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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An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 40 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% significance level? Part (a) State the null hypothesis. H0: ? < 4.5 H0: ? ≠ 4.5 H0: ? ≥ 4.5 H0: ? = 4.5 Part (b) State the alternative hypothesis. Ha: ? > 4.5 Ha: ? ≠ 4.5 Ha: ? ≥ 4.5 Ha: ? = 4.5 Part (c) In words, state what your random variable X represents. X represents the average number of students who receive an undergraduate degree in California. X represents the length of time it takes a student to finish his or her undergraduate degree. X represents the average number of students in the California university system. X represents the average length of time it takes…
Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7.16 kilograms. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.90 kilograms. Can you conclude that the mean weight loss differs between the two diets? Let 4, denote the mean weight lost on the low-carb diet and u, denote the mean weight lost on the low-fat diet. Use the a = 0.01 level and the TI-84 Plus calculator. Compute the -value. Round the answer to four decimal places. Determine whether to reject H0 State a conclusion
On the PSAT test taken by about 1.5 million high school juniors each year, the mean score on the reading portion of the test was 46.9, with a standard deviation of 10.9. The scores are normally distributed. If a student needed a score on this portion of the test that put them in the top 5% of scores nationally to qualify for a particular scholarship, what is the minimum score they must achieve?
Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national mean is $45,661, but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 61 colleges in the state and calculate a mean salary of $43,024 with a standard deviation of $13,132. Test the instructors' claim at the 0.05 level of significance. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Fuel efficiency of Prius: Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is: (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…
According to the Statistical Abstract of the United States, the mean family size in 2010 was 3.14 persons. Suppose a random sample of 225 families taken this year yields a sample mean size of 3.05 persons, and suppose we assume the population standard deviation of family sizes is o = 1 person. Using a 5% significance level, test the hypothesis that the mean family size has decreased since 2010. Perform your hypothesis test, and select the best interpretation of your results from the choices below. Select one: O a. At the 5% level of significance the data are statistically significant. We cannot determine the average family size has decreased since 2010. O b. At the 5% level of significance the data are statisticall significant. We can determine the average family size has decreased since 2010. O c. At the 5% level of significance the data is not statistically significant. We cannot conclude the average family size has decreased since 2010. O d. At the 5% level of significance the data…
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In a study of birth order and intelligence, IQ tests were given to 18- and 19-year-old men to estimate the size of the difference, if any, between the mean IQs of firstborn sons and secondborn sons. The following data for 10 firstborn sons and 10 secondborn sons are consistent with the means and standard deviations reported in the article. It is reasonable to assume that the samples come from populations that are approximately normal. Can you conclude that the mean IQ of firstborn sons is greater than the mean IQ of secondborn sons? Let μ1 denote the mean IQ of firstborn sons and μ2 denote the mean IQ of secondborn sons. Use the α = 0.01 level and the P-value method with the table. Firstborn 128 101 128 112 121 105 122 98 106 108 Secondborn 121 125 110 107 114 93 80 94 91 83 Part(a): State the appropriate null and alternate hypotheses. H0: H1: This is a _____…
The average salary for nurses was reported to be $54,574. A random sample of 1000 nurses yielded amean salary of $56,300 with a standard deviation of $6500. Using the 2.5% significance level can youconclude that the current mean salary for nurses exceeds $54,574?State the hypotheses_________________________________________________________________Will you use z or t? ________ Why? ______________________________________________________Describe your test in terms of the sampling distribution. A bell curve is a great way to visualize it!p-value approachWhat will prompt you to reject H0?_____________________________________Calculate the Test Statistic:What is the p-value? _____________________critical value approachWhat is the ‘critical’ z or t value? ___________What will prompt you to reject H0?_____________________________________Calculate the Test Statistic:Evaluate the results.Make the appropriate comparison: _____________________________________________________Do you reject or fail to…
Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national mean is $59,739 , but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 46 colleges in the state and calculate a mean salary of $55,618 with a standard deviation of $10,891 . Test the instructors' claim at the 0.10 level of significance. Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places.

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