Solve the problem. Round to the nearest tenth unless indicated otherwise.9) Human body temperatures are normally distributed with a mean of 98.20°F and astandard deviation of 0.62°F. Find the temperature that separates the top 7% from thebottom 93%. Round to the nearest hundredth of a degree.10)10) Scores on an English test are normally distributed with a mean of 37.3 and a standarddeviation of 8. Find the score that separates the top 59% from the bottom 41%Find the probability for the given group.11)11) The weights of the fish in a certain lake are normally distributed with a mean of 15 lb anda standard deviation of 9. If 9 fish are randomly selected, what is the probability that themean weight will be between 12.6 and 18.6 lb?Solve the problem.12)12) A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8hours. If 40 mechanics are randomly selected, find the probability that their mean rebuildtime exceeds 7.7 hours.â

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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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In the 1992 presidential election, Alaska's 40 election districts averaged 1993 votes per district for President Clinton. The standard deviation was 584. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. a. What is the distribution of X? X ~ N( b. Is 1993 a population mean or a sample mean? Select an answer v C. Find the probability that a randomly selected district had fewer than 2053 votes for President Clinton. d. Find the probability that a randomly selected district had between 2074 and 2208 votes for President Clinton. e. Find the 95th percentile for votes for President Clinton. Round your answer to the nearest whole number.
Gestation Periods of Humans. Gestation periods of humans have a mean of 266 days and a standard deviation of 16 days. Let y denote the variable "gestation period" for humans.a. Find the standardized variable corresponding to y.b. What are the mean and standard deviation of the standardized variable?c. Obtain the z-scores for gestation periods of 227 days and 315 days. Round your answers to two decimal places.d. Interpret your answers in part (c).
The ratings of applicants for credit are normally distributed with a mean of 200 and a standard deviation of 50. Find the 60th. percentile, the rating score that separates the lower 60% from the top 40%. Round to the nearest integer. a. 208 b. 187 c. 211 d. 213
Find the range and the standard deviation (correct to two decimal places). 82, 92, 97, 97, 97 range standard deviation
A vending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.04 ounce. You can allow the cup to overfil 3% of the time. What amount should you set as the mean amount of coffee to be dispensed? Cik to View ongn 1.o the table Click to view. Dagn 2.of the tabin. Dounces (Round to two decimal places as needed.)
A set of population data has a mean of 586 and a standard deviation of 54.8. Calculate the z-score for a data point that has the value 607.9. Round your answer off to 2 decimal places.
You would like to know the average hourly wage in your area. You ask 20 people, and find a sample mean of 8.50 dollars. The population standard deviation is 2.89 dollars. Assume that distribution is normal. a. Give a point estimate for the mean hourly wage.b. Give the 90% margin of error for the mean. c. Write a sentence about the results. The average hourly wage in my area is about ________, give or take _______.
If the mean height of bonsai trees is 52 cm with a standard deviation of 10 cm, what percent of the trees are above 82 cm? Select one: a. 0.3% O b. 82 O c. 3% O d. 0.15% Students at Roseville High School took an IQ test with a mean of 100 and a standard deviation of 15. Approximately, what percent of the students scored above 100? Answer: o represents the
n the 1992 presidential election, Alaska's 40 election districts averaged 2111 votes per district for President Clinton. The standard deviation was 551. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. What is the distribution of X? X ~ N(,)b. Is 2111 a population mean or a sample mean? Select an answer Population Mean Sample Mean c. Find the probability that a randomly selected district had fewer than 2134 votes for President Clinton. d. Find the probability that a randomly selected district had between 2048 and 2241 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.
Help The mean useful life of car batteries is 48 months. They have a standard deviation of 5. Assume the useful life of batteries is normally distributed. a. Calculate the percent of batteries with a useful life of less than 43 months. (Round your answer to the nearest hundredth percent.) b. Calculate the percent of batteries that will last longer than 53 months. (Round your answer to the nearest hundredth percent.) a. Percent of batteries % b. Percent of batteries Next > Mc Graw Hill ! 1 Q A @ 2 Ne N r option W #3 S % So E X command $ 4 D R C < Prev % LO 5 F T 14 of 14 6 V G ⠀⠀ Y & 7 #Y H B 4 8 Dal J N 1 K M O Save & Exit L < MOSISO . command H Submit 96 1 ? optic
A standardized test has a mean of 88 and a standard deviation of 12. What is the score at the 90th percentile? a. 103.36 O b. 112.00 O c. 91.00 O d. 90.00
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to P34, the 84th percentile. This is the temperature reading separating the bottom 84% from the top 16%. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents P ? Choose the correct graph below. 84 A. В. OC. D. Ay X The temperature for P84 is approximately (Round to two decimal places as needed.)

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