Hypothesis Testing review

Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 64"

• H₀: μ > 64"
  Hₐ: μ ≠ 64"
• H₀: μ = 64"
  Hₐ: μ > 64"
• H₀: p > 64"
  Hₐ: p ≠ 64"
• H₀: p = 64"
  Hₐ: p > 64"

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

•   a)  reject the null
• b)  reject the alternative
• c)  Accept the null
• d)  Fail to reject the alternative

In their advertisements, a new diet program would like to claim that their methods result in a mean weight loss of more than ten pounds in two weeks. In order to determine if this is a valid claim, they hire an independent testing agency that then selects twenty-five people to be placed on this diet. The agency should be testing the null hypothesis H₀: m = 10 and the alternative hypothesis

• Ha: μ < 10
• Ha: μ > 10
• Ha: μ ≥ 10
• Ha: μ ≤ 10

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.IC.B.5

When p-value is greater than alpha we:

• Accept Ho
• Accept Ha
• Fail to reject Ho
• Reject Ho

CPS claims that they have at least 5 snow days per year. I sample the last 7 years and get a mean of 4.2 snow days with a standard deviation of 0.3. Is this enough to reject CPS's original claim at an α=.05?

What is n in this question?

• 5

• 7

• 4.2

• .3

CPS claims that they have at least 5 snow days per year. I sample the last 7 years and get a mean of 4.2 snow days with a standard deviation of 0.3. Is this enough to reject CPS's original claim at an α=.05?

What is s_x in this question?

• 5

• 7

• 4.2

• .3

CPS claims that they have at least 5 snow days per year. I sample the last 7 years and get a mean of 4.2 snow days with a standard deviation of 0.3. Is this enough to reject CPS's original claim at an α=.05?

What is μ_o in this question?

• 5

• 7

• 4.2

• .3

CPS claims that they have at least 5 snow days per year. I sample the last 7 years and get a mean of 4.2 snow days with a standard deviation of 0.3. Is this enough to reject CPS's original claim at an α=.05?

What is x̄ in this question?

• 5

• 7

• 4.2

• .3

CPS claims that they have at least 5 snow days per year. I sample the last 7 years and get a mean of 4.2 snow days with a standard deviation of 0.3. Is this enough to reject CPS's original claim at an α=.05?

Which calculator menu options would you choose for this question?

• 6-7-1

• 6-7-2

• 6-7-3

• 6-7-5

Your vet claims that the mean weight of the dogs at her clinic is 37lbs. You believe this is wrong and it is actually higher than 37lbs. You sample the next 45 dogs that come in and get a mean weight of 42 lbs. The population standard deviation is 4 lbs. Can you support your belief about the vet?

What is n for this question?

• 37

• 45

• 42

• 4