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FSU - STA 2171 - Class Notes - Week 10

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FSU - STA 2171 - Class Notes - Week 10

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background image Recommended Problems:Fourth Edition: 2.3.1, 2.3.2, 2.3.5, 2.3.11, 
2.4.5, 2.4.3, 2.6.3 Fifth Edition: 2.3.1, 2.3.2. 2.3.5, 2.3.11, 2.4.5, 2.4.3, 
Problems to be turned in:Fourth Edition: 2.2.1, 2.4.2, 2.3.12, 2.6.11Fifth 
Edition: 2.2.1, 2.4.2, 2.3.12, 2.6.11Complete the following problems as 
well. Note that no work is to be done on these pages.1.Suppose a 
constant, say a, is added to every value of a data set. Exactly how does 
this affect the mean, variance, and standard deviation when compared to 
the originals? Why? (No mathematical proof is needed.)2.Calculate the 
standard deviation of the following by hand (show all your work to 
receive full marks.):6, 12, 11, 13, 8, 103.Calculate the mean and 
standard deviation of each of the following samples by either calculator 
or computer:(i) 33, 37, 34, 38, 35, 44(ii) 33, 37, 34, 38, 35, 44, 14(iii) 
58, 70, 93, 92, 68, 574.A ficticious sample was taken on FSU’s campus 
to find students’ preferences of beverage in the morning. Use the 
following table to create a segmented bar chart. 
EC. 1  Prove that the sum of all deviations is always equal to zero. (Hint: Think
of the defiinition of the mean)E.C. 2Use R software to create a 
histogram and boxplot using the data from problem 2.6.11 For full credit
make sure to include labels. The options “xlab,” “ylab,” and “main” will 
be helpful for this. 
Recommended Problems:Fourth Edition: 3.2.7, 3.3.3, 3.6.2, 3.6.6, 3.6.7, 
4.3.1, 4.3.9 Fifth Edition: 3.2.8, 3.3.3, 3.6.3, 3.6.8, 3.6.9. 4.3.1, 4.3.9 
Problems to be turned in:Fourth Edition: 3.3.1, 3.3.2, 4.3.3Fifth Edition: 
3.3.1, 3.3.2, 4.3.3Complete the following problems as well. Note that no 
work is to be done on these pages.1.Suppose P(A or B) = 0.22, P(A and 
B) = 0.01 and P(B) = 0.12. Find the following(i) Represent this situation 
using a venn diagram(ii) P(A|B)(iii) P(B|A)(iv) Are A and B statistically
indepedent? Why?2.Assume that IQ’s are normally distributed with a 
background image mean of 100 and standard devation of 15. There are certain 
organizations, MENSA for instance, which only allow members that 
meet certain criteria. One particular organization only allows members 
that are at least two standard deviations above the mean in terms of IQ 
score. What percentage of the population can theoretically join this 
organization?3.Suppose that X follows a binomial distribution with a 
sample size of 40 and a probability of success of 0.75.(i) Find the 
probability of getting exactly 39 successes.(ii) Find the probability of 
getting at least 39 successes.(iii) Find the probability of getting at least 1
success.4.Use the normal approximation of the binomial distribution to 
approximate (ii) and (iii) from exercise 3.5.Suppose that X ∼ N(20,80). 
Note that the standard deviation is very large! Find a symmetric interval 
about the mean that contains:(i) 90% of the population distribution.(ii) 
95% of the population distribution.(iii) 99% of the population 
distribution.Note: While Empirical Rule can approximate some of these 
for us, we aren’t asked for approximations in this problem.EC. 1Prove 
that the sum of the probabilities of all possible events in a binomial 
random variable is equal to one. In other words show that 
j n − j j=0  p(1−p) =1  STA2171    EC. 2  Complete problem 3 using R. Include your code and results.  Recommended Problems:Fourth Edition: 6.3.5, 6.6.*, 6.7.6, 7.2.4, 7.2.14 Fifth 
Edition: 6.3.5, 6.6.*, 6.7.6, 7.2.4, 7.2.14 
Problems to be turned in:Fourth Edition: 6.3.6, 6.3.7, 6.7.7, 7.2.3, 7.2.11, 8.2.1, 

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School: Florida State University
Department: Math
Course: Statistics for Bio
Term: Spring 2016
Tags: Biology, Statistics, Math, Biostat, and Biostatistics
Name: Biostats Class Notes/ Assignment Practice
Description: Biostatistics problems
Uploaded: 10/28/2017
4 Pages 26 Views 20 Unlocks
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