For the following situations, decide whether the relevant alternative hypothesis

Question

For the following situations, decide whether the relevant alternative hypothesis should contain a , or (Your answer should just be the symbol , or "not equal") (a) R.R. Bowker Co. of New York collects information on the retail prices of books. In 1997, the mean retail price of history books was $43.50. We plan to collect data this year to decide whether the mean retail price of history books has increased (b) A snack-food company produces a 454 g bag of pretzels. If the mean net weight is less than 454 g, the company will be short-changing its customers; and if the mean new weight exceeds 454g, the company will be unnecessarily overfilling the bags. The quality assurance department periodically tests whether the packaging machine is working properly. (c) According to the Food and Nutrition Board of the National Academy of Sciences, the recommended daily allowance (RDA) of calcium for adults is 800 milligrams. we want to see if more than 50% of persons with an income below the poverty level gets less than the RDA of 800 mg

Explanation / Answer

Solution:-

a)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: < 43.50
Alternative hypothesis: > 43.50

Note that these hypotheses constitute a one-tailed test.

b)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: > 454
Alternative hypothesis: < 454

Note that these hypotheses constitute a one-tailed test.

c)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: P < 0.50
Alternative hypothesis: P > 0.50

Note that these hypotheses constitute a one-tailed test.

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