Big babies: The National Health Statistics Reports described a study in which a sample of 330 one-year-old baby boys were weighed. Their mean weight was 25.4 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the α = 0.05 level of significance and the critical value method with the Critical Values for the Student's t Distribution Table Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H₂μ = 25 H₁ μ< 25 This hypothesis test is a left-tailed Part 2 of 5 Part 3 of 5 0.0.... X X test. S O
Big babies: The National Health Statistics Reports described a study in which a sample of 330 one-year-old baby boys were weighed. Their mean weight was 25.4 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the α = 0.05 level of significance and the critical value method with the Critical Values for the Student's t Distribution Table Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H₂μ = 25 H₁ μ< 25 This hypothesis test is a left-tailed Part 2 of 5 Part 3 of 5 0.0.... X X test. S O
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
![Big babies: The National Health Statistics Reports described a study in which a sample of 330 one-year-old baby boys were weighed. Their mean weight was
25.4 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data
provide convincing evidence that the pediatrician's claim is true? Use the α = 0.05 level of significance and the critical value method with the
Critical Values for the Student's t Distribution Table
Part 1 of 5
(a) State the appropriate null and alternate hypotheses.
H₂ μ = 25
H₁ μ< 25
This hypothesis test is a left-tailed
Part 2 of 5
Part 3 of 5
0.0....
X
X
test.
Find the critical value(s). Round the answer(s) to three decimal places. f there is more than one critical value, separate them with commas.
Critical value(s): 3
S
O<O 0>0
5
0*0 H
X
0=0
5
(b) Compute the value of the test statistic. Round the answer to at least three decimal places.
t= 3
Español](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f283cfc-3082-4072-ac5d-2906bb7d4620%2F62f21ca6-7c2d-48e1-8c48-39a1737ade86%2Fcnho4rz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Big babies: The National Health Statistics Reports described a study in which a sample of 330 one-year-old baby boys were weighed. Their mean weight was
25.4 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data
provide convincing evidence that the pediatrician's claim is true? Use the α = 0.05 level of significance and the critical value method with the
Critical Values for the Student's t Distribution Table
Part 1 of 5
(a) State the appropriate null and alternate hypotheses.
H₂ μ = 25
H₁ μ< 25
This hypothesis test is a left-tailed
Part 2 of 5
Part 3 of 5
0.0....
X
X
test.
Find the critical value(s). Round the answer(s) to three decimal places. f there is more than one critical value, separate them with commas.
Critical value(s): 3
S
O<O 0>0
5
0*0 H
X
0=0
5
(b) Compute the value of the test statistic. Round the answer to at least three decimal places.
t= 3
Español
![Part 3 of 5
(b) Compute the value of the test statistic. Round the answer to at least three decimal places.
t = 3
Part 4 of 5
Reject
Determine whether to reject Ho
Part: 4/5
X
Part 5 of 5
S
the null hypothesis Ho.
(c) State a conclusion.
There is
pounds.
X
Ś
enough evidence to conclude that the mean weight of one-year-old boys is greater than 25
x
S](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f283cfc-3082-4072-ac5d-2906bb7d4620%2F62f21ca6-7c2d-48e1-8c48-39a1737ade86%2F0fd5908_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Part 3 of 5
(b) Compute the value of the test statistic. Round the answer to at least three decimal places.
t = 3
Part 4 of 5
Reject
Determine whether to reject Ho
Part: 4/5
X
Part 5 of 5
S
the null hypothesis Ho.
(c) State a conclusion.
There is
pounds.
X
Ś
enough evidence to conclude that the mean weight of one-year-old boys is greater than 25
x
S
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