Here are summary statistics for randomly selected weights of newborn girls: n = 36, x= 3197.2 g, s = 692.6 g. Use a confidence level of 95% to complete parts (a) through (d) below. a. Identify the critical value to/2 used for finding the margin of error. ta/2= (Round to two decimal places as needed.) b. Find the margin of error. E = g (Round to one decimal place as needed.) c. Find the confidence interval estimate of μ. g

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Here are summary statistics for randomly selected weights of newborn girls: n= 36, x= 3197.2 g, s = 692.6 g. Use a confidence level of 95% to complete parts (a) through (d) below.
a. Identify the critical value to/2 used for finding the margin of error.
ta/2=
(Round to two decimal places as needed.)
b. Find the margin of error.
E= g
(Round to one decimal place as needed.)
c. Find the confidence interval estimate of µ.
g<µ<g
(Round to one decimal place as needed.)
d. Write a brief statement that interprets the confidence interval. Choose the correct answer below.
A. One has 95% confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls.
B. There is a 95% chance that the true value of the population mean weight of newborn girls will fall between the lower bound and the upper bound.
C. Approximately 95% of sample mean weights of newborn girls will fall between the lower bound and the upper bound.
D. One has 95% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls.
Transcribed Image Text:Here are summary statistics for randomly selected weights of newborn girls: n= 36, x= 3197.2 g, s = 692.6 g. Use a confidence level of 95% to complete parts (a) through (d) below. a. Identify the critical value to/2 used for finding the margin of error. ta/2= (Round to two decimal places as needed.) b. Find the margin of error. E= g (Round to one decimal place as needed.) c. Find the confidence interval estimate of µ. g<µ<g (Round to one decimal place as needed.) d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. A. One has 95% confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls. B. There is a 95% chance that the true value of the population mean weight of newborn girls will fall between the lower bound and the upper bound. C. Approximately 95% of sample mean weights of newborn girls will fall between the lower bound and the upper bound. D. One has 95% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls.
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