Suppose that water usages in American showers are normally distributed, with an average shower using17.9 gallons, and a standard deviation of 2.5 gallons. Estimate the percentage of showers that used(a) between 15.4 and 20.4 gallons.68.26 %(48)more than 25.4 gallons.0.13 X%(c) less than 12.9 gallons.2.28 X%(d) between 10.4 and 22.9 gallons.97.59 x%

The provided information are: Population meanμ=17.9Population standard deviationσ=2.5 Consider, X be…

Answered: Suppose that water usages in American…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
3. The fill volume of an automated filling machine used for filling cans of carbonated beverage isnormally distributed. Suppose that the mean of the filling operation can be adjusted easily, but thestandard deviation remains at 0.4 fluid ounce.a. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces?b. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces if thestandard deviation can be reduced to 0.09 fluid ounce?
A farm hatches chicken eggs in batches of 15 and there is a 3% infertile rate. Find the standard deviation for the number of infertile eggs per batch. 0.2 O 0.44 0.45 O 0.66 O 43.7
ent will 3. The average price of a personal computer is $949. If the computer prices are approximately normally distributed with a standard deviation of $100... a. the top 20% of personal computers cost more than what amount? b. the least expensive 10% of personal computers cost less than what amount?
A variable is normally distributed with mean 39 and standard deviation 13. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 62.4. b) Find the area under the normal curve to the left of the data value 66,3. c) Find the area under the normal curve to the right of the data. value 51.35. d) Find the area under the normal curve to the right of the date value 43.55. e) Find the area under the normal curve between the data values 43.55 and 66.3.
Assume that blood pressure readings are normally distributed with μ= 124 and σ= 9. A researcher wishes to select people for a study but wants to exclude the top and bottom 9 percent. What would be the upper and lower readings to qualify people to participatein the study?

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