A certain type of bird lives in two regions of a state. The distribution of weight for birds of this type in the northern region isapproximately normal with mean 10 ounces and standard deviation 3 ounces. The distribution of weight for birds of this type in thesouthern region is approximately normal with mean 16 ounces and standard deviation 2.5 ounces. Is it more likely that a bird of thistype with a weight greater than L3 ounces lives in the northern region or the southerm region? Justifly your answer.

Reviewing information, X : Weight for birds of this type in the northern region Y : Weight for birds…

Answered: A certain type of bird lives in two…

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 a certain country the heights of adult men are normally distributed with a mean of 68.8 inches and a standard deviation of 2.4 inches. The country's military requires that men have heights between 65 inches and 77 inches. Determine what percentage of this country's men are eligible for the military based on height.
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1521 and a standard deviation of 301. The local college includes a minimum score of 888.9 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement?
A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 10 cm with a standard deviation of 0.05 cm. For what lengths will a bolt be destroyed?
Cholesterol The level of cholesterol in the blood for all men aged 20 to 34 follows a Normal distribution with mean 188 milligrams per deciliter (mg/dl) and standard deviation 41 mg/dl. For 14-year-old boys, blood cholesterol levels follow a Normal distribution with mean 170 mg/dl and standard deviation 30 mg/dl. Suppose we select independent SRSs of 25 men aged 20 to 34 and 36 boys aged 14 and calculate the sample mean cholesterol levels M and XB. What is the shape of the sampling distribution of XM - XB? Why? Find the mean of the sampling distribution. Show your work. Find the standard deviation of the sampling distribu- tion. Show your work.
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 12 million dollars and a standard deviation of 1.3 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 20% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. million dollars X S
A survey found that women's heights are normally distributed with mean 62.3 inches and standard deviation 2.2 inches. Most of the live characters employed at an amusement park have height requirements of at least 54 inches Find the percentage of women meeting the height requirement?
In 2005, the federal aviation administration updtaed its passengers weight standards to an average of 190 pounds in the summer (195 in the winter). This includes clothing and carry- on baggage. The FAA, however did not specify a standard deviation. A reasonable standard deviation is 35 pounds. Weights are normally distributed especially when the population includes both men and women, but they are not very non- normal. A computer plane carries 25 passangers. What is the apporximate probability that, in the summer, the total weight of the passengers exceeds 5200 pounds?
The average wage for bank managers in a certain city is $91,900 per hour with a standard deviation of $24,300. What should be the hourly wage for an administrator if he/she wishes to earn less than 25% of all employees?
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 9 million dollars and a standard deviation of 1.4 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph.
The heights of 10 year old American children are normally distributed with a mean height of 4 feet and 5 inches (or 53 inches) and a standard deviation of 4.5 inches.In order to be allowed to go on a particular kids ride at the amusement park, children must be at least 44.9 inches tall and no more than 59.75 inches tall.What percent of 10 year old American children cannot go on the ride?
A sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 12 footballs were filled with helium to the recommend pressure and 15 footballs were filled with air to the recommended pressure. The mean yardage for the helium filled footballs was 267 yards with a standard deviation of 3 yards. The mean yardage for the air filled footballs was 241 yards with a standard deviation of 5 yards. Assume the populations are normal with equal variances. (a). Construct a 99% confidence interval for the mean difference in in yardage for the two types of footballs Lower bound (use 3 decimal places) Upper bound (use 3 decimal places) (b). What can you conclude about the sports writer's idea that helium footballs travel farther, on average? The helium footballs are no different than the other footballs, on average The other footballs travel farther on average than the helium footballs The helium footballs travel farther on average than the…

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