Reference no: EM132154338

Several farmers were interested in the relationship between the mean temperature, the rainfall in July and the output of sugar beets. The following data for the last fifteen years was collected at a certain farm:

Production (metric tons)

1) 470.1

2)589.6

3)580.5

4) 526.3

5) 498.8

6) 521.4

7) 471.6

8) 560.2

9) 462.3

10) 585.2

11) 450.2

12) 507.9

13) 432.6

14) 553.5

15) 510.3

Temperature (⁰C) (°C)

1) 18

2) 16.1

3) 17.8

4) 15

5) 16.1

6) 16.6

7) 18.5

8) 13.5

9) 14.4

10) 15.3

11) 17.2

12) 17.2

13) 15.5

14) 18.1

15) 16.3

Rainfall (cm)

1) 11.2

2) 7.5

3) 9.3

4) 8.3

5) 10.1

6) 10.8

7) 10.5

8) 9.8

9) 10.8

10) 9.7

11) 10.2

12) 8.2

13) 9.5

14) 7.8

15) 10.9

a) At the 5% level of significance, can we conclude that the average temperature in July was less than 17.5 °C? What is the p-value?

b) At the 1% level of significance, can we conclude that the average rainfall in July is more than 9.2 cm? What is the p-value?

c)  Can we conclude that the production of beets is higher when the average rainfall in July is less than 10 cm? Use a 5% level of significance. What is the p-value.