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14. (From Open Intro Statistics) The National Survey of Family Growth conducted by the Center for Disease Control gathers information on family life, marriage and divorce, pregnancy, infertility, use of contraception, and men's and women's health. One of the variables collected on this survey is the age at first marriage. 5,534 women, randomly sampled between 2006 and 2010, had a mean age of first marriage of 23.44 years with a standard deviation of 4.72 years. Find a 90% confidence interval for the mean age of first marriage of women in the population.

14. (From Open Intro Statistics) The National Survey of Family Growth conducted by the Center for Disease Control gathers information on family life, marriage and divorce, pregnancy, infertility, use of contraception, and men's and women's health. One of the variables collected on this survey is the age at first marriage. 5,534 women, randomly sampled between 2006 and 2010, had a mean age of first marriage of 23.44 years with a standard deviation of 4.72 years. Find a 90% confidence interval for the mean age of first marriage of women in the population.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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16. (Adapted from 6.5.2 in Samuels, Witmer, and Schaffner) A dendritic tree is a branched structure that emanates from the body of a nerve cell. In a study of brain development, researchers examined brain tissue from seven adult guinea pigs. The investigators randomly selected nerve cells from a certain region of the brain and counted the number of dendritic branch segments emanating from each selected cell. A total of 36 cells was selected. The mean of the cell counts was 35.67 and the standard deviation was 9.99.
a) Using ?̅ = 35.67, s = 9.99, and n = 36, calculate a 95% confidence interval for the mean number of dendritic branch segments.
b) Is it reasonable to assume the observations are independent? What effect might this have on the confidence interval you found in part (a)?
c) Ignoring independence for this part, the histogram below shows the distribution of the 36 observed counts. How does what you learn from the histogram affect the confidence interval you found in part (a)?

 

14. (From Open Intro Statistics) The National Survey of. Family Growth conducted by the Center for Disease Control gathers information on family life, marriage and divorce, pregnancy, infertility, use of contraception, and men's and women's health. One of the variables collected on this survey is the age at first marriage. 5,534 women, randomly sampled between 2006 and 2010, had a mean age of first marriage of 23.44 years with a standard deviation of 4.72 years. Find a 90% confidence interval for the mean age of first marriage of women in the population. 15. (From Samuels, Witmer, and Schaffner) A medical researcher proposes to estimate the mean serum cholesterol level of a certain population of middle-aged men, based on a random sample of the population. He asks a statistician for advice. The ensuing discussion reveals that the researcher wants to estimate the population mean to within +6 mg/dl or less, with 95% confidence. Also, the researcher believes that the standard deviation of serum cholesterol in the population is probably about 40 mg/dl. How large a sample does the researcher need to take? 16. (Adapted from 6.5.2 in Samuels, Witmer, and Schaffner) A dendritic tree is a branched structure that emanates from the body of a nerve cell. In a study of brain development, researchers examined brain tissue from seven adult guinea pigs. The investigators randomly selected nerve cells from a certain region of the brain and counted the number of dendritic branch segments emanating from each selected cell. A total of 36 cells was selected. The mean of the cell counts was 35.67 and the standard deviation was 9.99. a) Using x = 35.67, s = 9.99, and n = 36, calculate a 95% confidence interval for the mean number of dendritic branch segments. b) Is it reasonable to assume the observations are independent? What effect might this have on the confidence interval you found in part (a)? c) Ignoring independence for this part, the histogram below shows the distribution of the 36 observed counts. How does what you learn from the histogram affect the confidence interval you found in part (a)? 20 30 40 50 60 Number of dendritic branch segments 17. Below are the results from computing fifty 95% confidence intervals, based on the t distribution, for the mean of a skewed population, whose true mean is equal to 10.0. Each sampleone
Transcribed Image Text:14. (From Open Intro Statistics) The National Survey of. Family Growth conducted by the Center for Disease Control gathers information on family life, marriage and divorce, pregnancy, infertility, use of contraception, and men's and women's health. One of the variables collected on this survey is the age at first marriage. 5,534 women, randomly sampled between 2006 and 2010, had a mean age of first marriage of 23.44 years with a standard deviation of 4.72 years. Find a 90% confidence interval for the mean age of first marriage of women in the population. 15. (From Samuels, Witmer, and Schaffner) A medical researcher proposes to estimate the mean serum cholesterol level of a certain population of middle-aged men, based on a random sample of the population. He asks a statistician for advice. The ensuing discussion reveals that the researcher wants to estimate the population mean to within +6 mg/dl or less, with 95% confidence. Also, the researcher believes that the standard deviation of serum cholesterol in the population is probably about 40 mg/dl. How large a sample does the researcher need to take? 16. (Adapted from 6.5.2 in Samuels, Witmer, and Schaffner) A dendritic tree is a branched structure that emanates from the body of a nerve cell. In a study of brain development, researchers examined brain tissue from seven adult guinea pigs. The investigators randomly selected nerve cells from a certain region of the brain and counted the number of dendritic branch segments emanating from each selected cell. A total of 36 cells was selected. The mean of the cell counts was 35.67 and the standard deviation was 9.99. a) Using x = 35.67, s = 9.99, and n = 36, calculate a 95% confidence interval for the mean number of dendritic branch segments. b) Is it reasonable to assume the observations are independent? What effect might this have on the confidence interval you found in part (a)? c) Ignoring independence for this part, the histogram below shows the distribution of the 36 observed counts. How does what you learn from the histogram affect the confidence interval you found in part (a)? 20 30 40 50 60 Number of dendritic branch segments 17. Below are the results from computing fifty 95% confidence intervals, based on the t distribution, for the mean of a skewed population, whose true mean is equal to 10.0. Each sampleone
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