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UCLA Statistics, Neurology, LONI, Math/PIC

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STAT 13 (1a, 1b, 1c)	*Introduction to Statistical Methods for the Life and Health Science*
Department of Statistics	Instructor: Ivo Dinov
Homework 3	Due Date: Monday, Oct. 22, 2007

Please, submit your homework right before lecture on the due date. See the HW submission rules. On the front page include the following header.

(HW_3) Do the following problems on pages 131-147, Samuels & Witmer's text Statistics for the Life Sciences, Prentice Hall (2003).

4.3: The brain weights of adult Swedish males are approximately normally distributed with mean μ = 1,400g and standard deviation 100g. Let Y denote the brain weight of a randomly chosen person from this population. Calculate:

P(Y <=1,500).
P(1,325 <= Y <=1,500).
P(1,325 <= Y).
P(1,475 <= Y).
P(1,475 <= Y <=1,600).
P(1,200 <=Y <=1,325).

4.9: 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:

186 or more?
156 or less?
216 or less?
121 or more?
between 186 and 216?
between 121 and 156?
between 156 and 186?

4.19: 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 conclude that these data are Normally distributed?

Year	Rainfall	Normal_Score
1964	2.06	-0.94
1965	3.05	-0.52
1966	1.83	-1.23
1967	1.17	-1.71
1968	2.32	-0.71
1969	4.61	0.52
1970	4.98	0.94
1971	3.79	0.16
1972	9.06	1.71
1973	6.72	1.23
1974	3.57	-0.16
1975	4.10	0.33
1976	3.64	0.00
1977	4.91	0.71
1978	3.30	-0.33

4.24: The litter size of a certain population of female mice follows approximately a normal distribution with mean 7.8 and standard deviation 2.3. Let Y be the size of a randomly chosen litter. Use continuity correction to find approximate values for these probabilities:

P(Y <= 6)
P(Y = 6)
P8 <= Y <= 11)

4.29: The heights of a certain population of corn plants follows a normal distribution with mean 145 cm and standard deviation 22 cm.What percentage of the plant heights are:

100 cm or more?
120 cm or less?
Between 120 and 150 cm tall?
Between 100 and 120 cm tall?
180 cm or more?
150 cm or less?

4.41: Resting 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 7.3 beats per minute and a standard deviation of 11.1. Let Y denote the change in heart rate for a randomly selected person. Find:

P(Y > 10).
P(Y > 20).
P(5 < Y < 15).

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