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Chapter 8: Q. 24 (page 393)

Cheese Consumption. The U.S. Department of Agriculture reports in Food Consumption, Prices, and Expenditures that the average American consumed 33lbof cheese in 2010. Suppose that you want to decide whether last year's mean cheese consumption is greater than the 2010mean.

a. Identify the null hypothesis.

b. Identify the alternative hypothesis.

c. Classify the hypothesis test as two tailed, left tailed, or right tailed.

Short Answer

Expert verified

The null hypothesis for a. and b. are H0:μ=33.0lb,H0:μ>33.0lbrespectively. For c. the test is right-tailed as(>)appears in b.

Step by step solution

01

Step 1. Given Information 

The U.S. Department of Agriculture reports in Food Consumption, Prices, and Expenditures that the average American consumed33lbcheese in the year 2010.

02

Step 2. Solving for a.

Null hypothesis:
H0:μ=33.0lb
As the last year's mean cheese consumption is not greater than the 2010mean.

03

Step 3. Solving for b.

Alternative hypothesis:
H0:μ>33.0lbAs the last year's mean cheese consumption is not greater than the 2010mean.

04

Step 4. Solving for c.

Upon checking the alternative hypothesis in part b. we know that greater than (>)sign appears . Hence, we can say it is right tailed.

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Most popular questions from this chapter

Critical Values. In Exercises 21–24, refer to the information in the given exercise and do the following.

a. Find the critical value(s).

b. Using a significance level of = 0.05, should we reject H0or should we fail to reject H0?

Exercise 18

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Requirements and Conclusions

a. Are any of the three requirements violated? Can the methods of this section be used to test the claim?

b. It was stated that we can easily remember how to interpret P-values with this: “If the P is low, the null must go.” What does this mean?

c. Another memory trick commonly used is this: “If the P is high, the null will fly.” Given that a hypothesis test never results in a conclusion of proving or supporting a null hypothesis, how is this memory trick misleading?

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In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to this question that was posted on the USA Today website: “Should Americans replace passwords with biometric security (fingerprints, etc)?” Among the respondents, 53% said “yes.” We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Null and Alternative Hypotheses Identify the null hypothesis and alternative hypothesis.
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