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cul BIO STAT .pdf (page 7 of 12) Edited -Question 3- It has been hypothesized fo

ID: 3249245 • Letter: C

Question

cul BIO STAT .pdf (page 7 of 12) Edited -Question 3- It has been hypothesized for decades that listening to Mozart increases spatio-temporal reasoning. It has also been suggested that mothers listen to classical music (specifically Mozart) in utero increase general intelligence of the infant. The table below relates to a study where infants listened to three types of music' in utero and their advancement to crawling/walking was defined as either early, on time, or late. The goal of the study was to determine if there was a statistically significant association between music in utero and time of advancement to crawling/walking in infants. Advancement to Crawling/Walking Row Sample Sizes Music In Utero. Early On Time Late Mozart 50.8% 30.2% 19.0% (Piano Sonata) Philip Glass 38.3% 40.0% 21.7% minimalist music White Noise 21.49% 71.496 and Silence The percentages above represent row percentages. For instance, 50.8% of Mozart' babies have Early' advancement to crawling/walking. Sample sizes for the rows are provided in the table above. For instance, there were 63 total Mozart' babies. a. Based upon the row percentages provided, fill in the contingency table below with the approximate cell counts, rounding to the nearest whole number in this setting.

Explanation / Answer

solution:

a)

No .of Mozart babies having early advancement to crawling:

=50.8% of 63=50.8*63/100=32.04

No .of Mozart babies having on time advancement to crawling= 30.2% of 63=19.02

No .of Mozart babies having late advancement to crawling=19% of 63=11.97

No .of philip glass babies having early advancement to crawling=40% of 60=24

No .of philip glass babies having on time advancement to crawling= 38.3% of 60=22.98

No .of philip glass babies having late advancement to crawling= 21.7% of 60=13.02

No .of white noise babies having early advancement to crawling= 7.1% of 14=.994

No .of philip glass babies having on time advancement to crawling = 21.4% of 14=2.99

No .of philip glass babies having late advancement to crawling = 71.4% of 14=9.99

b) By seeing the R output we have

Hypothesis is i.e(Null hypothesis) Ho= there is no effect of mozart on advancement of crawling/walking

Test statistics here is pi square

so test statistics value(X2)=19.487

P -value =.0006303

concusion in terms of Ho is that there is significant rellationship b/w mozart and advancement in crawling

c) yes diffent statistics test had been more appropriate. Test Like ANOVA can work well for this type of data set.ANOVA is better option because we have more than 2 group and ANOVA work well for multiple groups

d) probaibiltty of .01 is the type 1 error in our case because alpha level defined is alpha-=.01.

hence probabiliyt of making correct decision is (1-alpha)=99%

Advancement in Crawling Music in utero Early on time Late Mozart 32 19 12 Philip glass 24 23 13 White noise silence 1 3 10