onfidence level of 95​% to complete parts​ (a) through​ (d) below.       Question content area bottom Part 1 a.Identify the critical value tα/2 used for finding the margin of error.   tα/2=enter your response here ​(Round to two decimal places as​ needed.) Part 2 b. Find the margin of error. E=enter your response here ​(Round to one decimal place as​ needed.) Part 3 c. Find the confidence interval estimate of μ.enter your response here   ​(Round to one decimal place as​ needed.) Part 4 Write a brief statement that interprets the confidence interval. Choose the correct answer below.     A. 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.   B. 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.   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 sample mean weight of newborn girls is equal to the population mean weight of newborn girls.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
Here are summary statistics for randomly selected weights of newborn​ girls: n=36​, x=3180.6​g, s=700.5g. Use a confidence level of 95​% to complete parts​ (a) through​ (d) below.
 
 
 

Question content area bottom

Part 1
a.Identify the critical value tα/2 used for finding the margin of error.
 
tα/2=enter your response here
​(Round to two decimal places as​ needed.)
Part 2
b. Find the margin of error.
E=enter your response here
​(Round to one decimal place as​ needed.)
Part 3
c. Find the confidence interval estimate of μ.enter your response here
 
​(Round to one decimal place as​ needed.)
Part 4
Write a brief statement that interprets the confidence interval. Choose the correct answer below.
 
 
A.
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.
 
B.
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.
 
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 sample mean weight of newborn girls is equal to the population mean weight of newborn girls.
 
 
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