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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: Ο Ho: μι < με HA: 1 ₂ (claim) Ο Ηρ: μι 2 με HAM1 M2(claim) O Ho: ₁ = 2 P1 HA: M1 M2(claim) Since the level of significance is 0.10 the critical value is 1.309 (round to 3 places) The p-value is: The test statistic is: (round to 3 places)

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: Ο Ho: μι < με HA: 1 ₂ (claim) Ο Ηρ: μι 2 με HAM1 M2(claim) O Ho: ₁ = 2 P1 HA: M1 M2(claim) Since the level of significance is 0.10 the critical value is 1.309 (round to 3 places) The p-value is: The test statistic is: (round to 3 places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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