Question: Directions- Determine the null and alternative hypothesis for the following problems. 1.The mean area of several thousand apartments in a new development is advertised to

Directions- Determine the null and alternative hypothesis for the following problems.

1.The mean area of several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicions.

2. Larry's car averages 32 miles per gallon on the highway. He now switched to a new motor oil that is advertised as increasing gas mileage. After driving 3000 highway miles with his new oil, he wants to determine if his gas mileage has increased.

3. Census Bureau data show that the mean household income in the area served by a shopping mall is $52,500 per year. Amarket research group questions shoppersat the mall to find out whether the mean household income of mall shoppers is higher than that of the general public.

4. Last year, your company's service technicians took an average of 2.5 hours to respond to trouble calls from business customers who had purchased service contracts. make this year's data shoe a different average response time?

5.Todetermine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected, and tests are conducted on each weld in the sample. Weld strength is measured as the force required to break the weld.Supposed that the specifications state that the mean strength of welds should exceed 100lb/in.

6. A large manufacturing plant monitors the proportion of defective items produced.Toreduce this proportion, the plane has implemented a program of statistical quality control (SQC). Assume that the proportion of defectives before SQC was .01.

7. A manufacturer of hand-held calculators receives large shipments of printer circuits from its supplier. It is too costly and time consuming to inspect all incoming circuits, so when each shipment arrives a sample is selected for inspection. If the null hypothesis is not rejected, the shipment isaccepted,and the circuits are used in the production of calculators.

A. State the null and alternative hypotheses.

B. Identify the 4 possible outcomes of testing the hypothesis.

C. Identify the Type I and Type II errors.

D. From the calculator manufacturer's point of view, which error would be considered more

serious and why?

E. From the circuit supplier's point of view, which error would be considered more serious

and why?

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