8.3-8.4 Warm-up Hypothesis Testing

Which of the following is the FIRST step of a hypothesis test?

• Check assumptions & conditions
• Find your test statistic
• State your conclusion
• State your null & alternative hypotheses

When p-value is greater than alpha we:

• Reject Ho

• Fail to reject Ha

• Fail to reject Ho

• Reject Ha

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

• a) Reject the null hypothesis

• b) Reject the alternative hypothesis

• c) Fail to reject the null hypothesis

• d) Fail to reject the alternative hypothesis

H₀: μ = k

H₁: μ ≠ k

• Left-tailed test

• Two-tailed test

• Right-tailed test

H₀: μ = k

H₁: μ > k

• Left-tailed test

• Right-tailed test

A cereal company claims the mean sodium content in

one serving of its cereal is no more than 230 mg. You

work for a national health service and are asked to test

this claim. You find that a random sample of 52

servings has a mean sodium content of 232 mg. Assume that it is known that the standard deviation of sodium content of all cereals is 10 mg. At α = 0.05, do you have

enough evidence to reject the company’s claim?

Will you use the z-distribution or the t-distribution to conduct this test?

• t-distribution

• z-distribution

• not enough information

The Quick Stop claims that the Big Slurp will contain 48

ounces of drink. You decide to test this claim because

you feel the actual amount is lower. Over the next few

weeks, you buy 50 Big Slurps and find the average

amount of drink is 47 ounces. Assume it is known that the standard deviation of all Big Slurp drinks is 2.75 ounces. At α = 0.05, can you reject the Quick Stop’s claim?

Will you use the z-distribution or the t-distribution to conduct this test?

• t-distribution

• z-distribution

• not enough information

A fast food outlet claims that the mean waiting time in

line is less than 1.9 minutes. A random sample of 20

customers has a mean of 1.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim using P-values.

Will you use the z-distribution or the t-distribution to conduct this test?

• t-distribution

• z-distribution

• not enough information