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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

A sample survey interviews SRSs of 500female college students and 550male college students. Each student is asked whether he or she worked for pay last summer. In all,410of the women and 484of the men say 鈥淵es.鈥� TakepMand localid="1650271716184" pFbe the proportions of all college males and females who worked last summer. We conjectured before seeing the data that men are more likely to work. The hypotheses to be tested are

(a) H0:pM-pf=0versus Ha;pM-pF鈮�0

(b) H0:pM-pF=0versusHa:pM-pF>0.

(c) H0:pM-pF=0versusHa:pM-pF<0

(d) H0:pM-pF>0versusHa:pM-pF=0

(e) H0:pM-pF鈮�0versusHa:pM-pF=0

Refer to Exercise 36. Suppose we select independent SRSs of 16 young men and 9 young women and calculate the sample mean heights xMandxW

(a) Describe the shape, center, and spread of the sampling distribution of xM-xW

(b) Find the probability of getting a difference in sample means x炉M-x炉Wthat鈥檚 greater than or equal to 2inches. Show your work.

(c) Should we be surprised if the sample mean height for the young women is more than 2inches less than the sample mean height for the young men? Explain.

48. Did the randomization produce similar groups? First, compare the two groups of birds in the first year. The only difference should be the
chance effect of the random assignment. The study report says: 鈥淚n the experimental year, the degree of synchronization did not differ between
food-supplemented and control females.鈥� For this comparison, the report gives t=-1.05.
(a) What type of tstatistic (one-sample, paired, or two-sample) is this? Justify your answer.
(b) Explain how this value of t leads to the quoted conclusion.

A certain candy has different wrappers for various holidays. During Holiday 1the candy wrappers are 30%silver, 30%red, and 40%pink. During Holiday 2the wrappers are 50%silver and 50%blue. Forty pieces of candy are randomly selected from the Holiday 1distribution, and 40 pieces are randomly selected from the Holiday 2 distribution. What are the expected value and standard deviation of the total number of silver wrappers?

To study the long-term effects of preschool programs for poor children, researchers designed an experiment. They recruited 123children who had never attended preschool from low-income families in Michigan. Researchers randomly assigned 62of the children to attend preschool (paid for by the study budget) and the other 61 to serve as a control group who would not go to preschool. One response variable of interest was the need for social services as adults. In the past 10years, 38children in the preschool group and 49in the control group have needed social services.

The Minitab output below gives a 95% con铿乨ence interval for p1-p2. Interpret this interval in context. Then explain what additional information the con铿乨ence interval provides.
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