The mean yield of wheat in Yolo County is 30 sacksacre A cor

The mean yield of wheat in Yolo County is 30 sacks/acre. A corporation has 9 fields of wheat in the county with an average yield of 38 sacks/acre and with a sum of squares Sigma(Y_i - Y)^2 = 288. Test, using the 5% level, if the average yield of wheat for this corporation is significantly greater than the county average. (t = 4.0, df = 8, one-tailed)

Solution

we have that df = 8

and alpha = 0.05

critical value is : 1.860

we reject ho if T > 1.860

and the value of T is 4.0

so conclusion

we reject Ho

the average yield of wheat for this corporations is sifnificantly greater than the country average