Showing work includes, but is not limited to: formulas, graphs and calculations. If you use the web calculator, StatCrunch, Minitab, Excel, Table V, etc… to find your probabilities, you must include your output with your answer

**Question #1:** For each of the following
questions, decide whether or not the sample data can be used to
construct a confidence interval. **DO NOT** construct
any of the intervals, *just determine if the data meet the
criteria for constructing an interval*. Provide
evidence for, or explain, why you believe the sample data does or
does not meet the criteria.

To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed. The FDA tests on this cigarette gave a mean nicotine content of 23.4 milligrams and standard deviation of 2.5 milligrams for a sample of n = 16 cigarettes.

Sample data **can be used** to construct a
confidence interval for µ____

Sample data **should not** be used to construct a
confidence interval for µ ____

b) The NYS Department of Transportation is trying to determine if the “Hands-Free cell phone law” is effective. A survey of 562 non-fatal accidents (in NYS over the last 2 years) showed that 247 involved the use of a cell phone.

Sample data **can be used** to construct a
confidence interval for p____

Sample data **should not** be used to construct a
confidence interval for p ____

c) The mean replacement time for a random sample of 21 microwave ovens is 7.6 years with a standard deviation of 2.4 years. The distribution of lifetimes of microwave ovens is known to be skewed left.

Sample data **can be used** to construct a
confidence interval for σ____

Sample data **should not** be used to construct a
confidence interval for σ ____

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