A researcher is interested in seeing if the average income of rural families is less than that of urbanfamilies. To see if his claim is correct he randomly selects 57 families from a rural area and finds that theyhave an average income of $67821 with a population standard deviation of $748. He then selects 42families from a urban area and finds that they have an average income of $67633 with a populationstandard deviation of $616. Perform a hypothesis test using a significance level of 0.05 to test his claim.Let rural families be sample 1 and urban familis be sample 2.The correct hypotheses are:Ο Ηο: μι < μεHA: μι > μ2(claim)© Ho: μι 2 μ2HAM1₂(claim)O Ho: ₁ = ₂HAM12(claim)Since the level of significance is 0.05 the critical value is -1.645The test statistic is:(round to 3 places)The p-value is:(round to 3 places)

GivenFor rural families n1=57x1=67821σ1=748For urban familiesn2=42x2=67633σ2=616α=0.05Critical value…

Answered: A researcher is interested in seeing if…

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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At a certain university, the average cost of books was $390 per student last semester and the population standard deviation was $75. This semester a sample of 55 students revealed an average cost of books of $415 per student. The Dean of Students believes that the costs are greater this semester. What is the test value for this hypothesis?
A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 250 students in evening classes and finds that they have a mean test score of 76.8. He knows the population standard deviation for the evening classes to be 7.2 points. A random sample of 200 students from morning classes results in a mean test score of 77.8. He knows the population standard deviation for the morning classes to be 1.9 points. Test his claim with a 90% level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 250 students in evening classes and finds that they have a mean test score of 88.1. He knows the population standard deviation for the evening classes to be 4.2 points. A random sample of 150 students from morning classes results in a mean test score of 89.1. He knows the population standard deviation for the morning classes to be 7.7 points. Test his claim with a 95 % level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
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A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 250 students in evening classes and finds that they have a mean test score of 76.8. He knows the population standard deviation for the evening classes to be 7.2 points. A random sample of 200 students from morning classes results in a mean test score of 77.8. He knows the population standard deviation for the morning classes to be 1.9 points. Test his claim with a 90% level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ1=μ2 Ha: μ1__μ2
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