Null versus Alternative hypothesis

This symbol denotes the null hypothesis

• H₀

• H_a

This symbol denotes the alternative hypothesis

• H₀

• H₁

Tags

CCSS.HSS.IC.B.5

A car has a mean gas mileage of 26 mpg. Bedazzled Motor Company claims that its new sedan, the Glitteratti , will average better than 26 miles per gallon. What is the null and alternative hypothesis?

• H0: μ = 26 H₁: μ = 26

• H0: μ > 26 H₁: μ = 26

• H0: μ = 26 H₁: μ < 26

• H0: μ = 26 H₁: μ > 26

A soccer team usually has 62,900 people attend their games. The owner of another soccer team claims that the average attendance at games is over 62,900. What is the alternative hypothesis?

• H₁: μ + 62,900

• H₁: μ = 62,900

• H₁: μ < 62,900

• H₁: μ > 62,900

Tags

CCSS.HSS.IC.B.5

Which of the following represents the appropriate null & alternative hypotheses for the following statements?

The mean height of women equal to 64." Researchers now say the mean height of women is greater than 64".

• H₀: μ > 64"

  H₁: μ ≠ 64"

• H₀: μ = 64"

  H₁: μ > 64"

• H₀: μ > 64"

  H₁: μ ≠ 64"

• H₀: μ = 64"

  H₁: μ < 64"

Tags

CCSS.HSS.ID.A.4

True or False:

The null hypothesis is always µ = #.

• True

• False

True or False:

The alternate hypothesis is always µ < , >, or ≠.

• True

• False

True or False:

Your null and alternate hypotheses should always have the same number value.

• True

• False

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 25 people to be placed on this diet. The agency should be testing the null hypothesis H₀: µ = 10 and the alternative hypothesis:

• H₁: μ < 10

• H₁: μ > 10

• H₁: μ = 10

• H₁: μ ≤ 10

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.5

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.
• 24,000 km and 34,000 km.
• 26,000 km and 34,000 km.
• 27,000 km and 31,000 km.

Tags

CCSS.HSS.ID.A.4