Air quality is of concern to everyone. One measure is the number
of micrograms of particulate present per cubic meter of air. In a
small city in South Dakota, data was obtained for five randomly
selected 24-hour periods during June. These readings are
45,
50,
62,
57, 70
- Construct a normal probability plot. Is it plausible that the
given sample observations were selected from a normal
distribution?
- Calculate the sample mean and sample standard deviation and use
the correct symbol to identify each sample statistic
- Calculate a 95% confidence interval for the true average
micrograms of particulate present per cubic meter of air. Interpret
this confidence interval.
- Predict the micrograms of particulate present per cubic meter
of air resulting from a single future reading by calculating a 95%
prediction interval. Compare the width of this interval to the
width of the confidence interval in part (C).
- Calculate an interval for which you have a high degree of
confidence that at least 95% of all 24-hour periods will have
readings between the limits of the interval.