dolution
dolution.
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dolution.
dolution.
dolution.
Natalie,
her husband, her son, and four additional friends are
driving in two vehicles to the seashore. (a) If all seven people can drive, how many ways can
the two drivers be selected? (Everyone wants to
drive the sports car, so it is important which driver
gets which car.)
(b) If the sports car must be driven by Natalie, her
husband, or their son, how many ways can the
drivers now be determined?
(c) If the sports car will accommodate only two people,
and there are no other restrictions, how many
ways can both drivers and passengers be assigned
to both cars?
dolution.
Soil Testing A researcher took water samples from a stream running through a forest and groundwater in the forest. The samples were collected over the course of a year. Each sample was analyzed for the concentration of dissolved organic carbon (mg/L) in it and categorized according to the type of water collected. Water was collected from streams (surface water), groundwater was collected from organic soil, and groundwater was collected from mineral soil. The researcher wanted to determine if the mean concentration of dissolved organic carbon was the same for each collection area. The results are presented in the following table.
(a) What is the response variable in this study?
(b) What is the factor? How many levels of treatment does the factor have?
(c) State the null and alternative hypotheses.
(d) A normal probability plot of each sample (organic, mineral, and surface) indicates the data come from a normally distributed population. Use the following summary statistics from StatCrunch to verify the equal population standard deviation requirement.
(e) Use the following StatCrunch output to test if the means are the same at the  level of significance.
(f) Interpret the -value.
(g) Shown are side-by-side boxplots of each type of collection area drawn in StatCrunch. Do the boxplots support the analytic results? Which collection area type appears to differ from the rest?
(h) The following display represents the results of Tukey’s test obtained from StatCrunch. Which pairwise means differ?
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