|STAT 13 (1a,
1b, 1c, 1d)
Methods for the Life and Health Science
|Department of Statistics
Instructor: Ivo Dinov
|Due Date: Monday, Feb. 08, 2010
- (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 = 1,350g and standard deviation 95g. Let Y denote the brain weight
of a randomly chosen person from this population. Calculate:
- P(Y <=1,400).
- P(1,325 <= Y <=1,400).
- P(1,325 <= Y).
- P(1,450 <= Y).
- P(1,450 <= 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 more?
- 166 or less?
- 212 or less?
- 123 or more?
- between 176 and 206?
- between 123 and 157?
- between 155 and 186?
- The June
precipitation totals, in inches" for the city of Cleveland, OH are
given below. Use these values to create a normal probability plot of
the data. Do you consider these data to be Normally distributed?
- The litter size
of a certain population of female mice follows approximately a normal
distribution with mean 8.0 and standard deviation 2.1. Let Y be the
size of a randomly chosen litter. Use the Normal
Distribution 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 120 are haplotype A?
- at least 310 are haplotype B?
- Between 125 and 145 are haplotype A?
- 170 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; the subjects then
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 7.1 beats per minute and a standard
deviation of 10.9. Let Y denote the change in heart rate for a randomly
selected person. Find:
- P(Y > 9).
- P(Y > 19).
- P(6 < Y < 14).