A group of Harvard University School of Public Health researchers studied the impact of cooking on the size of indoor air particles. (Environmental Science & Technology, September 1, 2000.) The decay rate (measured as mm/hour) for fine particles produced from oven cooking or toasting was recorded on six randomly selected days. These six measurements are:

a. Find and interpret a 95% confidence interval for the true average decay rate of fine particles produced from oven cooking or toasting.
b. Explain what the phrase “95% confident” implies in the interpretation of part a.
c. What must be true about the distribution of the population of decay rates for the inference to be valid?

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DECAY .95 .83 1.20 .89 1.45 1.12