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 forDisease Control gathers information on family life, marriage and divorce, pregnancy, infertility, useof contraception, and men's and women's health. One of the variables collected on this survey is theage at first marriage. 5,534 women, randomly sampled between 2006 and 2010, had a mean age offirst marriage of 23.44 years with a standard deviation of 4.72 years. Find a 90% confidence intervalfor 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 serumcholesterol level of a certain population of middle-aged men, based on a random sample of thepopulation. He asks a statistician for advice. The ensuing discussion reveals that the researcherwants to estimate the population mean to within +6 mg/dl or less, with 95% confidence. Also, theresearcher believes that the standard deviation of serum cholesterol in the population is probablyabout 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 thatemanates from the body of a nerve cell. In a study of brain development, researchers examined braintissue from seven adult guinea pigs. The investigators randomly selected nerve cells from a certainregion of the brain and counted the number of dendritic branch segments emanating from eachselected cell. A total of 36 cells was selected. The mean of the cell counts was 35.67 and the standarddeviation was 9.99.a) Using x = 35.67, s = 9.99, and n = 36, calculate a 95% confidence interval for the mean number ofdendritic branch segments.b) Is it reasonable to assume the observations are independent? What effect might this have on theconfidence interval you found in part (a)?c) Ignoring independence for this part, the histogram below shows the distribution of the 36 observedcounts. How does what you learn from the histogram affect the confidence interval you found in part(a)?2030405060Number of dendritic branch segments17. Below are the results from computing fifty 95% confidence intervals, based on the t distribution, forthe mean of a skewed population, whose true mean is equal to 10.0. Each sampleone

“Since you have posted multiple questions , we will solve first question for you. To get the…

Answered: 14. (From Open Intro Statistics) The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here