(t Test (in Excel) for Two Samples with Unequal Variances) In an agricultural experiment, the effects of two fertilizers on the production of oranges were measured.  Fourteen randomly selected plots of land were treated with fertilizer A, and 10 randomly selected plots were treated with fertilizer B.  The number of pounds of harvested fruit was measured from each plot. Following are the results.                                    Fertilizer A                                                        Fertilizer B 448, 478,482, 442,455, 480 ,457, 506,             436,478,453,489,400,444,495,438,481,501  470,444, 466, 427, 461, 431                                      Assume that the populations are approximately normal.  Can you conclude that there is a difference in the mean yields for the two types of fertilizer?  Use the α = 0.01 level of significance.   Use Excel to perform the hypothesis test.   State the null and alternate hypotheses that would be appropriate for this hypothesis test. Use proper notation and formatting.         Give the value of the test statistic. Round to three decimal places if needed.         Give the p-value of the test statistic. Round to four decimal places if needed.         Using the p-value method, should be rejected at the  level of significance?  Why or why not?         Choose an appropriate conclusion based on your decision in part d.   There is a difference in the mean yields of oranges for the two types of fertilizer.   There is not enough evidence to conclude that there is a difference in the mean yields for the two types of fertilizer.

1. (t Test (in Excel) for Two Samples with Unequal Variances) In an agricultural experiment, the effects of two fertilizers on the production of oranges were measured.  Fourteen randomly selected plots of land were treated with fertilizer A, and 10 randomly selected plots were treated with fertilizer B.  The number of pounds of harvested fruit was measured from each plot. Following are the results.

                                 Fertilizer A                                                        Fertilizer B

448, 478,482, 442,455, 480 ,457, 506,             436,478,453,489,400,444,495,438,481,501

 470,444, 466, 427, 461, 431

Assume that the populations are approximately normal.  Can you conclude that there is a difference in the mean yields for the two types of fertilizer?  Use the α = 0.01 level of significance.

Use Excel to perform the hypothesis test.

1. State the null and alternate hypotheses that would be appropriate for this hypothesis test. Use proper notation and formatting.

1. Give the value of the test statistic. Round to three decimal places if needed.

1. Give the p-value of the test statistic. Round to four decimal places if needed.

1. Using the p-value method, should be rejected at the  level of significance?  Why or why not?

1. Choose an appropriate conclusion based on your decision in part d.

1. There is a difference in the mean yields of oranges for the two types of fertilizer.

1. There is not enough evidence to conclude that there is a difference in the mean yields for the two types of fertilizer.