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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

The Candy Shoppe assembles gift boxes that contain 8 chocolate truffles and two handmade caramel nougats. The truffles have a mean weight of 2 ounces with a standard deviation of 0.5 ounce, and the nougats have a mean weight of 4 ounces with a standard deviation of 1 ounce. The empty boxes weigh 3 ounces with a standard deviation of 0.2 ounce.

(a) Assuming that the weights of the truffles, nougats, and boxes are independent, what are the mean and standard deviation of the weight of a box of candy?

(b) Assuming that the weights of the truffles, nougats, and boxes are approximately Normally distributed, what is the probability that a randomly selected box of candy will weigh more than 30 ounces?

(c) If five gift boxes are randomly selected, what is the probability that at least one of them will weigh more than 30 ounces?

(d) If five gift boxes are randomly selected, what is the probability that the mean weight of the five boxes will be more than 30 ounces?

In an experiment to learn whether Substance M can help restore memory, the brains of 20rats were treated to damage their memories. The rats were trained to run a maze. After a day, 10rats (determined at random) were given M and 7of them succeeded in the maze. Only 2of the 10control rats were successful. The two-sample z test for 鈥渘o difference鈥� against 鈥渁 significantly higher proportion of the M group succeeds鈥�

(a) gives z=2.25,P<0.02

(b) gives z=2.60,P<0.005

(c) gives z=2.25,P<0.04but not <0.02

(d) should not be used because the Random condition is violated

(e) should not be used because the Normal condition is violated.

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.

Looking back on love How do young adults look back on adolescent romance? investigators interviewed couples in their mid-twenties. The female and male partners were interviewed separately. Each was asked about his or her current relationship and also about a romantic relationship that lasted at least two months when they were aged 15or16 . One response variable was a measure on a numerical scale of how much the attractiveness of the adolescent partner mattered. You want to compare the men and women on this measure.

Final grades for a class are approximately Normally distributed with a mean of 76and a standard deviation of 8. A professor says that the top 10%of the class will receive an A, the next 20%a B, the next 40%a C, the next 20%a D, and the bottom 10%an F. What is the approximate maximum average a student could attain and still receive an F for the course?

(a) 70

(b)69.27

(c) 65.75

(d) 62.84

(e)57
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