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Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...

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Ages of Gamblers The mean age of a sample of 25 people who were playing the slot machines is 49.9 years, and the standard deviation is 6.8 years. The mean age of a sample of 33 people who were playing roulette is 55.5 with a standard deviation of 3.2 years. Can it be concluded at =α0.10 that the mean age of those playing the slot machines is less than those playing roulette? Use μ1 or the mean age of those playing slot machines. Assume the variables are normally distributed and the variances are unequal.

ind the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas.

Critical Value(s):

Compute the test value. z=

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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