Corn was grown in two different kinds of soils A and B and theheights of the sta

Question

Corn was grown in two different kinds of soils A and B and theheights of the stalks were measured. A sample of 10 stalks fromsoil A gave a mean height of 6.4 ft and a standard deviation of 1.2ft, whereas a sample of 16 stalks from soil B gave a mean height of6.3 ft and a standard deviation of 1.1 ft. Assume the heights to be normally distributed.
a). Test for equality of variances at the 0.05 level ofsignificance. Please show all work-thanks of 1.1 ft. Assume the heights to be normally distributed.
a). Test for equality of variances at the 0.05 level ofsignificance. Please show all work-thanks a). Test for equality of variances at the 0.05 level ofsignificance. Please show all work-thanks a). Test for equality of variances at the 0.05 level ofsignificance. Please show all work-thanks

Explanation / Answer

n1=10, xbar1=6.4, S1=1.2 n2=16, xbar2=6.3, S2=1.1 The test hypothesis is Ho:1^2 =2^2 Ha: not equal =0.05, F(n1-1, n2-1, 0.975)= F(9,15 , 0.975)=3.12 (check Fdistribution table) F=S1^2/ S2^2 =1.2^2/ 1.1^2 =1.19 Since F=1.19

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