Small sample difference of two means. The soybean or Dectes stem borer, Dectes t

Question

Small sample difference of two means. The soybean or Dectes stem borer, Dectes texanus texanus LeConte, is a small, gray, long-horned beetle that attacks soybean and wild host plants. An experiment was set up to look at the impact of varieties and treatments on the yield per acre. We will focus on differences of two varieties of soybeans (A and B). There are 12 observations for each variety. The JMP t-test is given below.

A-B

Assuming equal variance

s Difference 11.7808 t Ratio 2.2728 Std Err Dif 5.1834 DF 22.0000 Upper CL Dif 22.5306 Prob > |t| 0.0332 Lower CL Dif 1.0311 Prob > t 0.0166 Confidence 0.9500 Prob < t 0.9834 Based on this difference of means test at an alpha level of .01 and a one-tailed test that variety A has a higher yield than variety B, you conclusion is

A. The evidence shows that variety is very important

B. There is no difference in yield between variety A and variety B

C. There is a significant difference in yield between variety A and B – variety A has higher yield.

D. There is a significant difference in yield between variety A and B – variety B has higher yield.

Explanation / Answer

Given,

Prob > |t| = 0.0332

Since this is a one tailed test.

p - Value = Prob > t = 0.0332/2 = 0.0166

Since this p - value is greater than 0.01, we do not reject Ho. Hence,

There is no difference in yield between variety A and variety B

Option B is correct.

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