Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby 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. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critic

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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 boys is
approximately normally distributed. A study claimed that the mean of this population is 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you
select a random sample of 16 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.
Sample standard
Number of baby boys
Sample mean
deviation
Take Sample
16
5.496
1.873
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".
Sample size:
?
Standard error:
Point estimate:
Critical values
Sample standard deviation:
Margin of error:
0.00s -2.947
f0.010 -2.602
Critical value:
0.025 -2.131
99% confidence interval:
0.050 =1.753
Explanation
Check
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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 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 16 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. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 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". Sample size: ? Standard error: Point estimate: Critical values Sample standard deviation: Margin of error: 0.00s -2.947 f0.010 -2.602 Critical value: 0.025 -2.131 99% confidence interval: 0.050 =1.753 Explanation Check © 2021 McGrawHill Education. AI Rights Reserved Terms of Use PrivacyI Accessibil MacBook Air A FIo 23 %24 & 2 3 6. 7 Q E R T Y A F G H K C V command command
(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.
· Enter the values for the lower and upper limits on the graph to show your confidence interval.
• For the point (), enter the claim 4.93 from the study.
99% confidence interval:
0.000
10.000
5.000
0.000
2.000
4.000
6.000
8.000
10.000
(c) Does the 99% confidence interval you constructed contradict the claim made by the study?
Choose the best answer from the choices below.
O No, the confidence interval does not contradict the claim. The mean of 4.93 kg from the study is inside the 99%
confidence interval.
O No, the confidence interval does not contradict the claim. The mean of 4.93 kg from the study is outside the 99%
confidence interval.
O Yes, the confidence interval contradicts the claim. The mean of 4.93 kg from the study is inside the 99% confidence
interval.
O Yes, the confidence interval contradicts the claim. The mean of 4.93 kg from the study is outside the 99% confidence
interval.
Explanation
Check
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Transcribed Image Text:(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. · Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (), enter the claim 4.93 from the study. 99% confidence interval: 0.000 10.000 5.000 0.000 2.000 4.000 6.000 8.000 10.000 (c) Does the 99% confidence interval you constructed contradict the claim made by the study? Choose the best answer from the choices below. O No, the confidence interval does not contradict the claim. The mean of 4.93 kg from the study is inside the 99% confidence interval. O No, the confidence interval does not contradict the claim. The mean of 4.93 kg from the study is outside the 99% confidence interval. O Yes, the confidence interval contradicts the claim. The mean of 4.93 kg from the study is inside the 99% confidence interval. O Yes, the confidence interval contradicts the claim. The mean of 4.93 kg from the study is outside the 99% confidence interval. Explanation Check 2021 McGraw Hill Education. AlRights Reserved Terms of Use I PrivacyI Accessibil MacBook Air 888 4 %23 2$ & 7 3 4 5 7 8 9 Q W E Y P A F G H K C V B command command op
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