Question

The SEP wants to consider a new academic program sponsored by the University of Veracruz. In order to be considered for federal funding, the median family income must not exceed $1,500. The SEP hired a research firm to gather the necessary data. In its report, the firm indicated that the median income in the area is $1,700. It also noted that 75 families were studied and that the standard deviation of the population is $300. Is it possible for the SEP to argue that the difference between the median income resulting from the sample research and the mean specified by the SEP is due to chance (sampling)? Use the 0.05 level.

          The SEP wants to consider a new academic program sponsored by the University of Veracruz. In order to be considered for federal funding, the median family income must not exceed $1,500. The SEP hired a research firm to gather the necessary data. In its report, the firm indicated that the median income in the area is $1,700. It also noted that 75 families were studied and that the standard deviation of the population is $300. Is it possible for the SEP to argue that the difference between the median income resulting from the sample research and the mean specified by the SEP is due to chance (sampling)? Use the 0.05 level.

Added by Sonia L.

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