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Chapter 10: Q. 2.1 (page 638)

The U.S. Department of Agriculture (USDA) conducted a survey to estimate the average price of wheat in July and in September of the same year. Independent random samples of wheat producers were selected for each of the two months. Here are summary statistics on the reported price of wheat from the selected producers, in dollars per bushel:

Construct and interpret a 99% confidence interval for the difference in the mean wheat price in July and in September.

Short Answer

Expert verified

No, enough evidence are not provided by the data set that polyester decays more in 16weeks in comparison of 2weeks.

Step by step solution

01

Given information

02

Explanation

The null and alternative hypothesis is

H0:渭1=渭2

Ha:渭1<渭2

The output came using Ti-83plus calculator is

Assume, the significance level to be 0.05%

The null hypothesis is not rejected

At 5%significance level, there are insufficient evidence to conclude that polyester decays more in 16weeks in comparison of2weeks.

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Most popular questions from this chapter

Many new products introduced into the market are targeted toward children. The choice behavior of children with regard to new products is of particular interest to companies that design marketing strategies for these products. As part of one study, randomly selected children in different age groups were compared on their ability to sort new products into the correct product category (milk or juice). Here are some of the data:

Age groupNNumber who sorted correctly4- to 5-year-olds50106- to 7-year-olds5328

Are these two age groups equally skilled at sorting? Use information from the Minitab output below to support your answer.

The distribution of grade point averages for a certain college is approximately Normal with a mean of 2.5and a standard deviation of 0.6. According to the 68鈥�95鈥�99.7rule, within which interval would we expect to find approximately 81.5%of all GPAs for students at this college?

(a)(0.7,3.1)

(b)(1.3,3.7)

(c)role="math" localid="1650374007246" (1.9,3.7)

(d)(1.9,4.2)

(e)(0.7,4.2)

AP3.25. Suppose the null and alternative hypotheses for a significance test are defined as H0:渭=40H伪:渭<40 Which of the following specific values for Ha will give the highest power?

(a) 渭=38

(b)渭=39

(c) 渭=42

(d)渭=41

(e)渭=42

Acupuncture and pregnancy A study reported in the medical journal Fertility and Sterility sought to determine whether the ancient Chinese art of acupuncture could help infertile women become pregnant. One hundred sixty healthy women who planned to have IVF were recruited for the study. Half of the subjects 80were randomly assigned to receive acupuncture 25minutes before embryo transfer and again 25minutes after the transfer. The remaining 80women were assigned to a control group and instructed to lie still for 25minutes after the embryo transfer. Results are shown in the table below.


Acupuncture
Control group
Pregnant3421
Not pregnant4659
Total8080

Is the pregnancy rate significantly higher for women who received acupuncture? To find out, researchers perform a test of H0:P1=P2versus H伪;P1>P2, whereP1&P2are the actual pregnancy rates for women like those in the study who do and don't receive acupuncture, respectively.

(a) Name the appropriate test and check that the conditions for carrying out this test are met.

(b) The appropriate test from part (a) yields a P-value of 0.0152Interpret thisP-value in context.

(c) What conclusion should researchers draw at the 伪=0.05significance level? Explain.

(d) What flaw in the design of the experiment prevents us from drawing a cause-and-effect conclusion? Explain.

Pat wants to compare the cost of one- and two-bedroom apartments in the area of her college campus. She collects data for a random sample of 10 advertisements of each type. The table below shows the rents (in dollars per month) for the selected apartments.

Pat wonders if two-bedroom apartments rent for significantly more, on average than one-bedroom apartments. She decides to perform a test of H0:渭1=渭2 versus Ha:渭1<渭2, where 渭1 and 渭2 are the true mean rents for all one-bedroom and two-bedroom aparaments, respectively, near the campus.

(a) Name the appropriate test and show that the conditions for carrying out this test are met.

(b) The appropriate test from part (a) yields a P-value of 0.058. Interpret this P-value in context.

(c) What conclusion should Pat draw at the伪=0.05 significance level? Explain.
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