**Consider the following data on the two variables, height and gender for a sample of people_Stats_Answer**

**Consider the following data on the two variables, height and gender for a sample of people_Stats_Answer**

**Consider the following data on the two variables, height and gender for a sample of people_Stats_Answer**

1. Consider the following data on the two variables, height and gender, for a sample of people drawn from a certain population.

Height (inches) Gender (1 = Male, 0 = Female)

71 0

67 1

70 1

73 1

64 0

66 0

69 1

74 1

66 0

62 0

68 1

70 1

70 0

60 0

72 1a) What are the values of n and N?

b) Are the variables quantitative or qualitative?

c) What is the sample mean height, ? What is the population mean height, µ?

d) What is the sample proportion of males, ? What is the population proportion of males, p?

e) Describe in words what the sum of the Gender column represents.

f) What is the relationship between and µ?

g) What is the relationship between and ?

h) What are the sample mean male height and sample mean female height?

i) What would you estimate the difference to be between population mean male height and population mean female height?

j) For each variable, calculate the sum of the squares of the data. For the gender data, what to you notice about the sum of the data and the sum of the squares of the data? Using the short-cut formula, find the sample variance and the sample standard deviation of each variable.

k) For the gender variable, does the variance calculated above equal ?

l) Number the height in ascending order. What is the median height? Is this data skewed or symmetric? What fraction of heights is at or below the mean? At or below the median?

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