MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 girls
is approximately normally distributed. A study claimed that the mean of this population is 5.94 kg. As a practicing pediatrician, you want to test this claim. So,
you select a random sample of 15 baby girls, and you record the weight each gained in their first year.
Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby girls 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:
10
Critical value:
0
Number of baby girls
Compute
15
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 95%
confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Sample mean
5.658
Standard error:
Margin of error:
Sample standard
deviation
95% confidence interval:
1.869
X
Critical values
¹0.005 2.977
¹0.010 2.624
10.025 2.145
10.050 1.761
¹0.100=1.345
expand button
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 girls is approximately normally distributed. A study claimed that the mean of this population is 5.94 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 15 baby girls, and you record the weight each gained in their first year. Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby girls 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: 10 Critical value: 0 Number of baby girls Compute 15 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 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample mean 5.658 Standard error: Margin of error: Sample standard deviation 95% confidence interval: 1.869 X Critical values ¹0.005 2.977 ¹0.010 2.624 10.025 2.145 10.050 1.761 ¹0.100=1.345
(b) Based on your sample, graph the 95% confidence interval for the population mean of all the weight gains for baby girls 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 5.94 from the study.
(c)
0.000
0.000
2,000
95% confidence interval:
4.000
5.000
6.000
8.000
Does the 95% confidence interval you constructed contradict the claim made by the study?
Choose the best answer from the choices below.
10.000
10.000
Ś
O No, the confidence interval does not contradict the claim. The mean of 5.94 kg from the study is inside the 95%
confidence interval.
O No, the confidence interval does not contradict the claim. The mean of 5.94 kg from the study is outside the 95%
confidence interval.
Yes, the confidence interval contradicts the claim. The mean of 5.94 kg from the study is inside the 95% confidence
interval.
Yes, the confidence interval contradicts the claim. The mean of 5.94 kg from the study is outside the 95%
confidence interval.
X
3
expand button
Transcribed Image Text:(b) Based on your sample, graph the 95% confidence interval for the population mean of all the weight gains for baby girls 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 5.94 from the study. (c) 0.000 0.000 2,000 95% confidence interval: 4.000 5.000 6.000 8.000 Does the 95% confidence interval you constructed contradict the claim made by the study? Choose the best answer from the choices below. 10.000 10.000 Ś O No, the confidence interval does not contradict the claim. The mean of 5.94 kg from the study is inside the 95% confidence interval. O No, the confidence interval does not contradict the claim. The mean of 5.94 kg from the study is outside the 95% confidence interval. Yes, the confidence interval contradicts the claim. The mean of 5.94 kg from the study is inside the 95% confidence interval. Yes, the confidence interval contradicts the claim. The mean of 5.94 kg from the study is outside the 95% confidence interval. X 3
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