**Commuting to Work Study: Analyzing Commute Times in Colorado**A community survey sampled 1,923 people in Colorado, asking about their daily commute time to work. The sample mean one-way commute time was 24.8 minutes, with a standard deviation of 13 minutes. A transportation engineer claims that the mean commute time is less than 25 minutes. Do the data provide convincing evidence that the engineer's claim is true? The analysis should be done using a 0.01 level of significance with the critical value method based on the Critical Values for the Student’s t Distribution Table.**Hypothesis Testing**1. **Part (a)**: State the appropriate null and alternate hypotheses. - Null Hypothesis (\(H_0\)): __________ - Alternate Hypothesis (\(H_1\)): _________ - This hypothesis test is a [Choose one] test.**Note:**- The hypotheses are to be filled in where the boxes are shown.- The type of test should be selected from a dropdown menu.

From the given information our claim is : the mean commute time is less than 25 minutesClaim:

Answered: Commuting to work: A community survey…

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 test was administered for a group of 400 students and scores were obtained. The scores are approximately normally distributed with a mean of 65 and standard deviation of 4.5. What are the scores within which approximately 95% of the total test scores fall?
what measure of variability is to be computed with a median
Entrance exam scores at Cititon University are normally distributed with a mean of 552 and a standard deviation of 29. If scholarships are awarded to the top 10% of scores, what is the minimum score needed to guarantee a scholarship?
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Humerus bones from the same species of animal have approximately the same length-to-width ratios. It is known that Species A has a mean ratio of 5.9. Suppose that 100 fossil humerus bones were unearthed at a site where Species A is known to have flourished. (We assume that all bones are from the same species.) The length-to-width ratios of these bones have a sample mean 5.6 and sample standard deviation 0.25. Can we conclude that the mean ratio of these bones is significantly smaller than those of Species A? Test with a 0.01 significance level. What is the standard error?
A fruit grower wants to test a new spray that a manufacturer claims will reduce the loss due to insect damage. She sprays 20 trees with the new spray and 20 trees with the standard spray. The following data were recorded: New Spray Standard Spray Mean yield per tree(lb) 240 227 Standard deviation 31.3 28.6 Do the data provide evidence that the new spray increases the yield per tree?
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