Answered: Cell Phone Call Lengths The average…

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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Cell Phone Call Lengths The average local cell phone call length was reported to be 2.39 minutes. A random sample of 24 phone calls showed an average of 2.83 minutes in length with a standard deviation of 0.9 minutes. At =α0.01, can it be concluded that the average differs from the population average? Assume that the population is approximately normally distributed.

a. State the hypotheses and identify the claim

H0= (claim or not claim)

H1= (claim or not claim)

This hypothesis test is a (one tailed or two tailed) test

Critical value(s)=

(Reject or do not reject) the null hypothesis

is there enough evidence to support the claim?

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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