Chapter 13: Q. 11 (page 547)
Consider a curve with
Find the value with an area to its right.
Short Answer
From the above plot the value with area to its right is .
Chapter 13: Q. 11 (page 547)
Consider a curve with
Find the value with an area to its right.
From the above plot the value with area to its right is .
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Get started for freeIn one-way ANOVA, identify a statistic that measures
a. the variation among the sample means.
b. the variation within the samples.
Explain the reason for the word variance in the phrase analysis of variance.
a. Obtain individual normal probability plots and the standard deviations 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 and the data is reasonable. If so, also do parts .
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 from which the samples were taken.
e. Interpret your results from part (d).
Weight Loss and BMI. In the paper "Voluntary Weight Reduction in Older Men Increases Hip Bone Loss: The Osteoporotic Fractures in Men Study" (Journal of Clinical Endocrinology & Metabolism, Vol. 90, Issue 4. Pp. ), K. Ensrud et al. reported on the effect of voluntary weight reduction on hip bone loss in older men. In the study, 1342 older men participated in two physical examinations an average of years apart. After the second exam, they were categorized into three groups according to their change in weight between exams: weight loss of more than , weight gain of more than , and stable weight (between loss and gain). For purposes of the hip bone density study, other characteristics were compared, one such being body mass index (BMI). On the Weissstats site, we provide the BMI data for the three groups, based on the results obtained by the researchers.
Following are the notations for the three sums of squares. State the name of each sum of squares and the source of variation each sum of squares represents.
a. SSE
b. SSTR
c. SST
A study by E. Anionwu et al. published as the paper "Sickle Cell Disease in a British Urban Community", measured the steady-state hemoglobin levels of patients with three different types of sickle cell disease: HB SS, HB ST and HB SC. The data are presented on the WeissStats site.
a. Obtain individual normal probability plots and the standard deviations of the sample.
b. Perform a residual analysis
c. use your results from part (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\(5%\) significance level whether, the data provide sufficient evidence to conclude that a difference exists among the means of the populations from which the samples were taken.
e. Interpret your results from part (d).
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