Question

Do engineers work more hours per week than the national average hours per week worked?

      [ Choose ]            Two-sided test            One-sided lower test            One-sided upper test      

Is the gas mileage of a smart for two coupe really less than 40 mpg? (According to the 2013 EPA gas mileage figures, the answer is yes. Doesn't seem that smart…)

      [ Choose ]            Two-sided test            One-sided lower test            One-sided upper test      

Is the voltage produced by AAA batteries equal to 1.5 V?

      [ Choose ]            Two-sided test            One-sided lower test            One-sided upper test      

Match each of the following questions with the type of hypothesis test that would be most appropriate.

Group of answer choices

Is the stopping distance on dry asphalt of a Nissan Armada initially traveling at 60 mph is equal to 262 ft?

      [ Choose ]            One-sided upper test            Two-sided test            One-sided lower test      

Is the weight that can be carried by a carbon fiber bicycle frame greater than 200 lbs?

      [ Choose ]            One-sided upper test            Two-sided test            One-sided lower test      

Is the breaking strength of seat belt webbing lower than the strength specified in a government safety standard?

      [ Choose ]            One-sided upper test            Two-sided test            One-sided lower test      

Suppose you are testing ground water samples for the presence of salt. A level of salt of less than 50 mg/L is desired. You decide to perform a statistical hypothesis test to determine from the salt concentrations in 16 ground water samples whether the salt concentration is below 50 mg/L. Which of the following tests would you use?

Group of answer choices

This two-sided test:

H₀: μ = 50 mg/L

H₁: μ ≠ 50 mg/L

This one-sided test:

H₀: μ = 50 mg/L

H₁: μ < 50 mg/L

This one-sided test:

H₀: μ = 50 mg/L

H₁: μ > 50 mg/L

This two-sided test:

H₀: μ = 50 mg/L

H₁: μ = 45 mg/L

Suppose you are determining whether the depth of groves cut into aluminum by a milling machine is deeper than 1.7 mm. You cut 14 groves, then measure the depth of each one. With these measurements, you perform a statistical hypothesis test to determine whether the groove depth is deeper than 1.7 mm. Which of the following tests would you use?

Group of answer choices

This two-sided test:

H₀: μ = 1.7 mm

H₁: μ ≠ 1.7 mm

This one-sided test:

H₀: μ = 1.7 mm

H₁: μ < 1.7 mm

This one-sided test:

H₀: μ = 1.7 mm

H₁: μ > 1.7 mm

This two-sided test:

H₀: μ > 1.7 mm

H₁: μ = 1.5 mm

Answer 1

Do engineers work more hours per week than the national average hours per week worked?

Answer: One-sided upper test      

Reason:

We want to test if engineers work more hours per week than the national average hours per week.

The alternate hypothesis in this case is

Hence the test is One-sided upper test

Is the gas mileage of a smart for two coupe really less than 40 mpg? (According to the 2013 EPA gas mileage figures, the answer is yes. Doesn't seem that smart…)

Answer: One-sided lower test

Reason:

We want to test if the gas mileage of a smart for two coupe really less than 40 mpg.

The alternate hypothesis in this case is

Hence the test is One-sided lower test

Is the voltage produced by AAA batteries equal to 1.5 V?

Answer: Two-sided test

Reason:

We want to test if the voltage produced by AAA batteries equal to 1.5 V.

The alternate hypothesis in this case is

Hence the test is Two-sided test

Is the stopping distance on dry asphalt of a Nissan Armada initially traveling at 60 mph is equal to 262 ft?

Answer: Two-sided test

Reason:

We want to test if the stopping distance on dry asphalt of a Nissan Armada initially traveling at 60 mph is equal to 262 ft.

The alternate hypothesis in this case is

Hence the test is Two-sided test

Is the weight that can be carried by a carbon fiber bicycle frame greater than 200 lbs?

Answer: One-sided upper test      

Reason:

We want to test if the weight that can be carried by a carbon fiber bicycle frame greater than 200 lbs.

The alternate hypothesis in this case is

Hence the test is One-sided upper test

Is the breaking strength of seat belt webbing lower than the strength specified in a government safety standard?

Answer: One-sided lower test

Reason:

We want to test if the breaking strength of seat belt webbing lower than the strength specified in a government safety standard.

The alternate hypothesis in this case is

Hence the test is One-sided lower test.

Suppose you are testing ground water samples for the presence of salt. A level of salt of less than 50 mg/L is desired. You decide to perform a statistical hypothesis test to determine from the salt concentrations in 16 ground water samples whether the salt concentration is below 50 mg/L. Which of the following tests would you use?

Answer:

This one-sided test:

H0: μ = 50 mg/L

H1: μ < 50 mg/L

Reason: We want to test whether the salt concentration is below 50 mg/L. Therefore, the alternate hypothesis in this case is

Suppose you are determining whether the depth of groves cut into aluminum by a milling machine is deeper than 1.7 mm. You cut 14 groves, then measure the depth of each one. With these measurements, you perform a statistical hypothesis test to determine whether the groove depth is deeper than 1.7 mm. Which of the following tests would you use?

Answer:

This one-sided test:

H0: μ = 1.7 mm

H1: μ > 1.7 mm

Reason: We want to test whether the groove depth is deeper than 1.7 mm. Therefore, the alternate hypothesis in this case is