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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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An automobile manufacturer has given its car a 34.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 140 cars, they found a mean MPG of 33.6. Assume the population variance is known to be 4.84 Is there sufficient evidence at the 0.05 level to support the testing firm's claim?

Is there sufficient evidence, or is there not sufficient evidence?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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An automobile manufacturer has given its van a 50.6 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 220 vans, they found a mean MPG of 50.5. Assume the population variance is known to be 1.69. A level of significance of 0.01 will be used. Find the P-value of the test statistic. you may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
Suppose the average blood sugar level in 35- to 44-year-olds is 4.86 (mmol/L). Do sedentary people have a different blood sugar level than that of the general population? To answer that question, a hypothesis test is planned to collect data from a group of 200 sedentary people in this age group. State the null and alternative hypothesis for this study. A. H0: u (mean) ≠ 4.86 mmol/L vs Ha: u (mean) = 4.86 mmol/L B. H0: u (mean) = 4.86 mmol/L vs Ha: xbar ≠ 4.86 mmol/L C. H0: u (mean) = 4.86 mmol/L vs Ha: u (mean) > 4.86 mmol/L D. H0: u(mean) = 4.86 mmol/L vs Ha: u (mean) ≠ 4.86 mmol/L
A random sample of male college baseball players and a random sample of male college soccer players were obtained independently and weighed. The accompanying table shows the unstacked weights (in pounds). The distributions of both data sets suggest that the population distributions are roughly Normal. Determine whether the difference in means is significant, using a significance level of 0.05. Click the icon to view the data table. Let µBaseball be the population mean weight (in pounds) of male college baseball players and let uSoccer be the population mean weight (in pounds) of male college soccer players. Determine the hypotheses for this test. Ho: HBaseball - HSoccer %3D Ha: HBaseball- HSoccer + 0 Find the test statistic for this test. (Round to two decimal places as needed.)

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