Hypothesis Testing

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weight 18.4 lbs. What is the null and alternate hypothesis? 

• H₀ = 18.4
  H_a = 18.4
• H₀ = 18.4
  H_a > 18.4
• H₀ = 18.4
  H_a < 18.4
• H₀ = 18.4
  H_a ≠ 18.4

Which of the following is not an option for an alternate hypothesis? 

• H_a = k
• H_a > k
• H_a < k
• H_a ≠ k

What is the only option for the null hypothesis? 

• H₀ = k
• H₀ > k
• H₀ < k
• H₀ ≠ k

H₀: μ = k

H₁: μ ≠ k

• Left-tailed test

• Two-tailed test

• Right-tailed test

H₀: μ = k

H₁: μ > k

• Left-tailed test

• Right-tailed test

Tags

CCSS.HSS.IC.B.3

What is the 5 steps procedure for hypothesis testing?

• 1) State the hypotheses and identify the claim

  2) Find the critical value

  3) Compute the test value

  4) Summarize the results

  5) Make the decision (reject or not reject)

• 1) State the hypotheses and identify the claim

  2) Compute the test value

  3) Find the critical value

  4) Make the decision (reject or not reject)

  5) Summarize the results

• 1) State the hypotheses and identify the claim

  2) Find the critical value

  3) Compute the test value

  4) Make the decision (reject or not reject)

  5) Summarize the results

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

• Do not reject Ho

• Do not reject Ha

Tags

CCSS.HSS.IC.B.4

In performing a hypothesis test where the null

hypothesis is that the μ = 6.9. A random sample of 16

items is selected. The sample mean is 7.1 and the sample

standard deviation is 2.4. It can be assumed that the

population is normally distributed at α = .05.

• Reject Ho

• Reject Ha

• Do not reject Ho

• Do not reject Ha

Tags

CCSS.HSS.IC.B.4

The average miles on a tank of gas for the Ford

Explorer is 300 miles with a standard deviation of 22

miles. A consumer group feels the average is actually

lower. They survey 40 vehicles and find the average

miles per tank is 290 miles. At α = 0.05, test the

consumer groups’ claim that the miles per tank is

actually lower than 300 miles.

• Reject Ho

• Reject Ha

• Do not reject Ho

• Do not reject Ha

Tags

CCSS.HSS.ID.A.4

When do you use a t-value instead of a z-value? 

• When n < 30
• When n ≥ 30
• When all of the planets align
• When Ms. O said to

Tags

CCSS.HSS.ID.A.4