Question 4 of 7Big babies: The National Health Statistics Reports described a study in which a sample of 315 one-year-old babyboys were weighed. Their mean weight was 25.6 pounds with standard deviation 5.3 pounds. A pediatrician claimsthat the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence thatthe pediatrician's claim is true? Use the o 0.05 level of significance and the critical value method with the@ Critical Values for the Student's t Distribution Table.(a) State the appropriate null and alternate hypotheses.(b) Compute the value of the test statistic.(c) State a conclusion.

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Asked Nov 4, 2019
Question 4 of 7
Big babies: The National Health Statistics Reports described a study in which a sample of 315 one-year-old baby
boys were weighed. Their mean weight was 25.6 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 o 0.05 level of significance and the critical value method with the
@ Critical Values for the Student's t Distribution Table.
(a) State the appropriate null and alternate hypotheses.
(b) Compute the value of the test statistic.
(c) State a conclusion.
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Question 4 of 7 Big babies: The National Health Statistics Reports described a study in which a sample of 315 one-year-old baby boys were weighed. Their mean weight was 25.6 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 o 0.05 level of significance and the critical value method with the @ Critical Values for the Student's t Distribution Table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.

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Step 1

From the given information,

Sample size (n) =315, mean (μ) =25.6, standard deviation (σ) =5.3 and level of significance (α) =0.05.

Step 2

(a) Null and alternative hypotheses are

H0: μ>25 (A pediatrician claims that the mean weight of one-year old boys is greater than 25 pounds).

Ha: μ≤25 (A pediatrician claims that the mean weight of one-year old boys is less than or equal to 25   

                  Pounds (or not greater than 25)).

Step 3

(b) Now, test sta...

X-
Test statistic (t)
n
25.6-25
5.3
V315
0.6
0.29862117
2.0092346433
. t-2.01
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X- Test statistic (t) n 25.6-25 5.3 V315 0.6 0.29862117 2.0092346433 . t-2.01

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