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 12 families from a rural area and finds that they have an average income of $67255 with a standard deviation of $570. He then selects 22 families from a urban area and finds that they have an average income of $66577 with a standard deviation of $939. Perform a hypothesis test using a significance level of 0.10 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are: © Ho: μι < με HA:μι > μ2(claim) Ο Ho: μι Σ μ2 HAM12(claim) O Ho: M₁ = H2 1 HA: 12(claim) Since the level of significance is 0.10 the critical value is 1.309 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)

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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 12 families from a rural area and finds that they
have an average income of $67255 with a standard deviation of $570. He then selects 22 families from a
urban area and finds that they have an average income of $66577 with a standard deviation of $939.
Perform a hypothesis test using a significance level of 0.10 to help him decide.
Let the rural families be sample 1 and the urban families be sample 2.
The correct hypotheses are:
Ho: 1 ≤ 2
HA:μι > μ2(claim)
Ο Ηο: μι 2 μ2
HAM12(claim)
O Ho: 1 = ₂
HA: 12(claim)
Since the level of significance is 0.10 the critical value is 1.309
(round to 3 places)
The test statistic is:
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 12 families from a rural area and finds that they have an average income of $67255 with a standard deviation of $570. He then selects 22 families from a urban area and finds that they have an average income of $66577 with a standard deviation of $939. Perform a hypothesis test using a significance level of 0.10 to help him decide. Let the rural families be sample 1 and the urban families be sample 2. The correct hypotheses are: Ho: 1 ≤ 2 HA:μι > μ2(claim) Ο Ηο: μι 2 μ2 HAM12(claim) O Ho: 1 = ₂ HA: 12(claim) Since the level of significance is 0.10 the critical value is 1.309 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)
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