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Chapter 8: Q2E (page 458)
What are the treatments for a designed experiment with two factors, one qualitative with two levels (A and B) and one quantitative with five levels (50, 60, 70, 80, and 90)?
There are ten treatments (A,50), (A,60), (A,70), (A,80), (A,90), (B,50), (B,60), (B,70), (B,80), (B,90).
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Identify the rejection region for each of the following cases. Assume
a. ,b. ,
c. ,with
d. ,
Entrepreneurial careers of MBA alumni. Are African American MBA scholars more likely to begin their careers as entrepreneurs than white MBA scholars? This was a question of interest to the Graduate Management Admission Council (GMAC). GMAC Research Reports (Oct. 3, 2005) published the results of a check of MBA alumni. Of the African Americans who responded to the check, 209 reported their employment status after scaling as tone-employed or a small business proprietor. Of the whites who responded to the check, 356 reported their employment status after scaling as tone-employed or a small business proprietor. Use this information to answer the exploration question.
Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—has the potential to be an alternative low-calorie sweetener. In Plant Science (May2010), a group of Japanese environmental scientists investigated the ability of a hybrid tomato plant to produce miraculin. For a particular generation of the tomato plant, the amount x of miraculin produced (measured in micrograms per gram of fresh weight) had a mean of 105.3 and a standard deviation of 8.0. Assume that x is normally distributed.
a. Find.
b. Find.
c. Find the value a for which.
Drug content assessment. Scientists at GlaxoSmithKlineMedicines Research Center used high-performance liquidchromatography (HPLC) to determine the amountof drug in a tablet produced by the company (Analytical
Chemistry, Dec. 15, 2009). Drug concentrations (measuredas a percentage) for 50 randomly selected tablets are listedin the table below and saved in the accompanying file.
a. Descriptive statistics for the drug concentrations areshown at the top of the XLSTAT printout on the nextpage. Use this information to assess whether the dataare approximately normal.
b. An XLSTAT normal probability plot follows. Use thisinformation to assess whether the data are approximatelynormal.
91.28 92.83 89.35 91.90 82.85 94.83 89.83 89.00 84.62
86.96 88.32 91.17 83.86 89.74 92.24 92.59 84.21 89.36
90.96 92.85 89.39 89.82 89.91 92.16 88.67 89.35 86.51
89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74
86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20
93.44 86.77 83.77 93.19 81.79
Descriptive statistics(Quantitative data) | |
Statistic | Content |
Nbr.of Observation | 50 |
Minimum | 81.79 |
Maximum | 94.83 |
1st Quartile | 87.2725 |
Median | 89.375 |
3rd Quartile | 91.88 |
Mean | 89.2906 |
Variance(n-1) | 10.1343 |
Standard deviation(n-1) | 3.1834 |
4.132 Suppose xis a random variable best described by a uniform
probability distribution with c= 3 and d= 7.
a. Find f(x)
b. Find the mean and standard deviation of x.
c. Find
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