IMPORTANT NOTE: PLEASE ANSWER 7 TO 9 ONLY! Normal Distribution1. A blood pressure test was given to 450 women ages 20 to 36. It showed that their meansystolic blood pressure was 119.4 mm Hg, with a standard deviation of 13.2 mm Hg.Determine the z-score for a woman who had a systolic blood pressure reading of 110.5mm Hg.2. Using #1 problem, if the z-score for one woman was below 2.15. What was her systolicblood pressure reading?3. A data set has a mean of 75 and a standard deviation of 11.5. Find the z- score for x is85.4. A manufacturer of light bulbs finds that one light bulb model has a mean life span of1025 h with a standard deviation of 60 h. What percent of these light bulbs will last, lessthan 950 h.5. Using the no. 4 problem, How many light bulbs will last less than 1000h?6. A soda machine dispenses soda into 12-ounce cups. Tests show that the actual amountof soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviationof 0.2 oz.7. What percent of cups will receive less than 11.25 oz of soda?8. Tests show that the amount of soda dispensed is usually distributed, with a mean of11.5 oz and a standard deviation of 0.2 oz. What percent of cups are between 12 oz. and11 oz.?9. A soda machine dispenses soda into 15-ounce cups. Tests show that the actual amountof soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviationof 1.2 oz. How many cups of soda dispensed more than 10 oz?

Given: Mean, μ=11.5 Standard deviation, σ=0.2 Concept: The z-score for individual observation is…

7. What percent of cups will receive less than 11. 25 oz of soda? 8. Tests show that the amount of soda dispensed is usually distributed, with a mean of 11.5 oz and a standard deviation of 0.2 oz. What percent of cups are between 12 oz. and 11 oz.? 9. A soda machine dispenses soda into 15-ounce cups. Tests show that the actual amount of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviation of 1.2 oz. How many cups of soda dispensed more than 10 oz?

7. What percent of cups will receive less than 11. 25 oz of soda? 8. Tests show that the amount of soda dispensed is usually distributed, with a mean of 11.5 oz and a standard deviation of 0.2 oz. What percent of cups are between 12 oz. and 11 oz.? 9. A soda machine dispenses soda into 15-ounce cups. Tests show that the actual amount of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviation of 1.2 oz. How many cups of soda dispensed more than 10 oz?

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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Question

IMPORTANT NOTE: PLEASE ANSWER 7 TO 9 ONLY!

Normal Distribution
1. A blood pressure test was given to 450 women ages 20 to 36. It showed that their mean
systolic blood pressure was 119.4 mm Hg, with a standard deviation of 13.2 mm Hg.
Determine the z-score for a woman who had a systolic blood pressure reading of 110.5
mm Hg.
2. Using #1 problem, if the z-score for one woman was below 2.15. What was her systolic
blood pressure reading?
3. A data set has a mean of 75 and a standard deviation of 11.5. Find the z- score for x is
85.
4. A manufacturer of light bulbs finds that one light bulb model has a mean life span of
1025 h with a standard deviation of 60 h. What percent of these light bulbs will last, less
than 950 h.
5. Using the no. 4 problem, How many light bulbs will last less than 1000h?
6. A soda machine dispenses soda into 12-ounce cups. Tests show that the actual amount
of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviation
of 0.2 oz.
7. What percent of cups will receive less than 11.25 oz of soda?
8. Tests show that the amount of soda dispensed is usually distributed, with a mean of
11.5 oz and a standard deviation of 0.2 oz. What percent of cups are between 12 oz. and
11 oz.?
9. A soda machine dispenses soda into 15-ounce cups. Tests show that the actual amount
of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviation
of 1.2 oz. How many cups of soda dispensed more than 10 oz?

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