 # 5.4 A couple is planning to have three children. Find the following probabilities by listing all possibilities

| November 19, 2015

Basic Statistics for the Health Sciences

Home Work chapter 5

5.4 A couple is planning to have three children. Find the following probabilities by listing all possibilities and using equation 5.r

1. a) 2 boys and one girl
2. b) At least one boy
3. c) No girls
4. d) At most 2 girls
5. e) Two boys follow by a girl

5.10 If an individual were chosen at random from table 2.1 what is the probability that  that person would be ;

1. a) vegetarian
2. b) a female
3. c) a male vegetarian

Chapter 6

6.6  If the heights of a male youngsters are normally distributed with a mean of 60 inches and standard deviation of 10, what percentage of the boys heights ( in inches) would we expect to be ;

1. a) between 45 and 75
2. b) between 30 and 90
3. c) less than 50
4. d) 45 or more
5. e) 75 or more
6. f) between 50 and 75

6.11   a) Suppose that 25 years old males have a remaining mean life expectancy of 55 with a standard        deviation of 6. What portion of 25 year old males will live past 65.

1. b) What assumption do you have to make in, to obtain a valid answer?

Chapter 7

7.6 suppose heights of 20 years old men are approximately normally distributed with a mean of 71 ins and a population standard deviation of 5 ins. A random sample of 15 20 year old men is selected and measured. Find the probability that the sample mean x;

1. a) is at least 77 ins
2. b) lies between 65 and 75 ins
3. c) is not more than 63

7.16 if the forced vital capacity of 11-year old white males is normally distributed with the mean of 2400cc and Q=400, find the probability that a sample of size n=64 will provide a mean;

1. a) greater than 2500

b)between 2300 and 2500

1. c) less than 2350

Chapter 8

8.1  For each of the following, state the null (Ho) and alternative (H1) hypotheses

1. a) Has the mean community level of suspended particulates for the month of August exceeded 30 units per cubic meter?.
2. b) Does mean age of onset of a certain acute disease for school children differ from 11.5?
3. c) is the mean IQ of a sample of 60 children significantly above the normal IQ of a 100
4. d) Is the average cross-sectional area of the lumen of coronary arteries for men ages 40 -59 less than 31.5% of the total arterial cross section?
5. e) is the mean hemoglobin level of a group of high- altitude workers different from 16b/cc.
6. f) Does the mean speed of 50 cars as checked by radar on a particular highway differ from 65 mph.

Chapter11

11.7  In a study of longevity in a village in Ecuador 29 people in a population of 99were ages 65 or older. If it is also known that 20% of the U.S. population IS 65 or older, does it appear that the population of Ecuadorian villagers surviving to 65 and beyond exceeds that of people in the United State. Use Q=.01.

11.14 Public health officials found that, in a random sample of 100 men in a small community, 13 were infected with AIDS.

1. a) Obtain an estimate of the proportion of men infected with AIDS in that community.
2. b) Calculate the 95% CI for ~, the true proportion of men infected with AIDS.

Basic Statistics for the Health Sciences

Home Work chapter 5

5.4 A couple is planning to have three children. Find the following probabilities by listing all possibilities and using equation 5.r

1. a) 2 boys and one girl
2. b) At least one boy
3. c) No girls
4. d) At most 2 girls
5. e) Two boys follow by a girl

5.10 If an individual were chosen at random from table 2.1 what is the probability that  that person would be ;

1. a) vegetarian
2. b) a female
3. c) a male vegetarian

Chapter 6

6.6  If the heights of a male youngsters are normally distributed with a mean of 60 inches and standard deviation of 10, what percentage of the boys heights ( in inches) would we expect to be ;

1. a) between 45 and 75
2. b) between 30 and 90
3. c) less than 50
4. d) 45 or more
5. e) 75 or more
6. f) between 50 and 75

6.11   a) Suppose that 25 years old males have a remaining mean life expectancy of 55 with a standard        deviation of 6. What portion of 25 year old males will live past 65.

1. b) What assumption do you have to make in, to obtain a valid answer?

Chapter 7

7.6 suppose heights of 20 years old men are approximately normally distributed with a mean of 71 ins and a population standard deviation of 5 ins. A random sample of 15 20 year old men is selected and measured. Find the probability that the sample mean x;

1. a) is at least 77 ins
2. b) lies between 65 and 75 ins
3. c) is not more than 63

7.16 if the forced vital capacity of 11-year old white males is normally distributed with the mean of 2400cc and Q=400, find the probability that a sample of size n=64 will provide a mean;

1. a) greater than 2500

b)between 2300 and 2500

1. c) less than 2350

Chapter 8

8.1  For each of the following, state the null (Ho) and alternative (H1) hypotheses

1. a) Has the mean community level of suspended particulates for the month of August exceeded 30 units per cubic meter?.
2. b) Does mean age of onset of a certain acute disease for school children differ from 11.5?
3. c) is the mean IQ of a sample of 60 children significantly above the normal IQ of a 100
4. d) Is the average cross-sectional area of the lumen of coronary arteries for men ages 40 -59 less than 31.5% of the total arterial cross section?
5. e) is the mean hemoglobin level of a group of high- altitude workers different from 16b/cc.
6. f) Does the mean speed of 50 cars as checked by radar on a particular highway differ from 65 mph.

Chapter11

11.7  In a study of longevity in a village in Ecuador 29 people in a population of 99were ages 65 or older. If it is also known that 20% of the U.S. population IS 65 or older, does it appear that the population of Ecuadorian villagers surviving to 65 and beyond exceeds that of people in the United State. Use Q=.01.

11.14 Public health officials found that, in a random sample of 100 men in a small community, 13 were infected with AIDS.

1. a) Obtain an estimate of the proportion of men infected with AIDS in that community.
2. b) Calculate the 95% CI for ~, the true proportion of men infected with AIDS.
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