(iii) The sampoo on Alpha and Bravo has the same probability ofworking as with Alpha and Charlie. This probability is 10%.(iv) The sampoo on Bravo and Charlie in 40% of cases works.How likely is it that the shampoo will work on all three mice at thesame time?Hint: use the principle of inclusion-exclusion 4. In an animal experiment, three mice with dandruff in their hair arewashed with hair shampoo. The mice are named Alpha, Bravo andCharlie. From many previous animal experiments, it is known that(i) Alpha, Bravo and Charlie have no dandruff after washing in 30%,45% respectively 65% in most cases they no longer have dandruff.(ii) The shampoo on Alpha, Bravo or Charlie in 95% of the casesworks.

Let us assume the sizes of three sets, |X|,|Y| and |Z|, the size of their intersections areX∩Y,X∩Z…

Answered: 4. In an animal experiment, three mice…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell in her Etsy shop for $28.00 each. However, she is worried that if the average price of comparable scarves is less than $28.00, hers would be less likely to sell. Mairin selected a random sample of 9 similar hand‑knit, wool‑blend infinity scarves, and their prices are as follows. $21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00$21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00 Use a left‑tailed one‑sample ?t‑test to determine whether the average price of hand‑knit, wool‑blend infinity scarves sold on Etsy is less than $28.00. Assume that the prices of all comparable scarves are normally distributed. Mairin should (reject, accept, fail to accept) her null hypothesis. There is (sufficient, no, insufficient) evidence that the mean price of hand‑knit, wool‑blend infinity scarves is (greater than, different from, less than, equal two) $28.00.
You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control group. The control group will be told that are participating in a weight-loss study, but will not be following any particular diet. This is to study the placebo effect, weight-loss from just participating in the study. At the start of the study, each participant's weight is recorded in pounds. After 8 weeks they are weighed again, and the weight difference is recorded. A positive value represents a weight loss while a negative value represents a weight gain. Test at 5% significance. Round answers to 3 decimal places. Diet Type Low Calorie Low Calorie Low Calorie Low Calorie Low Calorie Low Fat Low Fat Low Fat Low Fat Low Fat Low Carb Low Carb Low Carb Low Carb Low Carb Control Control Control Control Control Pounds Lost 6.9 4.7 3.5 7.7 5.9 3.8 1.4 3.8 5.2 2 4.9 2.6 2.7 5.6 3.4 1.3…
You find a coin in the street and are flipping it while walking away. You happen to look at the outcomes of your coin flips and notice heads is showing up more than you think it should. After 10 flips, the coin has landed on heads 8 of the 10 flips. Deciding you need more data, you flip the coin 25 more times and it lands heads up 18 times. You have now flipped the coin 35 times, 26 of which have landed heads. You are still surprised of these results, so you decide to flip the coin 100 more times and record the data. This time, the coin landed heads up 75 times. Now, you flip your coin 135 times, and it lands heads up 101 times. Are you convinced that the coin you have found is weighted, meaning that it favors one outcome over the other? Why? What is the name of the property of probability shown in the previous example? (continuous probability, discrete probability, law of averages, law of large numbers)
Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O O
Example 17: In a sample of 1000 citizens of India, 540 are wheat eaters and the rest are rice eaters. Can we assume that both rice and wheat are equally popular in India at a%. level of significance?
Using the same question from #3 A survey is done to find out the favorite movies of 500 children. The children are categorized into male and female, and a sample of 50 children is chosen. Answer the following question: If the number of female children is 300, what is the sample size of each stratum? a male sample: 40 and female sample: 10 b male sample; 25 and female sample: 25 c male sample: 30 and female sample: 20 d male sample: 20 and female sample: 30
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
Students at a major university believe they can save money buying textbooks online rather than at the local bookstores. In order to test this theory, they randomly sampled 25 textbooks on the shelves of the local bookstores. The students then found the "best" available price for the same textbooks via online retailers. The prices for the textbooks are listed in the following table. Based on the data, is it less expensive for the students to purchase textbooks from the online retailers than from local bookstores? Use a = 0.01. Let prices at local bookstores represent Population 1 and prices at online retailers represent Population 2. Textbook Bookstore 1 127 2 51 3 107 4 64 5 138 6 83 7 129 8 88 9 50 10 78 11 111 12 138 13 115 Textbook Prices (Dollars) Online Retailer Textbook 14 15 16 17 18 19 20 21 22 23 24 25 135 51 90 46 125 88 125 92 34 76 95 127 96 Bookstore 53 133 111 90 60 54 118 86 77 56 51 100 Online Retailer 61 130 126 93 67 68 99 84 58 46 34 109 Copy Data Step 2 of 3:…
Q1
The statistics department at a large Midwestern university is interested in how students feel about their introductory statistics course. They decide to randomly select 60 introductory stats students to give a survey, 10 from both the freshman and sophomore class ranks and 20 from both the junior and senior class ranks. They discover that of the 60 total respondents, 73% have a positive attitude toward intro stats. The proportion of the 60 introductory statistics students surveyed by the statistics department that did have positive attitudes toward intro stats (73%) is called a O a. population parameter O b. residual O c. correlation coefficient O d. sample statistic 3 Stat100 Practice..pdf 7 Writing Prompt 3.docx E Online Syllabus J...pdf E Bios357Schedul.pdf SH OCT1 étv 20 F3 トI A FI F9 F10 F5 F7 F8 F2 F4 %23 2$ & * 2 4. 5 6 7 8 9 Q W E T Y S F G H K しの

You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control group. The control group will be told that are participating in a weight-loss study, but will not be following any particular diet. This is to study the placebo effect, weight-loss from just participating in the study. At the start of the study, each participant's weight is recorded in pounds. After 8 weeks they are weighed again, and the weight difference is recorded. A positive value represents a weight loss while a negative value represents a weight gain. Test at 10% significance. Round answers to 3 decimal places. Diet Type Low Calorie Low Calorie Low Calorie Low Calorie Low Calorie Low Fat Low Fat Low Fat Low Fat Low Fat Low Carb Low Carb Low Carb Low Carb Low Carb Control Control Control Control Control Pounds Lost 5.3 6.6 10.5 6.4 8.9 5 4 0.2 2.9 2.6 4.6 2.9 0.8 2.4 2.5 1.9…
In a US presidential election, the incumbent president wins with 51.5% of the vote to 48.2% for the primary challenger (and .3% to others). In a nationwide telephone poll of 1000 people conducted exactly one week before the election by a university polling group, 49% of people polled supported the incumbent president, 50% supported the challenger, and 1% supported other candidates. a. For the polling study, what was the population of interest? b. What was the sample? c. Why did the sample results differ from the population? d. What are two constants that might have limited the generalizability of the polling results?

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