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in Statistics by (57.2k points)

From the following data regarding weights of randomly selected boys and girls of P.U.C. classes, test whether P.U.C. boys weigh more than P.U.C. girls. [Test at 5% level of significance]

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Given n1 = 10, n2 = 12 (less than 30, use t test) 

1 = 71, x̄2 = 69 

s12 = 3 s22 = 2 

H0 :mean weight of boys and girls are same, 

(i.e. H0: µ1= µ2

H1 : mean weight of boys is more than girls 

(i.e. H1: µ1 > µ2) …(upper tail test)

The test statistic is

For (n1 + n2 – 2) = (10 + 12 -2) = 20 degrees of freedom the upper tail critical value for 5% level of significance k2 = 1.73 

Herz tcal > k2/tcal lies in (RR) rejection region. 

∴ H0 is rejected and H1 is accepted. 

Conclusion : Mean weight of boys is more than girls.

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