A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys. is approximately normally distributed. A study claimed that the mean of this population is 8.744 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 14 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. (b) Take Sample Sample size: 0 Point estimate: Sample standard deviation: 0 Critical value: 0 Number of baby boys Compute 14 Sample mean Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". 5.904 Standard error: Margin of error: Sample standard 99% confidence interval: deviation 1.611 X 3 Critical values 0.005 3.012 0.010 2.650 0.025 2.160 0.050 1.771 0.100 1.350 Based on your sample, graph the 99% confidence interval for the population mean of all the weight gains for baby boys in their first year.
A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys. is approximately normally distributed. A study claimed that the mean of this population is 8.744 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 14 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. (b) Take Sample Sample size: 0 Point estimate: Sample standard deviation: 0 Critical value: 0 Number of baby boys Compute 14 Sample mean Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". 5.904 Standard error: Margin of error: Sample standard 99% confidence interval: deviation 1.611 X 3 Critical values 0.005 3.012 0.010 2.650 0.025 2.160 0.050 1.771 0.100 1.350 Based on your sample, graph the 99% confidence interval for the population mean of all the weight gains for baby boys in their first year.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:(b)
(c)
Based on your sample, graph the 99% confidence interval for the population mean of all the weight gains for baby boys in their first year.
• Enter the values for the lower and upper limits on the graph to show your confidence interval.
. For the point (), enter the claim 8.744 from the study.
0.000
0.000
2.000
99% confidence interval:
4.000
5.000
6.000
8.000
Does the 99% confidence interval you constructed contradict the claim made by the study?
Choose the best answer from the choices below.
X
10.000
10.000
S
No, the confidence interval does not contradict the claim. The mean of 8.744 kg from the study is inside the 99%
confidence interval.
O No, the confidence interval does not contradict the claim. The mean of 8.744 kg from the study is outside the 99%
confidence interval.
Yes, the confidence interval contradicts the claim. The mean of 8.744 kg from the study is inside the 99%
confidence interval.
Yes, the confidence interval contradicts the claim. The mean of 8.744 kg from the study is outside the 99%
confidence interval.
X
Transcribed Image Text:A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys
is approximately normally distributed. A study claimed that the mean of this population is 8.744 kg. As a practicing pediatrician, you want to test this claim. So,
you select a random sample of 14 baby boys, and you record the weight each gained in their first year.
Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state
whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.)
(a) Click on "Take Sample" to see the results for your random sample.
Take Sample
Sample size:
0
Point estimate:
0
Sample standard deviation:
0
Critical value:
0
Number of baby boys
Compute
14
Sample mean
Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 99%
confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
5.904
Standard error:
Margin of error:
Sample standard
99% confidence interval:
deviation
1.611
Critical values
0.005 3.012
¹0.010 2.650
¹0.025 2.160
0.050 1.771
0.100 1.350
(b) Based on your sample, graph the 99% confidence interval for the population mean of all the weight gains for baby boys in their first year.
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