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The following histogram was created using the variable score in the data file ECONMATH. Thirty bins were used to create the histogram, and the height of each cell is the proportion of observations falling within the corresponding interval. The best-fitting normal distribution-that is, using the sample mean and sample standard deviation-has been superimposed on the histogram. .08 .06 .04 .02 0모 20 40 60 100 course score (in percentage form) SC (i) If you use the normal distribution to estimate the probability that score exceeds 100, would the answer be zero? Why does your answer contradict the assumption of a normal distribution for score? (ii) Explain what is happening in the left tail of the histogram. Does the normal distribution fit well in the left tail? proportion in cell

The following histogram was created using the variable score in the data file ECONMATH. Thirty bins were used to create the histogram, and the height of each cell is the proportion of observations falling within the corresponding interval. The best-fitting normal distribution-that is, using the sample mean and sample standard deviation-has been superimposed on the histogram. .08 .06 .04 .02 0모 20 40 60 100 course score (in percentage form) SC (i) If you use the normal distribution to estimate the probability that score exceeds 100, would the answer be zero? Why does your answer contradict the assumption of a normal distribution for score? (ii) Explain what is happening in the left tail of the histogram. Does the normal distribution fit well in the left tail? proportion in cell

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following histogram was created using the variable score in the data file ECONMATH. Thirty bins were used to create the histogram, and the height of each cell is the proportion of observations falling within the corresponding interval. The best-fitting normal distribution-that is, using the sample mean and sample standard deviation-has been superimposed on the histogram. .08 .06 .04 .02 0모 20 40 60 100 course score (in percentage form) SC (i) If you use the normal distribution to estimate the probability that score exceeds 100, would the answer be zero? Why does your answer contradict the assumption of a normal distribution for score? (ii) Explain what is happening in the left tail of the histogram. Does the normal distribution fit well in the left tail? proportion in cell
Transcribed Image Text:The following histogram was created using the variable score in the data file ECONMATH. Thirty bins were used to create the histogram, and the height of each cell is the proportion of observations falling within the corresponding interval. The best-fitting normal distribution-that is, using the sample mean and sample standard deviation-has been superimposed on the histogram. .08 .06 .04 .02 0모 20 40 60 100 course score (in percentage form) SC (i) If you use the normal distribution to estimate the probability that score exceeds 100, would the answer be zero? Why does your answer contradict the assumption of a normal distribution for score? (ii) Explain what is happening in the left tail of the histogram. Does the normal distribution fit well in the left tail? proportion in cell
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