Graph the equations x = 3 and y=5.

plot points:

(0, 5)

(3, 5)

(3, 0)

Step-by-step explanation:

A) The null hypothesis is H₀; =

The alternative hypothesis is Hₐ; ≠

B) The critical value is 4.604

C) The pooled variance is 11,870.2777

D) The standard error is-0.2321

E) The obtained is -0.2040  

Step-by-step explanation:

The given values are;

= 23.76, = 34.54

s₁ = 123.43, s₂ = 105.65

n₁ = 5, n₂ = 20

A) The null hypothesis, H₀; =

The alternative hypothesis, Hₐ; ≠

B) The degrees of freedom, df = 4 - 1 = 3

The critical t-value is given at α = 0.01 is given on the t-table for two tailed test as t = 4.604

C) The pooled variance is given by the following formula;

Plugging in the values gives;

The pooled variance, = 11,870.2777

D) The standard error, SE, is given as follows;

Therefore, we get;

The standard error, SE ≈ -0.2321

E) The obtained 't' is given as follows;

Therefore, we have;

The obtained t is given as follows;

Therefore, we get;

The obtained t = -0.2040