Chapter 13: Q. 13.16 (page 532)
Regarding one-way , fill in the blanks in each of Exercises
13.16 A measure of variation within the samples is called the--------
The mathematical abbreviation for it is----------
A measure of variation within the samples is called the Error mean square.
The mathematical abbreviation is .
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Fill in the missing entries in the partially completed one-way ANOVA table
Minke Whales. Entanglement of marine mammals in fishing gear is a global issue and a significant threat to minke whales, in particular. In the article "Fishing gears involved in Entanglements of Minke Whales (Balaenoptera acutorostrata) in the East Sea of Korea" (Marine Mammal Science, Vol. , No. , Pp, ), K Song et al, studied the body lengths of minke whales entangled near Korea. The following table provides summary statistics for the body lengths of minke whales entangled at different ocean depths. Both variables, body length and ocean depth are in meters.
At the significance level, do the data provide sufficient evidence to conclude that a difference exists in mean body length among minke whales entangled at the four different depths? Note: For the degrees of freedom in this exercise:
What symbol is used to denote the -value having area to its right? to its right? to its right?
Breast Milk and IQ. Considerable controversy exists over whether long-term neurodevelopment is affected by nutritional factors in early life. A. Lucas and R. Morley summarized their findings on that question for preterm babies in the publication "Breast Milk and Subsequent Intelligence Quotient in Children Born Preterm (The Lancet, Vol. 339, Issue 8788, Pp, 261-264). The researchers analyzed IQ data on children at age years. The mothers of the children in the study had chosen whether to provide their infants with breast milk within hours of delivery. The researchers used the following designations. Group I: mothers declined to provide breast milk; Group ll a: mothers had chosen but were unable to provide breast milk and Group Il b; mothers had chosen and were able to provide breast milk. Here are the summary statistics on IQ.
At the significance level, do the data provide sufficient evidence to conclude that a difference exists in mean IQ at age years for preterm children among the three groups? Note: For the degrees of freedom in this exercise:
Fish of Lake Laengelmaevesi. An article by J. Puranen of the Department of Statistics, University of Helsinki, discussed a classic study on several variables of seven different species of fish caught in Lake Laengelmaevesi, Finland. On the Weiss Stats site, we present the data on weight (in grams) and length (in centimeters) from the nose to the beginning of the tail for four of the seven species. Perform the required parts for both the weight and length data.
a. Obtain individual normal probability plots and the standard deviation of the samples.
b. Perform a residual analysis.
c. Use your results from parts (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so. also do parts (d) and (e).
d. Use a one-way ANOVA test to decide, at the significance level, Whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations fewer than the samples were taken.
e. Interpret your results from part (d)
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