Hypothesis Test Mean

Bedazzled Motor Company claims that its new sedan, the Glitteratti , will average 26 miles per gallon in the city. Use μ, the true average mileage of the Glitteratti .

• H0: μ ≤ 26 Ha: μ > 26 claim

• H0: μ < 26 Ha: μ ≥ 26 claim

• H0: μ > 26 claim Ha: μ ≤ 26

• H0: μ = 26 Ha: μ < 26 claim

A researcher claims that the proportion of Americans that have seen a UFO, p, is less than 3 in every one thousand.

• H0: p > 0.003 Ha: p ≤ 0.003 claim

• H0: p = 0.003 claim Ha: p < 0.003

• H0: p ≥ 0.003 Ha: p < 0.003 claim

• H0: p < 0.003 claim Ha: p ≥ 0.003

A research article in an entomological journal claims that fewer than 7 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.

• H0: p ≥ 0.0007 Ha: p < 0.0007 claim

• H0: p = 0.0007 Ha: p < 0.0007 claim

• H0: p > 0.0007 claim Ha: p ≤ 0.0007

• H0: p ≠ 0.0007 claim Ha: p ≥ 0.0007

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

• Fail to reject Ho

• Fail to reject Ha

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

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.

• 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.B.4

A one sample t-test is conducted on Ho : μ = 81.6. The

sample has a sample mean = 84.1 , s = 3.1, n = 25, and α = .01.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

Tags

CCSS.HSS.IC.B.4

A one sample t-test is conducted on Ho : μ = 81.6. The

sample has a sample mean = 84.1 , s = 3.1, n = 25, and α =

.01.

• 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.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

• Fail to reject Ho

• Fail to reject Ha

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.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.

• 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.B.4

In a recent survey, the average amount of money

students have in their pockets is $5.40 with a standard

deviation of $1.20. A teacher feels that the average

amount is actually higher. She surveys 80 randomly

selected students and finds the average amount is

$5.50. At α = 0.05, test the teacher’s claim that the

average amount of money is actually higher than $5.40.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

Tags

CCSS.HSS.IC.B.4