Chapter 6: Q.6.118 (page 283)
Explain in detail what a normal probability plot is and how it is used to assess the normality of a variable.
Short Answer
The data is spread in a linear way.
Chapter 6: Q.6.118 (page 283)
Explain in detail what a normal probability plot is and how it is used to assess the normality of a variable.
The data is spread in a linear way.
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Get started for freeThe 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?
In the paper "Cloudiness: Note on a Novel Case of Frequency" (Procedings of the Royul Sociery of London, Vol. . pp.), K. Pearson examined data on daily degree of cloudiness, on a scale of 0 to 10 , at Breslau (Wroclaw), Poland, during the decade . A frequency distribution of the data is presented in the following table.
a. Draw a frequency histogram of these degree-of-cloudiness data.
b. Based on your histogram, do you think that degree of cloudiness in Breslau during the decade in question is approximately normally distributed? Explain your answer.
According to Table II, the area under the standard normal curve that lies to the left of is . Without further reference to Table II, determine the area under the standard normal curve that lies
a. to the right of .
b. to the left of .
c. between and
Without consulting Table II, explain why the area under the standard normal curve that lies to the right of is .
Elephant 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.
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