Commute times in the U.S. are heavily skewed to the right. We select a random sample of 61people from the 2000 U.S. Census who reported a non-zero commute time.In this sample the mean commute time is 29.1 minutes with a standard deviation of 18.8minutes. Can we conclude from this data that the mean commute time in the U.S. is less thanhalf an hour? Conduct a hypothesis test at the 5% level of significance.Do the hypothesis test.Use the unrounded values in Excel to find the answer for #4.1. Find the t value.2. This is an example of a3. The degrees of freedom are--4. Find the p-value.-5. We shouldhypothesis test.the null hypothesis.

Answered: Commute times in the U.S. are heavily…

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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Two species of fish have similar phenotypes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes? b. What is the power of the test? How does power of the test help the researchers to decide if they can classify these fish species based on their sizes?
A quiz related to digital knowledge was conducted. The quiz had 10 questions and covered topics such as the purpose of browser cookies, phishing scams, and privacy policies. The survey was given to 50 people. The mean score is 4.1 with a standard deviation of 2.6. We want to know if the data provide evidence that the mean score in the population is lower than 5. We will use alpha = 0.05 to make our decision. What is the null hypothesis for this question? Group of answer choices a. The proportion of people who pass the test is 5. b. The mean test score of the population is 5. c. The mean test score of the 50 people who took the test is 5. d.The standard deviation is 2.6
The College Board reports that the scores on the math SAT were normally distributed with a mean of 525. A random sample of 15 students at your high school had a mean of 550 and a sample standard deviation of 105. What values of the sample mean would lead to rejection of the null hypothesis at the 0.01 level of significance?
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Two species of fish have similar phenotvpes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes?
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Arbitron Media Research Incorporated conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 11 men was 30 minutes per day. The standard deviation was 13 minutes per day. The mean listening time for a sample of 18 women was also 30 minutes, but the standard deviation of the sample was 13 minutes. At the 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women?a. State the null and alternate hypotheses.multiple choice H0: σ12 = σ22 and H1: σ12 ≠ σ22 H0: σ12 = σ22 and H1: σ12 = σ22 H0: σ12 ≠ σ22 and H1: σ12 ≠ σ22 H0: σ12 ≤ σ22 and H1: σ12 > σ22 b. State the decision rule. (Round your answer to 2 decimal places.) c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) d. Compute the p-value. (Round your answer to 4 decimal places.) e. What…
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Historically, the mean age of all Memphis residents has been 40 years. You believe this has changed. You take a random sample of 130 Memphis residents and find that their mean age is 36 years with a standard deviation of 17 years. Can you conclude that the mean age of all Memphis residents has changed from 40 years. For the hypothesis testing scenario above, compute the test statistic. For the hypothesis testing scenario above, you conclude that the mean age of all Memphis residents has changed from 40 years at the 0.05 significance level. Compute the 95% confidence interval to estimate the mean age of all Memphis residents.

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