Question

The sales representative for a manufacturer of a new product claims that the product will increase output per machine by at least 29 units per hour. A line manager installs the product on 15 of the machines, and finds that the average increase was only 26 with a standard deviation of 6.2.

What are the appropriate null and alternative hypotheses?

• A.

  H₀ : μ > 29 and H₁: μ ≤ 29

• B.

  H₀ : μ = 29 and H₁: μ > 29

• C.

  H₀ : μ ≥ 29 and H₁: μ < 29

• D.

  H₀ : μ = 29 and H₁: μ ≠ 29

Answer 1

# our claim is that  the product will increase output per machine by at least 29 units per hour.

# hence here null and alternative hypotheses are

#B: H₀ : μ = 29 and H₁: μ > 29

#option B is correct