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Questions 11 through 3: Let us assume that we know that the weight of 6-year old children is normally distributed. A researcher has a random sample of n = 16 6-year old children. The sample has a mean of x = 18.3 kg and a sample standard deviation of sx = 4.2 kg. Construct the 95% confidence interval to estimate the population mean. Use 2 decimal places for your answers. 11. What do we know? X = Sx = S Sx== √n n= Calculate the standard error of the sampling distribution of the mean. C-Level = Page 2 of 3 Use the calculator (TInterval) to compute the confidence interval for the population mean. 12. lower value= 13. upper value =

Questions 11 through 3: Let us assume that we know that the weight of 6-year old children is normally distributed. A researcher has a random sample of n = 16 6-year old children. The sample has a mean of x = 18.3 kg and a sample standard deviation of sx = 4.2 kg. Construct the 95% confidence interval to estimate the population mean. Use 2 decimal places for your answers. 11. What do we know? X = Sx = S Sx== √n n= Calculate the standard error of the sampling distribution of the mean. C-Level = Page 2 of 3 Use the calculator (TInterval) to compute the confidence interval for the population mean. 12. lower value= 13. upper value =

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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Questions 11 through 3: Let us assume that we know that the weight of 6-year old children is normally distributed. A researcher has a random sample of n = 16 6-year old children. The sample has a mean of x 18.3 kg and a sample standard deviation of sx = 4.2 kg. Construct the 95% confidence interval to estimate the population mean. Use 2 decimal places for your = answers. What do we know? X = 14. Sx = 11. Calculate the standard error of the sampling distribution of the mean. X= S. Sx = Use the calculator (TInterval) to compute the confidence interval for the population mean. 12. lower value = 13. upper value = Sx Questions 14 through 16: Biologists studying the healing of skin wounds measured the rate at which new cells closed a razor cut made in the skin of an anesthetized newt. The sample consists of n = 18 newts and has a sample mean of x= 25.67 micrometers per hour and a sample standard deviation of sx = 8.324 μm/h. Assume that the newts are representative of the population and that healing rates are normally distributed. Construct the 95% confidence interval to estimate the population mean. Use 2 decimal places for your answers. What do we know? = n = √n Page 2 of 3 Sx = C-Level = n = Calculate the standard error of the sampling distribution of the mean. C-Level = Use the calculator (TInterval) to compute the confidence interval for the population mean. 15. lower value = 16. upper value =
Transcribed Image Text:Questions 11 through 3: Let us assume that we know that the weight of 6-year old children is normally distributed. A researcher has a random sample of n = 16 6-year old children. The sample has a mean of x 18.3 kg and a sample standard deviation of sx = 4.2 kg. Construct the 95% confidence interval to estimate the population mean. Use 2 decimal places for your = answers. What do we know? X = 14. Sx = 11. Calculate the standard error of the sampling distribution of the mean. X= S. Sx = Use the calculator (TInterval) to compute the confidence interval for the population mean. 12. lower value = 13. upper value = Sx Questions 14 through 16: Biologists studying the healing of skin wounds measured the rate at which new cells closed a razor cut made in the skin of an anesthetized newt. The sample consists of n = 18 newts and has a sample mean of x= 25.67 micrometers per hour and a sample standard deviation of sx = 8.324 μm/h. Assume that the newts are representative of the population and that healing rates are normally distributed. Construct the 95% confidence interval to estimate the population mean. Use 2 decimal places for your answers. What do we know? = n = √n Page 2 of 3 Sx = C-Level = n = Calculate the standard error of the sampling distribution of the mean. C-Level = Use the calculator (TInterval) to compute the confidence interval for the population mean. 15. lower value = 16. upper value =
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Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only one question (Giving solutions for questions 11 to 13).

 

Given information

Sample size (n) = 16

Sample mean x̅ = 18.3 kg

Standard deviation (s) = 4.2 kg

C- level = 0.95

So, significance level α = 0.05

Since, here population standard deviation is unknown therefore using t-distribution.

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