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Average mark scored by 32 boys is 72 with standard deviation of 8 while that for 36 girls is 70 with standard deviation of 6. Test at 1% LoS whether the boys perform better than the girls.
written 7.9 years ago by gravatar for teamques10 teamques10 ★ 65k modified 17 months ago by gravatar for sagarkolekar sagarkolekar ★ 11k
engineering mathematics
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written 7.9 years ago by gravatar for teamques10 teamques10 ★ 65k

i) $n_1=32$ and $n_2=36$ (>30 it is large sample)

$\overline x_1=72,\overline x_2=70 ;s_1=8 ; s_2=6$

Step 1: Null hypothesis $(H_0): µ_1=µ_0$ (i.e. performance of boys & girls is equal)

Alternate hypothesis $(H_a): µ_1\gtµ_2$ (i.e. boys performs better than girls )(one tailed test)

Step 2: LOS=1% (two tailed test)

$\therefore $ …

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