z-test & t-test

When should you use the t-test? (select all that apply)

• When you are testing a proportion/percentage of a population

• When you are testing for a mean

• When you are given the population standard deviation

• When you are ONLY given the sample standard deviation

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

Hypotheses must have a parameter or statistic such as  $\overline{x},\ \mu,\ \sigma,\ s$  

• True

• False

Tags

CCSS.HSS.IC.A.1

You do not need BOTH null and alternate hypotheses when testing

• True

• False

When testing with  $\alpha=0.01$  you get  $p=0.12$ . Your decision should be 

• Reject $H_0$ , there is a significant difference

• Accept $H_0$ , there is NOT a significant difference

• Reject $H_0$ , there is NOT a significant difference

• Accept $H_0$ , there is a significant difference

Tags

CCSS.HSS.IC.B.5

CCSS.HSS.MD.B.7

When testing with  $\alpha=0.05$  you get  $p=3.2\ E^{-6}$ . Your decision should be 

• Reject $H_0$ , there is a significant difference

• Accept $H_0$ , there is NOT a significant difference

• Reject $H_0$ , there is NOT a significant difference

• Accept $H_0$ , there is a significant difference

Tags

CCSS.HSS.IC.B.5

For the t-test one uses __________ instead of σ.

• n

• s

• χ²

• t

If you wish to test the claim that the mean of the population is 100, the appropriate alternate hypothesis is

•  $\overline{x}=100$  

•  $\mu=100$  

•  $\mu\ne100$  

•  $\mu>100$  

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

In a New York modeling agency, a researcher wishes to see if the average height of female models is really less than 67 inches, as the chief claims. A random sample of 20 models has an average height of 65.8 inches. The standard deviation of the sample is 1.7 inches. At $\alpha=0.05$ , is the average height of the models really less than 67 inches? List test, p-value, and decision.

• z-test,  $p=0.002$ , Accept $H_0$ 

• z-test,  $p=7.98E^{-4}$ , Reject $H_0$ 

• t-test,  $p=0.003$ , Reject $H_0$ 

• t-test,  $p=0.005$ , Reject $H_0$ 

What is the only option for the null hypothesis? 

• H₀ = k
• H₀ > k
• H₀ < k
• H₀ ≠ k

The weight of the average 6th grade boy is 89 lbs. The principal of the school feeds them steak for first semester to see if their weight changes. What are the null and alternate hypotheses?

• H₀: μ = 89

  H₁: μ = 89

• H₀: μ = 89

  H₁: μ > 89

• H₀: μ = 89

  H₁: μ < 89

• H₀: μ = 89

  H₁: μ ≠ 89

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.5