Question

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd = 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed.

A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The results are shown below.

Plot: 1 2 3 4 5 6 7 8 9 10

Before 9 9 8 7 6 8 5 9 10 11

After 10 9 9 8 7 10 6 10 10 12

You wish to test the following hypothesis at the 10 percent level of significance.H0: μd = 0 against H1: μd ≠ 0.What is the value of the appropriate test statistic?

		2.033
		2.536
		1.584
		5.014

Answer 1

The statistical software output for this problem is:

Paired T hypothesis test:

μ_D = μ₁ - μ₂ : Mean of the difference between After and Before
H₀ : μ_D = 0
H_A : μ_D ≠ 0
Hypothesis test results:

Difference	Mean	Std. Err.	DF	T-Stat	P-value
After - Before	0.9	0.17950549	9	5.0137741	0.0007

Hence,

Test Statistic = 5.014

Option D is correct.