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1) Pulte homes is developing two parcels near Medical Center in Houston, TX. In order to test different advertising approaches, they use different media to reach potential buyers. The mean annual family income for 85 customers making inquiries at the first development is $170K, with standard deviation of $45K. A corresponding sample of 110 customers at the second development had a mean of $190K, with standard deviation of $35K. At the 0.05 significance level, can pulte homes conclude that the population means are different?

2) A random sample of 30 observations from the first population revealed a sample mean of 305 and a sample standard deviation of 18. A random sample of 23 observations from the second population revealed a sample mean of 319 and a sample standard deviation of 25. At the 0.05 significance level, is there a difference in the population mean?

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