A molecular biologist is studying the effectiveness of a particular enzyme to digest a certain sequence of DNA nucleotides. He dividessix DNA samples into two parts, treats one part with the enzyme, and leaves the other part untreated. He then uses a polymerasechain reaction assay to count the number of DNA fragments that contain the given sequence. Another molecular biologist repeats thestudy with a different design. She makes up 12 DNA samples, and then chooses 6 at random to be treated with the enzyme and 6 toremain untreated. The results are as follows:Enzyme present: 12 15 14 22 22 20Enzyme absent: 23 39 37 18 26 23Let μx represent the population mean with the enzyme absent and let μy represent the population mean with the enzyme present.Find a 95% confidence interval for the difference μ✗- μy (Round the final answers to three decimal places.)

Let X denote the enzyme absent in DNAand Y denotes the enzyme present in DNAThe given data…

Answered: A molecular biologist is studying the…

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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The U.S. Federal Seed Act establishes germination rates for various fruit and vegetable seeds. Watermelon seeds are to meet a 70% germination standard. A skeptical gardener who has not had very good luck planting watermelons believes that the seed company he purchases seeds from is not adhering to the 70% federal mandate. Once a week for 12 weeks, he purchases a pack of 10 watermelon seeds to act as his sample. He plants the seeds in a greenhouse with good soil to maintain a consistent temperature and watering routine. He finds that the germination rate for the company's watermelon seeds is 60%. Is this convincing evidence that the proportion of watermelon seeds that germinate is less than 70%? LAUSE SALT (a) Compute a 95% confidence interval to estimate the proportion of watermelon seeds that germinate. Interpret your interval. (Round your answers to three decimal places.) and a upper value of Based upon this sample, we can be 95% confident that the true proportion of watermelon seeds…
An experimenter wants to study the relationship between type of milk and infant growth in underdeveloped countries. She randomly assigns 300 infants to either a breast-feeding group or an infant formula group. She then weighs the infants every three days for the first four weeks of life.
Ninety percent of the people who have a particular disease will have a positive result on a given diagnostic test. Ninety percent of the people who do not have the disease will have a negative on this test. If 7 percent of a certain populaton has the disease, what percent of that population would test positive for the diesase?
A building contractor has a chance to buy an odd lot of 1,000 used bricks at an auction. She is interested in determining the proportion of bricks in the lot that are cracked and therefore unusable for her current project, but she does not have enough time to inspect all 1,000 bricks. Instead, she checks 150 bricks to determine which ones are cracked. What is the population of interest? all building contractors all 1,000 bricks in the lot the rest of the 850 bricks the 150 bricks selected for inspection the rest of the 700 bricks What group constitutes the sample? the 150 bricks selected for inspection all building contractors the rest of the 700 bricks all 1,000 bricks in the lot the rest of the 850 brickS Submit Answer
A researcher is considering three methods of evaluating two different brands of first aid healing ointment for minor cuts. Classify each method as a survey, an experiment, or an observational study. Then explain which method would be the most reliable. Method A: Randomly divide a group of 100 people with minor cuts into two groups. Have each group use a different ointment and record how long it takes their cuts to heal. Method B: Choose 100 people at random. Ask which ointments they have used in the past and how quickly their cuts have healed with each ointment. Method C: Monitor 100 people who are currently treating minor cuts with an ointment of their choosing and record how long it takes for them to heal. Tell whether each method of gathering data is a survey, an observational study, or an
A forester wanted to survey spruce trees on one face of a mountain in order to determine the percentage of spruce trees that were infested or were attacked by a very destructive insect known as the tomentosus. The forester obtained a map of the mountain and then subdivided the area of interest into 400 square grids with each square covering an area of 100 square metres. A simple random sample of 50 squares was selected, and for each selected square, the survey team determined the total number of spruce trees and the number of such trees that were infested or had been attacked by the tomentosus. What sampling design was used for this survey? If the tomentosus is believed to be evenly distributed throughout the face of this mountain, would you recommend this sampling design? Why or why not? If the tomentosus prefers to reside in regions of the mountain face with higher temperatures and hence lower elevations, would you recommend using a different sampling design? Explain your answer…
Researchers want to investigate whether taking aspirin regularly reduces the risk of heart attack. Four hundred men between the ages of 50 and 84 are recruited as participants. The men are divided randomly into two groups: one group will take aspirin, and the other group will take a placebo. Each man takes one pill each day for three years, but he does not know whether he is taking aspirin or the placebo. At the end of the study, researchers count the number of men in each group who have had heart attacks. Identify the following values for this study: population, sample, experimental units, explanatory variable, response variable, treatments.
A florist wants to determine if a new additive would extend the life of cut flowers longer than the original additive. The florist randomly selects 20 carnations from the ones recently delivered by the greenhouse and places the first 10 in water with the new additive and remaining 10 in water with the original additive. After three weeks, 6 carnations placed in the new additive still looked healthy and 2 carnations placed in the original additive still looked healthy. The proportion of healthy carnations with the new additive was significantly greater than the proportion of healthy carnations with the original additive. Which of the following is a valid conclusion? Conclusions about cause and effect for the additives can be made, because the florist randomly selected the 20 carnations; additionally, inferences can be made about the population of carnations at the greenhouse. Conclusions about cause and effect for the additives cannot be made, because the florist did not…
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Snow removal is a concern in parts of the United States that receive large amounts of snowfall every year. A company that manufactures snow blowers has developed a new auger that is supposed to remove snow faster than the previous design. After a fresh snow, the company asks 20 volunteers to participate in an experiment to determine if the new auger speeds up snow removal. 10 volunteers are randomly assigned to snow blowers equipped with the new auger and the rest are assigned to identical snow blowers equipped with the previous auger design. The volunteers are asked to clear a section of snow-covered parking lot that is 100 meters long. The time (in minutes) that it takes each volunteer to clear the 100 meters appears in the table below. Previous Design 4.2 4.1 5.2 4.6 4.9 4.3 4.6 4.4 4.6| 4.7 New Design 4.2 4.2 4.8 4.6 4.3 4.2 4.8 4.6 4.7 4.1 a. State appropriate hypotheses for performing a significance test. b. Define the parameters of interest. c. Calculate the standardized test…
A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 22 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours: 7.4, 8.6, 6.6, 7.3, 9.1, 8.3, 8.9, 7.3, 9, 8.9, 8.4, 9.3, 7.4, 8.8, 8, 7.2, 10, 7.9, 7.4, 7.3, 7, 8.6 Assuming the population standard deviation is o = 1, construct a 90% confidence interval for the average time it takes this species of bacteria to divide. za = Margin of Error: E = We are 90% confident that this species of bacteria takes, on average, between hours and hours to divide. Submit Question ||
A study shows that 80% of the population was vaccinated against the Venusian flu but 2% of the vaccinated population got the flu anyway. If 10% of the total population got this flu, what percent of the population either got the vaccine or got the disease?

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