Errors AP Stats

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Hint
Check out that formula chart...again!

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Hint: Create some numbers!

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Hint: Read each answer choice carefully

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Erica has a swimming pool at her house. Once a year she purchases a 50-pound bucket of chlorine pellets from an online company. Out of curiosity she weighs the bucket and finds that it only weighs 46.2 pounds. She purchases 4 more 50-pound buckets, giving her an SRS of size 5. The mean weight of the 5 buckets is 48.5 pounds. She suspects that the company is cheating the customers. She uses her data to test the hypotheses H0: \mu = 50 pounds versus Ha:\mu < 50 pounds. The P-value of her test is 0.0851. What decision should she make and what type of error could she make as a result of her decision? Use \alpha =0.05

•  She should reject H0. She could make a Type I error, meaning she finds convincing evidence that the true mean weight of the 50-pound buckets is less than 50 pounds when in reality it is not.

•  She should reject H0. She could make a Type II error, meaning she fails to find convincing evidence that the true mean weight of the 50-pound buckets is less than 50 pounds when in reality it is

•  She should fail to reject H0. She could make a Type I error, meaning she finds convincing evidence that the true mean weight of the 50-pound buckets is less than 50 pounds when in reality it is not.

•  She should fail to reject H0 She could make a Type II error, meaning she fails to find convincing evidence that the true mean weight of the 50-pound buckets is less than 50 pounds when in reality it is.

•  She should fail to reject H0. She could make a low power error, meaning that she rejects the null hypothesis when the null hypothesis is true.

How do you reduce the margin of error?

• Increase Sample Size

• Decrease Sample Size

What is the distribution of the data?

• skewed right

• skewed left

• symmetric

• stairsteps

Hint: remember that lovely formula chart

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Hint: did you divide first?

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Hint: think logically...

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