Central Limit Theorem2. According to the International Graduation Association, on average,high school girls in Canada spend $\$ 223.55$ on a prom dress with astandard deviation of $\$ 18.14$. If 76 high school girls are surveyedin Canada, what is the probability that the mean cost of their dressesis between $\$ 225.00$ and $\$ 228.00$ ?3. It has been estimated that $23 \%$ of nurses are offered to workovertime on a regular basis. If we randomly selected 225 nurses, whatis the probability that $25 \%$ or less of them will be offeredovertime on a regular basis?SP.VS.717

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Answered: 2. According to the International…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The 2012 National Survey on Drug Use and Health estimated that 25% of canadians agd 12 or over reported binge drinking in the past month. Find the odds of binge drinking
One year, the distribution of salaries for professional sports players had mean $1.6 million and standard deviation $0.81 million. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players that year exceeded $1.7 million. Round your answer to nearest ten-thousandth.
Georgia residents spent an average of $470 on the lottery in 2010, or 1% of their personal income (www.msn.com, May 23, 2012). Suppose the amount spent on the lottery follows a normal distribution with a standard deviation of $50. If five Georgians are randomly selected, what is the probability that the average amount spent on the lottery was more than $500? (Round your answer to three decimal places.)
One year, the distribution of salaries for professional sports players had a mean of $1.6 million and a standard deviation of $0.7 million. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players that year exceeds $1.1 million.
According to College Board, the average out-of-state tuition for a four-year public college was $8,893 for the 2013-2014 academic year. There are a total of 629 four-year public institutions in the U.S. Assume that the standard deviation for the tuition for these colleges is $950. A random sample of 60 four-year public colleges was selected. What is the probability that the average tuition from this sample is less than $9,000?
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 700.1. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 45 high-income individuals and found the sample mean credit score to be 713.4 with a standard deviation of 84.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) e%3D Make a conclusion regarding the hypothesis. the null hypothesis. There…
The cities with the highest life expectancy are Nowhereville: 84.6 years; Somewhereopolis: 79.8 years; Kinch City: 79.8 years; Tortuga: 84.6 years; Euler Town: 78.5 years; Godelville: 84.6 years; Sirap: 90.1 years. Find the mean, the median, and the mode. ..... Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mean life expectancy is years. (Round to the nearest tenth as needed.) B. The mean does not exist. Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The median life expectancy is years. (Round to the nearest tenth as needed.) B. The median does not exist. Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The mode life expectancy is years. (Round to the nearest tenth as needed.) O B. The mode does not exist.
3. After being nominated for an MTV Music Award, the probability of winning is 22%. If Ariana Grande has been nominated for five awards, what is the chance that she will win at least one award? How many awards should she expect to win? What is the standard deviation associated with this probability?
Approximately 10% of people in the U.S. earn an income of $200,000 per year or higher. If income were normally distributed, and the mean income is $40,000 per year, what is the standard deviation of income in the U.S.? (Note. these figures are not accurate.)
Recently, a random sample of 13–18 year olds was asked, "How much do you currently have in savings?" The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings. LOADING... Click the icon to view the frequency distribution for the amount of savings. Savings Frequency $0– $199 343 $200– $399 94 $400– $599 62 $600– $799 21 $800– $999 9 $1000– $1199 5 $1200– $1399 3 The sample mean amount of savings is $nothing. (Round to the nearest dollar as needed.) The sample standard deviation is $nothing. (Round to the nearest dollar as needed.)

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