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.
Give a 98% confidence interval for the difference in the means. Arethe means significantly different at this level? Why or Whynot?
Please show all work-thanks of 1.1 ft. Assume the heights to be normally distributed.
Give a 98% confidence interval for the difference in the means. Arethe means significantly different at this level? Why or Whynot?
Please show all work-thanks Give a 98% confidence interval for the difference in the means. Arethe means significantly different at this level? Why or Whynot?
Please show all work-thanks Give a 98% confidence interval for the difference in the means. Arethe means significantly different at this level? Why or Whynot?
Please show all work-thanks

Explanation / Answer

n1=10, x-bar1=6.4, sd1=1.2 n2=16, x-bar2=6.3, sd2=1.1 =0.02, t(0.01, df=n1+n2-2= 10+16-2= 24)=2.492 (check studentt table) The 98% CI is (x-bar1 - xbar2)±2.492*sqrt(sd1^2/n1 + sd2^2/n2) --> (6.4- 6.3) ±2.492*sqrt(1.2^2/10 + 1.1^2/16) --> ( -1.067855, 1.267855) Since this CI includes 0, the means are not significantly differentat this level.

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