Last year, the standard deviation of the ages at UTM was 1.8 years. Recently, a sample of 61 studentshad a standard deviation of 2.1 years. We are interested in testing to see if there has been a significantincrease in the standard deviation of the ages of the students at UTM. Assume ages are Normallydistributed.The p-value for this test is

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Answered: Last year, the standard deviation of…

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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A new extended-life light bulb has an average service life of 750 hours, with a standard deviation of 50 hours. if the service life of these light bulbs approximates a normal distribution, about what percent of the distribution will be between 700 hours and 900 hours?
Suppose the scores of students on an exam are normally distributed with a mean of 253 and a standard deviation of 80. According to the empirical rule, what percentage of students scored between 13 and 493 on the exam?
The mean yield of corn in the United States is about 120 bushels per acre. A survey of 40 farmers this year gives a sample mean of 123.8 bushels per acre. We want to know whether this is good evidence that the national mean this year is not 120 bushels per acre. Assume that the farmers surveyed are an SRS from the population of all commercial corn growers and that the standard deviation of the yield in this population is sigma = 10 bushels per acre. Is there enough evidence from the sample to suggest that the population mean is not 120 bushels per acre? Answer: p-value = 0.0162
A deviation score of 0.00 indicates that the individual
The GSS survey is conducted for approximately 2200 adults every year, since 1972 for a total of more than 38,000 participants. During several years of the GSS, participants were asked how many close friends they have. The mean for this variable was 7.44 friends, with a standard deviation of 10.98. The median was 5.00 and the mode was 4.00. What do the mean and standard deviation suggest about the shape of the distribution?
An IQ test has a mean of 100 and a standard deviation of 15. Which is more unusual, an IQ of 85 or an IQ of 120? what is the z-score for IQ 85 what is the z-score for IQ 120
The annual per capita consumption of oranges (in pounds) in the United States can be approximated by a normal distribution. The mean annual per capita of oranges is 19.2 with a standard deviation of 4 pounds. what annual per capita consumption of oranges represents the 5th percentile?
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of man who is 72.2 inches tall. (to 4 decimal places)
Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 35 minutes and a standard deviation of 3 minutes, while method B has a mean of 39 minutes and a standard deviation of 1.5 minutes. Which procedure is preferred if the procedure must be completed within 34 minutes? Which procedure is preferred if the procedure must be completed within 40.0 minutes? Which procedure is preferred if the procedure must be completed within 43 minutes?
IF MEN’S HEIGHTS ARE NORMALLY DISTRIBUTED WITH A MEAN OF 68 INCHES AND A STANDARD DEVIATION OF 10 INCHES FIND THE PROBABILITY A MAN IS TALLER THAN 69 INCHES. IF TAKE A SAMPLE OF 45 MEN FIND THE PROBABILITY THEIR AVERAGE HEIGHT IS BETWEEN 69 AND 75 INCHES. WHAT IS THE Z SCORE FOR AN INDIVIDUAL MALE FROM QUESTION #10 FOR MAN WHOSE HEIGHT IS 73 INCHES? WHAT IS THE Z-SCORE FOR A SAMPLE OF 36 MEN WHOSE AVERAGE HEIGHT IS 70 INCHES?
The warranty on a car battery is 30 months. If the breakdown times of this battery are normally distributed with a mean of 40 months and a standard deviation of 8 months, determine the percent of batteries that can be expected to require repair or replacement under warranty. what % of batteries can be expected to require repair or replacement under warranty. (Round to two decimal places as needed.)
A researcher believes the mean weight of males sulcata tortoises is more than 205 pounds. She samples 18 males sulcatas and find their mean to be 216.2 pounds with a standard deviation of 13.5pounds. Find the p-value p =

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