Chapter 6: Q. 6 (page 285)
State two of the main reasons for studying the normal distribution.
Short Answer
The normal distribution can be expressed with a bell-shaped curve.
The curve is as follows:
Chapter 6: Q. 6 (page 285)
State two of the main reasons for studying the normal distribution.
The normal distribution can be expressed with a bell-shaped curve.
The curve is as follows:
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Get started for freeElephant Pregnancies. G. Wintemeyer et al. studied demographic data on African elephants living in Kenya in the article "Comparative Demography of an At-risk African Elephant Population (PLOS ONE, Vol. 8. No. 1). Based on this study, we will assume that the time between pregnancies of the African elephant in Kenya, for elephants that have more than one calf, is normally distributed with mean of 4.01 years and a standard deviation of 0.94 years. Determine the percentage of such times that are
a. less than 2 years.
b. between 3 and 5 years.
A variable is normally distributed with a mean of and standard deviation Find the percentage of all possible values of the variable.
a. lie between and .
b. exceed ,
c. are less than
A classic study by F. Thorndike on the number of calls to a wrong number appeared in the paper "Applications of Poisson's Probability Summation" (Bell Systems Techical Journal. Vol. 5, pp. 604-624). The study examined the number of calls to a wrong number from coin-box telephones in a large transportation terminal. Based on the results of that paper. we obtained the following percent distribution for the number of wrong numbers during a 1-minute period.
a. Construct a relative-frequency histogram of these wrong-number data.
b. Based on your histogram, do you think that the number of wrong numbers from these coin-box telephones is approximately normally distributed? Explain your answer.
Students in an introductory statistics course at the U.S. Air Force Academy participated in Nabisco's "Chips Ahoy! Chips Challenge" by confirming that there were at least 1000 chips in every-ounce bag of cookies that they examined. As part of their assignment, they concluded that the number of chips per bag is approximately normally distributed. Could the number of chips per bag be exactly normally distributed? Explain your answer. [SOURCE: B. Warner and J. Rutledge, "Checking the Chips Ahoy! Guarantee," Chance, Vol. 12(1). pp. 10-14]
The area under a density curve that lies to the left of 60 is . What percentage of all possible observations of the variable are
a. Less than 60?
b. At least 60?
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