Question Completion Status: QUESTION 9 The following data represent the age (in weeks) at which babies first crawl based on a survey of 12 mothers conducted by Essential Baby. Show your work for full credit 52 30 44 35 39 26 47 37 56 26 39 28 a. Determine the margin of error. b. Construct a 95% confidence interval for the mean age at which a baby first crawls. c. Interpret the confidence interval

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QUESTION 9
The following data represent the age (in weeks) at which babies first crawl based on a survey of 12 mothers conducted by
Essential Baby. Show your work for full credit
52
30
44
35
39
26
47
37
56
26
39
28
a. Determine the margin of error.
b. Construct a 95% confidence interval for the mean age at which a baby first crawls.
c. Interpret the confidence interval
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Transcribed Image Text:Lumen Question Completion Status: QUESTION 9 The following data represent the age (in weeks) at which babies first crawl based on a survey of 12 mothers conducted by Essential Baby. Show your work for full credit 52 30 44 35 39 26 47 37 56 26 39 28 a. Determine the margin of error. b. Construct a 95% confidence interval for the mean age at which a baby first crawls. c. Interpret the confidence interval T T TT Paragraph Arial 3 (12pt) v三▼E, T. T T. 1¶ 囲 国 HTML CSS Ofx Mashups Words:0 Path: p Click Save amd Submit to save and submít. Click Save All Answers to save all answers.
Expert Solution
Step 1

The sample mean is given by

x=i=112xi12=45912=38.25

The sample standard deviation is 

s=i=112 xi-x212-1=1100.2511=10.0011

The crtical value for t-statistic at 5% L.O.S with 112-1=11 degrees of freedom is tα2=2.201.

The margin of error is given by

tα2sn=2.201*10.001112=6.3544

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