of the following is NOT TRUE about the distribution for averages?

The mean, median, and mode are equal.

The area under the curve is one.

The curve never touches the x-axis.

The curve is skewed to the right

A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly selected adults are given an IQ test, what is the probability that the sample mean scores will be between 85 and 125 points?

Why is a 99% confidence interval wider than a 95% confidence interval?

A person claims to be able to predict the outcome of flipping a coin. This person is correct 16/25 times. Compute the 95% confidence interval on the proportion of times this person can predict coin flips correctly. What conclusion can you draw about this test of his ability to predict the future?

You take a sample of 22 from a population of test scores, and the mean of your sample is 60. (a) You know the standard deviation of the population is 10. What is the 99% confidence interval on the population mean.

(b) Now assume that you do not know the population standard deviation, but the standard deviation in your sample is 10. What is the 99% confidence interval on the mean now?

You were interested in how long the average psychology major at your college studies per night, so you asked 10 psychology majors to tell you the amount they study. They told you the following times: 2, 1.5, 3, 2, 3.5, 1, 0.5, 3, 2, 4. (a) Find the 95% confidence interval on the population mean. (b) Find the 90% confidence interval on the population mean.

What is meant by the term “90% confident” when constructing a confidence interval for a mean?

If we took repeated samples, approximately 90% of the samples would produce the same confidence interval.

If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would

contain the sample mean.

If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would

contain the true value of the population mean.

If we took repeated samples, the sample mean would equal the population mean in approximately 90% of the

. .

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