Rejection Region

The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then find the mean capacity to be 248 ml. The standard deviation s is 5ml. Is the claim true at α=0.05?

What is the parameter used?

Tags

CCSS.HSS.IC.B.4

The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then find the mean capacity to be 248 ml. The standard deviation s is 5ml. Is the claim true at α=0.05?

Write the Ho:

The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then find the mean capacity to be 248 ml. The standard deviation s is 5ml. Is the claim true at α=0.05?

Write the Ha:

The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then find the mean capacity to be 248 ml. The standard deviation s is 5ml. Is the claim true at α=0.05?

What is the sample size (n)?

Tags

CCSS.HSS.ID.A.4

The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then find the mean capacity to be 248 ml. The standard deviation s is 5ml. Is the claim true at α=0.05?

What is the level of significance (α)?

The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then find the mean capacity to be 248 ml. The standard deviation s is 5ml. Is the claim true at α=0.05?

What type of test?

• directional

• non-directional

The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then find the mean capacity to be 248 ml. The standard deviation s is 5ml. Is the claim true at α=0.05?

What is the direction?

• left-tailed

• right-tailed

Tags

CCSS.HSS.ID.A.4

The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then find the mean capacity to be 248 ml. The standard deviation s is 5ml. Is the claim true at α=0.05?

What is the test statistic?

• z-test

• t-test

Tags

CCSS.HSS.ID.A.4

The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then find the mean capacity to be 248 ml. The standard deviation s is 5ml. Is the claim true at α=0.05?

What is/are the critical value/s?

Tags

CCSS.HSS.ID.A.4

The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is 250ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then find the mean capacity to be 248 ml. The standard deviation s is 5ml. Is the claim true at α=0.05?

Represent the rejection region.

Tags

CCSS.HSS.ID.A.4