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A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct he randomly selects 48 families from a rural area and finds that they have an average income of $67987 with a population standard deviation of $666. He then selects 51 families from a urban area and finds that they have an average income of $69455 with a population standard deviation of $776. Perform a hypothesis test using a significance level of 0.01 to test his claim. Let rural families be sample 1 and urban familis be sample 2.

A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct he randomly selects 48 families from a rural area and finds that they have an average income of $67987 with a population standard deviation of $666. He then selects 51 families from a urban area and finds that they have an average income of $69455 with a population standard deviation of $776. Perform a hypothesis test using a significance level of 0.01 to test his claim. Let rural families be sample 1 and urban familis be sample 2.

MATLAB: An Introduction with Applications
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 researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct he randomly selects 48 families from a rural area and finds that they have an average income of $67987 with a population standard deviation of $666. He then selects 51 families from a urban area and finds that they have an average income of $69455 with a population standard deviation of $776. Perform a hypothesis test using a significance level of 0.01 to test his claim. Let rural families be sample 1 and urban familis be sample 2. The correct hypotheses are: O Ho: µ1 < H2 HA: H1 > µ2(claim) O Ho:µ1 2 µ2 HA: H1 < 42(claim) O Ho: µ1 = µ2 HA: H1 + 42(claim) Since the level of significance is 0.01 the critical value is 2.326 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
Transcribed Image Text:A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct he randomly selects 48 families from a rural area and finds that they have an average income of $67987 with a population standard deviation of $666. He then selects 51 families from a urban area and finds that they have an average income of $69455 with a population standard deviation of $776. Perform a hypothesis test using a significance level of 0.01 to test his claim. Let rural families be sample 1 and urban familis be sample 2. The correct hypotheses are: O Ho: µ1 < H2 HA: H1 > µ2(claim) O Ho:µ1 2 µ2 HA: H1 < 42(claim) O Ho: µ1 = µ2 HA: H1 + 42(claim) Since the level of significance is 0.01 the critical value is 2.326 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the average income of rural families is greater than that of urban families. O There is not enough evidence to reject the claim that the average income of rural families is greater than that of urban families. O There is enough evidence to support the claim that the average income of rural families is greater than that of urban families. O There is not enough evidence to support the claim that the average income of rural families is greater than that of urban families.
Transcribed Image Text:The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the average income of rural families is greater than that of urban families. O There is not enough evidence to reject the claim that the average income of rural families is greater than that of urban families. O There is enough evidence to support the claim that the average income of rural families is greater than that of urban families. O There is not enough evidence to support the claim that the average income of rural families is greater than that of urban families.
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