Question

Identify the null and alternative hypothesis in the following scenario. To determine if battery 1 lasts longer than battery 2, the mean lasting times, of the two competing batteries are compared. Twenty batteries of each type are randomly sampled and tested. Both populations have normal distributions with known standard deviations Select the correct answer below

Answer 1

H₀: μ ≤ μ H₁: μ > μ

Explanation:

Hello!

If battery 1 lasts longer than battery 2, and all the batteries of population 1 and population 2 are built using the same method, then you could say that the population mean of the lifespans of batteries 1 are longer than the lifespan of batteries 2. Symbolically: μ₁ > μ₂

This would be your alternative hypothesis.

The null hypothesis is:

H₀: μ₁ ≤ μ₂

Then the correct answer is number 5

Looked for exercise's Options

H₀: μ ≥ μ H₁: μ < μ

H₀: μ ≤ -μ H₁: μ > -μ

H₀: μ ≥ -μ H₁: μ < -μ

H₀: μ = μ H₁: μ ≠ μ

H₀: μ ≤ μ H₁: μ > μ