5-28. Shimano mountain bikes are displayed in chic clothing boutiques in Milan, Italy, and the average price for the bike in the city is $700. Suppose that the standard deviation of bike prices is $100. If a random sample of 60 boutiques is selected, what is the probability that the average price for a Shimano mountain bike in this sample will be between $680 and $720?

5-28. Shimano mountain bikes are displayed in chic clothing boutiques in Milan, Italy, and the average price for the bike in the city is $700. Suppose that the standard deviation of bike prices is $100. If a random sample of 60 boutiques is selected, what is the probability that the average price for a Shimano mountain bike in this sample will be between $680 and $720?

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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Ma1.
In the month of July, the average electrical Eversource bill in Amherst Massachusetts is $72 with a standard deviation of $6. Suppose that the electrical bills are normally distributed, what is the probability that the average electrical bill in Amherst for 15 residents is less than $75? Select one: A. 78.45% B. 23.27% C. 97.38% D. 31.21%
8. An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.57 ppm and a standard deviation of 3 ppm. A Brother brand printer can print an average of 17.21 ppm and a standard deviation of 4 pages and its printer speed is also normally distributed. You select 10 of each printer at random. What is the probability that mean Brother print speed is at least 2 pages faster than the mean HP print speed?
A. If 75% of high school students are able to pass a stats test, find the mean, variance, and standard deviation for the number of students who pass the test in a sample of 150 students. B. What is the probability that just you will not pass this test, if all 22 students take the test?
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 7.1 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 6.1, 8.1, 9.1, 10.1, 7.1, 11.1, and 12.1 pounds. What is the sample standard deviation?
18. About 3% of the population has a particular genetic mutation. 500 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such
About 2% of the population has a particular genetic mutation. 600 people are randomly selected.Find the standard deviation for the number of people with the genetic mutation in such groups of 600.
A. The salaries of pharmacy techs are normally distributed with a mean of $33,000 and a standard deviation of $4,000. If a pharmacy tech is selected at random, what is the probability they make more than $38,000? The answer should be typed as a decimal with 4 decimal places. B. The salaries of pharmacy techs are normally distributed with a mean of $33,000 and a standard deviation of $4,000. What is the minimum salary to be considered the top 6%? Round final answer to the nearest whole number. C. The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 250 and 450 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
About 2% of the population has a particular genetic mutation. 800 people are randomly selected.Find the standard deviation for the number of people with the genetic mutation in such groups of 800.
About 6% of the population has a particular genetic mutation. 700 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 700.
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
Body temperature. Suppose the body temperature of healthy individuals is approximately normally distributed with a mean of 37.0°C and a standard deviation of 0.4°C. a. If 130 healthy individuals are randomly selected, what is the probability that the average temperature for these individuals is 36.80°C or lower? b. Would you consider an average temperature of 36.80°C as unlikely to occur if the true average temperature of healthy individuals is 37.0°C?