Small Sample Hypothesis Testing

A manufacturer claims that his tires last at least 40,000

miles. A test on 25 tires reveals that the mean life of a tire

is 39,750 miles, with a standard deviation of 387 miles.

Test the Manufacturer’s claim at α = .01.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

A fast food outlet claims that the mean waiting time in

line is less than 1.9 minutes. A random sample of 20

customers has a mean of 1.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim using P-values.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

A fast food outlet claims that the mean waiting time in

line is less than 3.5 minutes. A random sample of 20

customers has a mean of 3.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

Identify the correct null and alternative hypotheses below.

• H₀: μ = 5.8, H₁: μ < 5.8

• H₀: μ = 5.8, H₁: μ ≠ 5.8

• H₀: μ = 5.8, H₁: μ > 3.85

• H₀: μ = 5.8, H₁: μ < 3.85

Identify the correct null and alternative hypotheses below.

• H₀: μ = 3.18, H₁: μ < 3.18

• H₀: μ = 3.18, H₁: μ ≠ 3.18

• H₀: μ = 3.18, H₁: μ > 3.83

• H₀: μ = 3.83, H₁: μ < 3.18

Find the P-value interval if t=3.025, n=24, one-tailed

• 0.10< P <.025

• P < 0.01

• P > 0.25

• P = 0.05

Find the P-value interval if t= -1.145, n=5, one-tailed

• 0.10< P <.025

• P < 0.01

• P > 0.25

• P = 0.05

Find the P-value interval if t= 2.179, n=13, two-tailed

• 0.10< P <.025

• P < 0.01

• P > 0.25

• P = 0.05

Find the P-value interval if t= 0.665, n=10, right-tailed

• 0.10< P <.025

• P < 0.01

• P > 0.25

• P = 0.05

Identify the correct null and alternative hypotheses below.

• H₀: μ = 544.8, H₁: μ < 546

• H₀: μ = 546, H₁: μ < 546

• H₀: μ = 544.8, H₁: μ < 544.8

• H₀: μ = 546, H₁: μ < 544.8