(b) Based on your sample, graph the 95% 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 3.454 from the study. 95% confidence interval: 0.000 0.000 2.000 4.000 5.000 6.000 8.000 10.000 10.000

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A r.able indicator of a baby's health is the weight gained in the fir
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 3.454 kg. As a practicing
pediatrician, you want to test this claim. So, you select a random sample
of baby boys, 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 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
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".
Compute
0.000
Number of baby boys
0.000
15
2.000
Sample mean
6.192
Standard error:
4.000
Margin of error:
95% confidence interval:
95% confidence interval:
5.000
(b) Based on your sample, graph the 95% 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 3.454 from the study.
6.000
Sample standard
deviation
1.791
O No, the confidence interval does not contradict the
claim. The mean of 3.454 kg from the study is inside the
95% confidence interval.
O No, the confidence interval does not contradict the
claim. The mean of 3.454 kg from the study is outside
the 95% confidence interval.
O Yes, the confidence interval contradicts the claim. The
mean of 3.454 kg from the study is inside the 95%
confidence interval.
O Yes, the confidence interval contradicts the claim. The
mean of 3.454 kg from the study is outside the 95%
confidence interval.
Critical values
0.005 2.977
8.000
X
0.010-2.624
10.025 2.145
10.050 1.761
0.100
X
1.345
=
X
(c) 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
5
5
Transcribed Image Text:Español A r.able indicator of a baby's health is the weight gained in the fir 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 3.454 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of baby boys, 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 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 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". Compute 0.000 Number of baby boys 0.000 15 2.000 Sample mean 6.192 Standard error: 4.000 Margin of error: 95% confidence interval: 95% confidence interval: 5.000 (b) Based on your sample, graph the 95% 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 3.454 from the study. 6.000 Sample standard deviation 1.791 O No, the confidence interval does not contradict the claim. The mean of 3.454 kg from the study is inside the 95% confidence interval. O No, the confidence interval does not contradict the claim. The mean of 3.454 kg from the study is outside the 95% confidence interval. O Yes, the confidence interval contradicts the claim. The mean of 3.454 kg from the study is inside the 95% confidence interval. O Yes, the confidence interval contradicts the claim. The mean of 3.454 kg from the study is outside the 95% confidence interval. Critical values 0.005 2.977 8.000 X 0.010-2.624 10.025 2.145 10.050 1.761 0.100 X 1.345 = X (c) 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 5 5
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