Hypothesis Testing for Variance and Standard Deviation

For all colleges and universities in the United States, the population variance of the average annual salary of college and university professors (in thousands of dollars) in the United States is approximately 47.1. However, a random sample of 15 colleges and universities in Kansas showed that the variance of annual salary was 83.2. Use an alpha-level of 0.05 to test the claim that the variance for colleges and universities in Kansas is at least 47.1.

• Reject H_o

• Fail to Reject H_o

Tags

CCSS.HSS.IC.A.1

A restaurant claims that the standard deviation of the lengths of serving times is 3 minutes. A random sample of 27 serving times has a standard deviation of 3.9 minutes. Perform a hypothesis test at the α=0.01 level.

• There is enough evidence to reject the claim.

• There is not enough evidence to reject the claim.

• There is enough evidence to support the claim.

• There is not enough evidence to support the claim.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

A nutrition bar manufacturer claims that the standard deviation of the number of grams of carbohydrates in the bar is 1.11 grams. A random sample of 26 bars has a standard deviation of 1.19 grams. At α= 0.05, conduct a hypothesis test to determine if the standard deviation is actually less than the manufacturer's claim.

• Reject H_o

• Fail to Reject H_o

Tags

CCSS.HSS.IC.A.1

What is the only option for the null hypothesis? 

• H₀ = k
• H₀ > k
• H₀ < k
• H₀ ≠ k

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

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

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

Given the following scenario, state whether we would fail to reject or reject the null.

• Reject H₀

• Fail to reject H₀

Tags

CCSS.HSS.ID.A.4

Given the following scenario, state whether we would fail to reject or reject the null.

• Reject H₀

• Fail to reject H₀

Tags

CCSS.HSS.ID.A.4

Given the following scenario, state whether we would fail to reject or reject the null.

• Reject H₀

• Fail to reject H₀

Tags

CCSS.6.SP.A.2

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

• a) Reject the null hypothesis

• b) Reject the alternative hypothesis

• c) Accept the null hypothesis

• d) Fail to reject the alternative hypothesis