Almost everyone who regularly drives his or her car in a largeNorth American City agrees that traffic is getting worse.A randomly selected sample of 100 cars had their speedsmeasured on a freeway during rush hour. The sample mean is 17.2 mph (miles per hour).Traffic engineers determined that two years ago the mean and standard deviationof speeds on the same freeway during rush hour were 18.6 and 6.2 mph, respectively.Q6. Find the p-value of the test to determine how much evidence exists to supportthe generally held belief that traffic is getting worse.(Assume that the standard deviation of speeds today is unchangedfrom that of two years ago)

It is given that: x¯ sample mean=17.2n sample size=100σ population standard deviation=6.2

Answered: Almost everyone who regularly drives…

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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Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.977.9 Mbps. The complete list of 50 data speeds has a mean of x overbarxequals=17.5417.54 Mbps and a standard deviation of sequals=18.9718.97 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
Please answer B, C, & D.
Suppose that the mean weight for men 18 to 24 years old is 170 pounds, and the standard deviation is 20 pounds. In each part, find the value of the standardized score (z-score) for the given weight. USE SALT (a) 206 pounds. Z = (b) 140 pounds. Z = (c) 173 pounds. Z = (d) 236 pounds. Z =
The manager at UPS feels that the weights of packages shipped recently are less than in he past. Records show that in the past packages have had a population mean weight of 36.7 pounds and a population standard deviation of 14.2 pounds. A random sample of last month's shipping records yielded a sample mean weight of 32.1 pounds for 64 packages. Does this indicate that the weights of packages recently shipped is less than 36.7 pounds? Use a = 0.01. Use the Classical Approach.
A large chemistry course took their final exam. The mean was 75 with a standard deviation of 8. What proportion of people scores in the A range (90 or above)?
Most water treatment facilities monitor the quality of their drinking water on an hourly basis. One variable measured is pH, which measures the degree of alkalinity or acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH of 7.0 is neutral. One water-treatment plant has a target pH of 8.5. (Most try to maintain a slightly alkaline level) The mean and standard deviation of 1 hour’s test results based on 49 water samples at this plant are: = 8.42; s = 0.16 Does this sample provide sufficient evidence that the mean pH level in the water differs from 8.5? do in excel if needed
A population has a Mean of 100 and a standard deviation of 15. A sample of 20 college students is measured and the Sample mean is 125. What is the standard error? Show the math.
Nathan takes the State Aptitude Assessment, which has a mean of 350 and a standard deviation of 50. His brother Kyle takes the Regional Readiness Test, which has a mean of 300 and a standard deviation of 45. If Kyle's score was 375, what is the cooresponding z score? a. +2.22 b. +1.00 c. +1.67 d. -1.67
We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51 locations in the continental US in Exercise 5.19. The mean and standard deviation of the reported differences are 1.1 degrees and 4.9 degrees respectively. see attachment
Use z scores to compare the given values. The tallest living man at one time had a height of 248 cm. The shortest living man at that time had a height of 59.8 cm. Heights of men at that time had a mean of 177.61 cm and a standard deviation of 7.48 cm. Which of these two men had the height that was more extreme? and the z score for the shortest man is z = the man had the height that was more extreme. Since the z score for the tallest man is z = (Round to two decimal places.)
A student scores 74 on a geography test and 264 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 5. The mathematics test has a mean of 300 and a standard deviation of 24. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class? OA. The student scored better on the mathematics test. OB. The student scored better on the geography test. OC. The student scored the same on both tests.
A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago. Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years. The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old. Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old. Choose the correct answer from the parenthesis. (i) Hypotheses ?0: ? = ( 0, 2.2, 22.7, 24.3, 25, 40) ______________ . ?1: ? = ( < , > ) ______________ ( 0, 2.2, 22.7, 24.3, 25, 40) ________________ . (ii) Test Statistic ( z/ t )…

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