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

**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**

- a) 2 boys and one girl
- b) At least one boy
- c) No girls
- d) At most 2 girls
- 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 ;**

- a) vegetarian
- b) a female
- 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 ;**

- a) between 45 and 75
- b) between 30 and 90
- c) less than 50
- d) 45 or more
- e) 75 or more
- 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.

- 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;**

- a) is at least 77 ins
- b) lies between 65 and 75 ins
- c) is not more than 63

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**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;**

- a) greater than 2500

b)between 2300 and 2500

- c) less than 2350

**Chapter 8**

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

- a) Has the mean community level of suspended particulates for the month of August exceeded 30 units per cubic meter?.
- b) Does mean age of onset of a certain acute disease for school children differ from 11.5?
- c) is the mean IQ of a sample of 60 children significantly above the normal IQ of a 100
- 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?
- e) is the mean hemoglobin level of a group of high- altitude workers different from 16b/cc.
- f) Does the mean speed of 50 cars as checked by radar on a particular highway differ from 65 mph.

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**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.

- a) Obtain an estimate of the proportion of men infected with AIDS in that community.
- 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**

- a) 2 boys and one girl
- b) At least one boy
- c) No girls
- d) At most 2 girls
- 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 ;**

- a) vegetarian
- b) a female
- 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 ;**

- a) between 45 and 75
- b) between 30 and 90
- c) less than 50
- d) 45 or more
- e) 75 or more
- 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.

- 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;**

- a) is at least 77 ins
- b) lies between 65 and 75 ins
- 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;**

- a) greater than 2500

b)between 2300 and 2500

- c) less than 2350

**Chapter 8**

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

- a) Has the mean community level of suspended particulates for the month of August exceeded 30 units per cubic meter?.
- b) Does mean age of onset of a certain acute disease for school children differ from 11.5?
- c) is the mean IQ of a sample of 60 children significantly above the normal IQ of a 100
- 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?
- e) is the mean hemoglobin level of a group of high- altitude workers different from 16b/cc.
- f) Does the mean speed of 50 cars as checked by radar on a particular highway differ from 65 mph.

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** **

** **

** **

**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.

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

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