Children’s Ages (Example 6) Mrs. Johnson’s children 2,2,3, and 5 years of age. a. Calculate the standard deviation of their current ages. b. Without doing any calculation, indicate whether the standard deviation of the ages in 20 years will be larger, smaller, or the same as the standard deviation of their current ages. Check your answer by calculating the standard deviation of the ages in 20 years. Explain how adding 20 to each number affects the standard deviation. c. Find the mean of the children at their current ages. d. Without doing any calculation, indicate whether the mean age in 20 years will be larger, smaller, or about the same as the mean of the current ages. Confirm your answer, and describe how adding 20 to each number affects the mean.
Children’s Ages (Example 6) Mrs. Johnson’s children 2,2,3, and 5 years of age. a. Calculate the standard deviation of their current ages. b. Without doing any calculation, indicate whether the standard deviation of the ages in 20 years will be larger, smaller, or the same as the standard deviation of their current ages. Check your answer by calculating the standard deviation of the ages in 20 years. Explain how adding 20 to each number affects the standard deviation. c. Find the mean of the children at their current ages. d. Without doing any calculation, indicate whether the mean age in 20 years will be larger, smaller, or about the same as the mean of the current ages. Confirm your answer, and describe how adding 20 to each number affects the mean.
Solution Summary: The author explains that the standard deviation of the current ages of Mrs. Johnson's children is calculated to be 1.4 years.
Children’s Ages (Example 6) Mrs. Johnson’s children 2,2,3, and 5 years of age.
a. Calculate the standard deviation of their current ages.
b. Without doing any calculation, indicate whether the standard deviation of the ages in 20
years will be larger, smaller, or the same as the standard deviation of their current ages.
Check your answer by calculating the standard deviation of the ages in 20 years. Explain
how adding 20 to each number affects the standard deviation.
c. Find the mean of the children at their current ages.
d. Without doing any calculation, indicate whether the mean age in 20 years will be larger, smaller, or about the same as the mean of the current ages. Confirm your answer, and describe how adding 20 to each number affects the mean.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
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