Chapter 6: Q. 6.77 (page 269)
Determine
Short Answer
The score under the usual normal curve with the area to its right is around .
Chapter 6: Q. 6.77 (page 269)
Determine
The score under the usual normal curve with the area to its right is around .
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Get started for freeIn each part, find the area under the standard normal curve that lies between the specified -scores, sketch a standard normal curve and shade the area of interest.
a. and
b. and
c. and
Philosophical and health issues are prompting an increasing number of Taiwanese to switch to a vegetarian lifestyle. In the paper "LDL of Taiwanese Vegetarians Are Less Oxidizable than Those of Omnivores" (Journal of Nutrition, Vol. 130, Pp. 1591-1596), S. Lu et al. compared the daily intake of nutrients by vegetarians and omnivores living in Taiwan. Among the nutrients considered was protein. Too little protein stunts growth and interferes with all bodily functions; too much protein puts a strain on the kidneys, can cause diarrhea and dehydration, and can leach calcium from bones and teeth. The daily protein intakes, in grams, for 51 female vegetarians and 53 female omnivores are provided on the Weiss Stats site. Use the technology of your choice to do the following for each of the two sets of sample data.
a. Obtain a histogram of the data and use it to assess the (approximate) normality of the variable under consideration.
b. Obtain a normal probability plot of the data and use it to assess the (approximate) normality of the variable under consideration.
c. Compare your results in parts (a) and (b).
The National Center for Health Statistics publishes information about birth rates (per 1000 population) in the document National Vital Statistics Report. The following table provides a frequency distribution for birth rates during one year for the 50 states and the District of Columbia.
a. Obtain a frequency histogram of these birth-rate data.
b. Based on your histogram, do you think that birth rates for the states and the District of Columbia are 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]
Obtain the score that has an area to its right.
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