Practice Exam 3

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California State University, San Marcos *

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119

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Mathematics

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Jan 9, 2024

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Practice Exam #3: Chapters 6 - 8 NAME _____________________________ Math 119 Spring 2023: Sarmad Youssef Show all work to receive full credit. 1) Assume the readings on thermometers are normally distributed with a mean of 0 degrees °C and a standard deviation of 1.00 degrees °C. Find the probability that a randomly selected thermometer reads between −2.22 and −0.99 and draw a sketch of the region. 2) Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ between 94 and 116.

3) The overhead reach distances of adult females are normally distributed with a mean of 204 cm and a standard deviation of 8.5 cm. a. Find the probability that an individual distance is greater than 216 cm. b. Find the probability that the mean for 23 randomly selected distances is greater than 202 cm.

4) In a Gallup poll of 1011 adults were asked if they consume alcohol beverages, and 64% of them said that they did. Construct a 90% confidence interval of the proportion of all adults who consume alcohol beverages.

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