Crawling Researchers at the University of Denver Infant Study Center wondered whether temperature might influ-ence the age at which babies learn to crawl. Perhaps the extra clothing that babies wear in cold weather wouldrestrict movement and delay the age at which they startedcrawling. Data were collected on 208 boys and 206 girls.Parents reported the month of the baby’s birth and theage (in weeks) at which their child first crawled. Thetable gives the average Temperature (°F) when the babieswere 6 months old and average Crawling Age (in weeks)for each month of the year. Make the plots and computethe analyses necessary to answer the following questions.a) Would this association appear to be weaker, stronger,or the same if data had been plotted for individualbabies instead of using monthly averages? Explain. b) Is there evidence of an association between Tempera-ture and Crawling Age? Test an appropriate hypothesis and state your conclusion. Don’t forget to check theassumptions.c) Create and interpret a 95% confidence interval for theslope of the true relationship. Birth Month 6-MonthTemperature AverageCrawling AgeJan. 66 29.84Feb. 73 30.52Mar. 72 29.70April 63 31.84May 52 28.58June 39 31.44July 33 33.64Aug. 30 32.82Sept. 33 33.83Oct. 37 33.35Nov. 48 33.38Dec. 57 32.32

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.2: Trigonometric Equations

Problem 99E

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Crawling Researchers at the University of Denver Infant

Study Center wondered whether temperature might influ-
ence the age at which babies learn to crawl. Perhaps the

extra clothing that babies wear in cold weather would
restrict movement and delay the age at which they started
crawling. Data were collected on 208 boys and 206 girls.
Parents reported the month of the baby’s birth and the
age (in weeks) at which their child first crawled. The
table gives the average Temperature (°F) when the babies
were 6 months old and average Crawling Age (in weeks)
for each month of the year. Make the plots and compute
the analyses necessary to answer the following questions.a) Would this association appear to be weaker, stronger,
or the same if data had been plotted for individual
babies instead of using monthly averages? Explain.

b) Is there evidence of an association between Tempera-
ture and Crawling Age? Test an appropriate hypothesis

and state your conclusion. Don’t forget to check the
assumptions.
c) Create and interpret a 95% confidence interval for the
slope of the true relationship.

Birth Month

6-Month
Temperature

Average
Crawling Age
Jan. 66 29.84
Feb. 73 30.52
Mar. 72 29.70
April 63 31.84
May 52 28.58
June 39 31.44
July 33 33.64
Aug. 30 32.82
Sept. 33 33.83
Oct. 37 33.35
Nov. 48 33.38
Dec. 57 32.32

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