Chapter 11: Problem 2
Basic Definitions Define the terms given. Observational study
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 11: Problem 2
Basic Definitions Define the terms given. Observational study
These are the key concepts you need to understand to accurately answer the question.
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Get started for freePhysicians depend on laboratory test results when managing medical problems such as diabetes or epilepsy. In a test for glucose tolerance, three different laboratories were each sent \(n_{t}=5\) identical blood samples from a person who had drunk 50 milligrams (mg) of glucose dissolved in water. The laboratory results (in \(\mathrm{mg} / \mathrm{d} \mathrm{l}\) ) are listed here: $$ \begin{array}{lrl} \hline \text { Lab 1 } & \text { Lab 2 } & \text { Lab 3 } \\ \hline 120.1 & 98.3 & 103.0 \\ 110.7 & 112.1 & 108.5 \\ 108.9 & 107.7 & 101.1 \\ 104.2 & 107.9 & 110.0 \\ 100.4 & 99.2 & 105.4 \\ \hline \end{array} $$ a. Do the data indicate a difference in the average readings for the three laboratories? b. Use Tukey's method for paired comparisons to rank the three treatment means. Use \(\alpha=.05 .\)
A randomized block design has \(k=3\) treatments, \(b=6\) blocks, with \(S S T=11.4, S S B=17.1\), and Total \(S S=42.7 . \bar{T}_{A}=21.9\) and \(\bar{T}_{B}=24.2 .\) Construct an ANOVA table showing all sums of squares, mean squares, and pertinent \(F\) -values. Then use this information to answer the questions. Do the data provide sufficient evidence to indicate that blocking was effective? Justify your answer.
The cost of auto insurance varies by coverage, location, and the driving DSI121 record of the driver. The following are estimates of the annual cost for standard coverage as of January 19,2018 for a male driver with \(6-8\) years of experience, driving a Honda Accord \(12,600-15,000\) miles per year with no accidents or violations. \({ }^{4}\) (These are quotes and not premiums.) $$ \begin{array}{lccccc} \hline & \text { All- } & 21 \text { st } & & & \text { State } \\ \text { City } & \text { state } & \text { Century } & \text { Nationwide } & \text { AAA } & \text { Farm } \\ \hline \text { Long Beach } & \$ 3447 & \$ 3156 & \$ 3844 & \$ 3063 & \$ 3914 \\\ \text { Pomona } & 3572 & 3108 & 3507 & 2767 & 3460 \\ \text { San Bernardino } & 3393 & 3110 & 3449 & 2727 & 3686 \\ \text { Moreno Valley } & 3492 & 3300 & 3646 & 2931 & 3568 \\ \hline \end{array} $$ a. What type of design was used in collecting these data? b. Is there sufficient evidence to indicate that insurance premiums for the same type of coverage differs from company to company? c. Is there sufficient evidence to indicate that insurance premiums vary from location to location? d. Use Tukey's procedure to determine which insurance companies listed here differ from others in the premiums they charge for this typical client. Use \(\alpha=.05 .\) e. Summarize your findings.
Find a confidence interval estimate for \(\mu_{1}\) and for the difference \(\mu_{1}-\mu_{2}\) using the information given. Refer to Exercise \(2 . \mathrm{MSE}=6.67\) with 20 degrees of freedom, \(\bar{x}_{1}=88.0\) and \(\bar{x}_{2}=83.9,90 \%\) confidence.
What are the assumptions needed for the results of Tukey's test to be valid?
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