as ation of $713. Perform a h lies be sample 1 and urbar vpotheses are: > l2(claim) < µ2(claim)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A researcher is interested in seeing if the average income of rural families is different than that of urban
families. To see if his claim is correct he randomly selects 53 families from a rural area and finds that they
have an average income of $66471 with a population standard deviation of $733. He then selects 37
families from a urban area and finds that they have an average income of $67919 with a population
standard deviation of $713. 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:
O Ho: µ1 < M2
HA: H1 > H2(claim)
Ο Η: μι μ2
HA: H1 < µ2(claim)
O Ho:µ1 = µ2
HA: H1 + u2(claim)
Since the level of significance is 0.05 the critical value is 1.96 and -1.96
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 different
than that of urban families.
O There is not enough evidence to reject the claim that the average income of rural families is
different than that of urban families.
O There is enough evidence to support the claim that the average income of rural families is different
than that of urban families.
O There is not enough evidence to support the claim that the average income of rural families is
different than that of urban families.
Transcribed Image Text:A researcher is interested in seeing if the average income of rural families is different than that of urban families. To see if his claim is correct he randomly selects 53 families from a rural area and finds that they have an average income of $66471 with a population standard deviation of $733. He then selects 37 families from a urban area and finds that they have an average income of $67919 with a population standard deviation of $713. 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: O Ho: µ1 < M2 HA: H1 > H2(claim) Ο Η: μι μ2 HA: H1 < µ2(claim) O Ho:µ1 = µ2 HA: H1 + u2(claim) Since the level of significance is 0.05 the critical value is 1.96 and -1.96 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 different than that of urban families. O There is not enough evidence to reject the claim that the average income of rural families is different than that of urban families. O There is enough evidence to support the claim that the average income of rural families is different than that of urban families. O There is not enough evidence to support the claim that the average income of rural families is different than that of urban families.
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