Question # 1. An article in Environment International (Vol. 18, No. 4, 1992) described an
experiment in which the amount of radon released in showers was investigated. Radon-enriched
water was used in the experiment, and six different orifice diameters were tested in shower
heads. The data from the experiment are shown in the following table
Orifice
Diameter Radon Released (%)
0.37 80 83 83 85
0.51 75 75 79 79
0.71 76 76 83 77
1.02 67 72 84 74
1.4 62 65 88 85
1.99 60 61 64 66
a. Does the size of the orifice affect the mean percentage of radon released? What conclusions
would you draw? Use 05.0 .
b. Find the P-value for the F-statistic in part (a)
c. Find a 95% confidence interval on the mean percent of radon released when the orifice
diameter is 1.40.
Question # 2. The results of an experiment involving a storage battery used in the launching
mechanism of a shoulder-fired ground-to-air missile were presented. Three material types can be
used to make the battery plates. The objective is to design a battery that is relatively unaffected
by the ambient temperature. The output response from the battery is effective life in hours. Three
temperature levels are selected, and a factorial experiment with four replicates is run. The data
are as follows:
Test the appropriate hypotheses and draw conclusions using the analysis of variance with
05.
Note: – Must be typed and submitted using MS -Word format ONLY. Use Excel to crate the
ANOVA then copy your ANOVA table into the word document and answer the questions. You
need to show your work (ANOVA Tables and formulas and calculations for part C( Question #1)
to receive full credit)