Consider a binomial experiment with n = 8 trials where the probability of success on a single trial is p = 0.20. (Round your answers to three decimal places.)n USE SALT(a) Find P(r = 0).(b) Find P(r 2 1) by using the complement rule.

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Answered: Consider a binomial experiment with n =…

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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At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 306 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 252 had no visible scars after treatment. Another random sample of n2 = 428 patients with minor burns received no plasma compress treatment. For this group, it was found that 105 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let p2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limit upper limit
18 A sample of n=8 scores has a mean of M=12. One new score is added to the sample and the new mean is found to be M=13. What is the value of the new score?
Suppose you want to test how fair is the coin. You conduct the following experiment. You flip the 2 coins multiple times and observe HH - 31 times, HT - 15 times, TH - 15 times, and TT - 22 times. What is the Test Statistics to test the Null Hypothesis that the coin is fair against the alternative hypothesis that the coin is unfair?
Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 86 politically conservative voters, r1 = 18 responded yes. Another random sample of n2 = 85 politically moderate voters showed that r2 = 21 responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters so inclined? Use α = 0.05. (a) State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2 H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2 H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large. The standard normal. We assume the population distributions are approximately normal. The Student's t. We assume the population distributions are approximately normal.…
Sean thinks that he has a special relationship with the number 6. In particular, Sean thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pis the true proportion of the time Sean will roll a 6. (a) State the null and alternative hypotheses for testing Sean's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "-", "not =" and express any values as a fraction e.g. p = 1/3) Ho= Ha (b) Now suppose Sean makes n = 30 rolls, and a 6 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value. P-value = ⠀⠀ (c) Answer the question: Does this sample provide evidence at the 5 percent level that Sean rolls a 6 more often than you'd expect? (Type: Yes or No) 4
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A humane society claims that less than 62% of households in a certain country own a pet. In a random sample of 500 households in that country, 290 say they own a pet. At a = 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state Ho and H Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. Less than % of households in the country own a pet. O B. % of households in the country own a pet. O C. The percentage households in the country that own a pet is not %. O D. More than % of households in the country own a pet. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and H.. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) CO A. Hnipz O B. Hnip= OC.…
A gambler simulates a new card game on a computer. Out of 500 trials he wins 200 times. So he calculates P(winning) = 200/500 = 0.40. Why is this only an estimate of the true value of P(winning)? A. There are more than 2 events B. The outcomes are not equally likely C. His estimate is not rounded to 3 decimal places D. If he were to do a different set of 500 trials, he might win 180 times and calculate a different value of P(winning)
Do you prefer paintings in which the people are fully clothed? This question was asked by a professional survey group on behalf of a national arts organization. A random sample of n1 = 58 people who are conservative voters showed that r1 = 45 said yes. Another random sample of n2 = 64 people who are liberal voters showed that r2 = 39 said yes. Does this indicate that the population proportion of conservative voters who prefer art with fully clothed people is higher? Use α = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 ≠ p2H0: p1 > p2; H1: p1 = p2 H0: p1 = p2; H1: p1 < p2H0: p1 = p2; H1: p1 > p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume the population distributions are approximately normal.The standard normal. We assume the population distributions are approximately normal. The standard normal. The number of trials is sufficiently large.The Student's…
Consider a random experiment of throwing three perfectly balanced and identical coins. Suppose that for each toss that comes up heads we win $3, but for each toss that comes up tails we lose $4. Clearly, a quantity of interest in this situation is our total wining. Let X denote this quantity. (a) What are the values that the random variable X takes? (b) Find P(X = 9). (c) Find P(X = -5). (d) Find P(X = 2). (e) Find P(X = -12). (f) Find P(X = 3). (g) Find P(X =-1).

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Consider a binomial experiment with n = 8 trials where the probability of success on a single trial is p = 0.20. (Round your answers to three decimal places.) n USE SALT (a) Find P(r = 0). (b) Find P(r 2 1) by using the complement rule.