Oven cooking study. Refer to Exercise 5.37 (p. 274). Suppose that we want to estimate the average decay rate of fine particles produced from oven cooking or toasting to within .04 with 95% confidence. How large a sample should be selected?
Exercise 5.37
Oven cooking study. 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 in ¿im/hour) for fine particles produced from oven cooking or toasting was recorded on six randomly selected days. The six measurements obtained are as follows:
DECAY
.95 | .83 | 1.20 | .89 | 1.45 | 1.12 |
Source: Abt, E., et al. “Relative contribution of outdoor and indoor particle sources to indoor concentrations.” Environmental Science &Technology, Vol. 34, No. 17, Sept. 1,2000 (Table 3).
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 interprétation of part a.
c. What must be true about the distribution of the population of decay rates for the inference you made in part a to be valid?
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