|STAT 13 (1a,
1b, 1c, 1d)
Methods for the Life and Health Science
|Department of Statistics
Instructor: Ivo Dinov
|Due Date: Wednesday, Feb. 09, 2011
- (HW_4) Do the following problems using the interactive SOCR
Normal Distribution calculator. Include snapshots of all of your
work to support your findings.
- The brain weights
of adult Swedish males are approximately normally distributed with mean
μ = 1,300g and standard deviation 90g. Let Y denote the brain weight
of a randomly chosen person from this population. Calculate:
- P(Y <=1,390).
- P(1,325 <= Y <=1,425).
- P(1,350 <= Y).
- P(1,400 <= Y).
- P(1,400 <= Y <=1,500).
- P(1,300 <=Y <=1,350).
- The serum
cholesterol levels of 17-year-olds follows a normal distribution with
mean 176 mg/dLi and standard deviation 30 mg/dLi. What percentage of
17-year-olds have serum cholesterol values:
- 176 or less?
- 168 or more?
- 210 or less?
- 130 or more?
- between 176 and 206?
- between 123 and 157?
- between 155 and 186?
- Using the Hotdogs
Dataset, create separate normal
probability plots of the calories
variables. Do you consider either of these variables to be Normally
distributed? Do the distributions of these 2 variables appear similar?
- The litter size
of a certain population of female mice follows approximately a normal
distribution with mean 7.8 and standard deviation 2.0. Let Y be the
size of a randomly chosen litter. Use the Normal
Distribution calculator to find approximate
- P(Y <= 7)
- P(Y = 7)
- P(6 <= Y <= 11)
- A survey of mitochondrial
DNA variation in smelts
in a lake
revealed that 2 haplotypes
(genotypes) were present in the population.
30% of the fish were of haplotype A, and the remaining 70% were
haplotype B. If we sample 400 fish from the lake, what is the
- at least 130 are haplotype A?
- at least 300 are haplotype B?
- Between 115 and 145 are haplotype A?
- 160 or more are haplotype A?
- Simulate these experiments using the SOCR
Binomial Coin Experiment. Compare your exact calculations with the
results of your simulations.
heart rate was measured for a group of subjects; then the subjects
drank 6 ounces of coffee. Ten minutes later their heart rates were
measured again. The change in heart rate followed a normal
distribution, with mean increase of 6.9 beats per minute and a standard
deviation of 9.8. Let Y denote the
change in heart rate for a randomly
selected person. Find:
- P(Y > 9).
- P(Y > 19).
- P(6 < Y < 14).