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Description: Researchers at a weather center in the northeastern United States recorded the number of 90 Degree Fahrenheit days each year since records first started in 1875. The numbers form a normal-shaped distribution with a mean of μ = 9.6 and a standard dev

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Researchers at a weather center in the northeastern United States recorded the number of 90 Degree Fahrenheit days each year since records first started in 1875. The numbers form a normal-shaped distribution with a mean of μ = 9.6 and a standard deviation of σ = 1.9. To see if the data showed any evidence of global warming, they also computed the mean number of 90 Degree days for the most recent n = 4 years and obtained M = 12.25. Do the data indicate that the past four years have had significantly more 90 Degree days than would be expected for a random sample from this population? Use a one-tailed test with α = .05.

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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