Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 18 people making inquiries at the first development is $162,000, with a standard deviation of $40,000. A corresponding sample of 29 people at the second development had a mean of $181,000, with a standard deviation of $29,000. Assume the population standard deviations are the same. At the 0.01 significance level, can Fairfield conclude that the population means are different? At the 0.01 significance level, can Fairfield conclude that the population means are different?

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Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 18 people making inquiries at the first development is $162,000, with a standard deviation of $40,000. A corresponding sample of 29 people at the second development had a mean of $181,000, with a standard deviation of $29,000. Assume the population standard deviations are the same. At the 0.01 significance level, can Fairfield conclude that the population means are different?

At the 0.01 significance level, can Fairfield conclude that the population means are different?

c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal
places.)
p-value
d. What is your decision regarding the null hypothesis?
O Do not reject Ho
O Reject Ho
e. Interpret the result.
The data indicates that the population means are
Transcribed Image Text:c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) p-value d. What is your decision regarding the null hypothesis? O Do not reject Ho O Reject Ho e. Interpret the result. The data indicates that the population means are
a. What are the null and alternate hypotheses?
O Ho: 1= H2 Hii M1# H2
Ho: H1Z H2 H: M# H2
O Ho: H1# H2 Hhi H1=H2
b. Compute the test statistic. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal
places.)
Test statistic
Transcribed Image Text:a. What are the null and alternate hypotheses? O Ho: 1= H2 Hii M1# H2 Ho: H1Z H2 H: M# H2 O Ho: H1# H2 Hhi H1=H2 b. Compute the test statistic. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.) Test statistic
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