Question

A grain researcher is developing a new variety of wheat. They would like to know if the new strain has a higher yield than the current variety. The randomly select 20 individual 1 acre plots on which to plant the wheat. The randomly assign the new variety to 10 plots and assign the current variety to 10plots. The mean yield for the new variety is 55.6bushels per acre with a standard deviation of 5.9 bushels. The mean yield for the current variety is 49.5 with a standard deviation of 5.1

a. Determine the value of the pooled standard​ deviation, ​(round answer to two decimal places)

b. Determine the value of the test statistic ​(Round your answer to 2 decimal​ places)

Answer 1

Solution

Given ,

  = 12 = 15

s₁ = 2.2 s₂ = 2.2

n₁ = 10 n₂ = 10

a)

=

=

= 5.51

= 5.51

b)

The test statistic t is

t =   

=  

= 2.47

The value of the test statistic t is 2.47