16. Sweet corn of a certain variety is known to produce individual ears of corn with a mean weight of 8ounces. A farmer is testing a new fertilizer designed to produce larger ears of corn, as measured bytheir weight. He finds that 32 randomly-selected ears of corn grown with this fertilizer have a meanweight of 8.23 ounces and a standard deviation of 0.8 ounces. There are no outliers in the data. Dothese samples provide convincing evidence at the a= 0.05 level that the fertilizer had a positiveimpact on the weight of the corn ears? Justify your answer.

Suppose is the population mean weight of corn ears.

Answered: Sweet corn of a certain variety is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Lake Quanipaug in Connecticut is famous for its yellow perch. Studies have found that the national mean length is µ = 8.2 inches. However, a random sample of 31 fish caught during Memorial weekend at Lake Quanipaug, had a sample mean of x̄=7.1 inches, with an estimated sample standard deviation of s = 3.8 inches. Do these current data indicate that the average length of the yellow caught at Lake Quanipaug is less than historical µ = 8.2 inches? Use α = .02. State α, Ho, H1, p-value, rejection, or non-rejection, and be certain to interpret your results.
In a study by WebCriteria, it took an average of 2.1 minutes to locate information and buy products on the Delta Airlines website, compared to an average of 2.7 minutes on the British Airways site. Assuming normal populations with equal standard deviations, data from sheet 3 contains the times (in minutes) required during visits to the two websites. In a suitable one-tail test at the 0.01 level, was the mean time for the Delta visits significantly less than that for the British Airway visits? Sheet 3 Delta British 2,12 2,44 1,40 2,51 2,03 2,48 2,00 2,88 2,34 2,60 1,63 2,38 1,96 2,77 3,36 2,96 1,69 2,82 2,01 2,45 1,86 3,29 2,08 3,05 2,61 2,03 1,62 3,18 1,67 2,65 2,17 2,94 2,69 3,31 2,34 2,93 2,25…
A state fish hatchery raises trout for stocking streams and lakes. The size of the fish at release time canbe controlled to a fair degree by varying the rate of feeding. The target is a mean of 14 ounces; if the fishare too small, those who catch the fish aren’t happy. A random sample of 82 fish were weighed at time ofrelease and it was determined that the mean was 13.78 ounces with a standard deviation of 1.84 ounces.Test to determine if the fish being released have a population mean less than 14 ounces at the 0.05significance level.
Polychlorinated biphenyl (PCB) is an organic pollutant that can be found in electrical equipment. A certain kind of small capacitor contains PCB with a mean of 47.7 ppm (parts per million) and a standard deviation of 8 ppm. A governmental agency takes a random sample of 37 of these small capacitors. The agency plans to regulate the disposal of such capacitors if the sample mean amount of PCB is 49.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. X
A number of 28 university students who smokes completed a questionnaire inquiring their smoking history and behavior. The result shows that the average smoking initiation age of this group is 21.6 years with a variance of 18.49. Based on past record, the smoking initiation age of university student has a mean of 20.74 years with a standard deviation of 5.1 years. Conduct a necessary analysis to determine if the smoking initiation age remain the same as the previous record. Use 4% level of significance.
The water consumption per week by Brampton residences is normally distributed with an average of 125 gallons of water and a standard deviation of 10 gallons. The city of Brampton claims that the average water consumed in the state of Brampton is not 125 gallons. A team of AU students draws a simple random sample of 10 residences and find the mean consumption value of 120.3 gallons. Calculate the Zc and p-value showing all the steps.
According to a news program, Americans take an average of 4.9 days off per year because of illness. The manager of a large chain of grocery stores wants to know if the employees at the grocery store, on average, take fewer days off than the national average. The manager selects a random sample of 80 employees in the company and found the sample mean number of days off for the 80 employees was 4.75 days with a standard deviation of 0.9 days. When the manager performed a significance test, the P-value was 0.07. What is the meaning of this P-value in context?
The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has mean 28mm Hg and standard deviation 15 mm Hg. The medical director of a large company looks at the medical records of 72 executives in this age group and finds that the mean systolic blood pressure in this sample is x = 126.07 mm Hg. At a 5% significance level, the data fail to show significant evidence that the mean blood pressure of a population of executives differs from the national mean = 128 mm Hg. The medical director now wonders if the test used would detect an important difference if one were present. Use the applet to calculate the power of the test against the alternative μ = 122 mm Hg. Provide your answer to three decimal places. Power =
An elementary school class ran 1 mile with a mean of 11 minutes and a standard deviation of 3minutes. Rachel, a student in the class, ran 1 mile in 8 minutes. A junior high school class ran 1mile with a mean of 9 minutes and a standard deviation of 2 minutes. Kenji, a student in the class,ran 1 mile in 8.5 minutes. A high school class ran 1 mile with a mean of 7 minutes and a standarddeviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes. a. Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he? b. Who is the fastest runner with respect to his or her class? Explain why
A nurse is interested in the amount of time patients spend exercising per day. According to a recent study, the daily workout time per adult follows an approximately normal distribution with a mean of 94 minutes and a standard deviation of 27minutes. If the nurse randomly samples patients in her office to analyze their exercise time and gets a standard error of 3minutes, how many patients did she sample?
A research firm supplies manufacturers with estimates of the sales of their products from samples of stores. Marketing managers often look at the sales estimates and ignore sampling error. An SRS of 50 stores this month shows mean sales of 41 units of a particular appliance with standard deviation of 11 units. During the same month last year, an SRS of 52 stores gave mean sales of 38 units of the same appliance with a standard deviation of 13units. An increase from 38to 41 is a rise of 7.9%.. The marketing manager is happy because sales are up 7.9%. (a) Give a 95%confidence interval for the difference in mean number of units of the appliance sold at all retail stores. Give your answers to three decimal places. lower bound: upper bound:
Your research group has been hired to determine if college men and women drink different amounts of soft drinks at Illinois State University. After a careful study, your group has determined that males drink an average of 12 sodas per week with a standard deviation of 3.5 whereas female students drink an average of 9 soft drinks per week with a standard deviation of 2 sodas. The sample size of males is 200 and the sample size of females is 200. Based on this information, your group calculates the z-score to be: [____].

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