Question

A random sample size of 1000 school children from urban areas shows average height is 150cm...

A random sample size of 1000 school children from urban areas shows average height is 150cm with an S.D. of 45.2cm. Similar sample of students from rural school has average height of 146 cm. with an SD of 37.3cm. Are students from urban area taller than students from rural area?

Math   Statistics-And-Probability   
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Answer #1

The null and alternative hypothesis

Test statistic

where

= 41.44

Thus

= 2.16

df =n1+n2-2 =1000+1000-2 = 1998

P value =P( t > 2.16)

Using t table or excel formula "=T.DIST.RT(2.16,1998)" P value for t = 2.16 with df =1998 is

P value = 0.0154

Since P value <0.05

Reject H0

At 5% level of significance there is sufficient evidence to conclude that urban students are taller than rural area .

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