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A researcher is interested in seeing if the average income of rural families is less than that of urban families. To see if his claim is correct he randomly selects 23 families from a rural area and finds that they have an average income of $69033 with a standard deviation of $591. He then selects 24 families from a urban area and finds that they have an average income of $65076 with a standard deviation of $846. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are: Ho:µ1 < 42 HA: µ1 > µ2(claim) Ho: µ1 2 µ2 HA: H1 < H2(claim) Ho: µ1 = µ2 HA:µ1 # µ2(claim) Since the level of significance is 0.01 the critical value is -2.42 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)

A researcher is interested in seeing if the average income of rural families is less than that of urban families. To see if his claim is correct he randomly selects 23 families from a rural area and finds that they have an average income of $69033 with a standard deviation of $591. He then selects 24 families from a urban area and finds that they have an average income of $65076 with a standard deviation of $846. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are: Ho:µ1 < 42 HA: µ1 > µ2(claim) Ho: µ1 2 µ2 HA: H1 < H2(claim) Ho: µ1 = µ2 HA:µ1 # µ2(claim) Since the level of significance is 0.01 the critical value is -2.42 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)

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
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A researcher is interested in seeing if the average income of rural families is less than that of urban families. To see if his claim is correct he randomly selects 23 families from a rural area and finds that they have an average income of $69033 with a standard deviation of $591. He then selects 24 families from a urban area and finds that they have an average income of $65076 with a standard deviation of $846. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are: Ho:µ1 < 42 HA: µ1 > µ2(claim) Ho: µ1 2 µ2 HA: H1 < H2(claim) Ho: µ1 = µ2 HA:µ1 # µ2(claim) Since the level of significance is 0.01 the critical value is -2.42 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 less than that of urban families. To see if his claim is correct he randomly selects 23 families from a rural area and finds that they have an average income of $69033 with a standard deviation of $591. He then selects 24 families from a urban area and finds that they have an average income of $65076 with a standard deviation of $846. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are: Ho:µ1 < 42 HA: µ1 > µ2(claim) Ho: µ1 2 µ2 HA: H1 < H2(claim) Ho: µ1 = µ2 HA:µ1 # µ2(claim) Since the level of significance is 0.01 the critical value is -2.42 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
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The descriptive statistics is given as follows

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Significance level = 0.01

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