1:584GLTEQAA E18. The distribution ages for students atthe state college is positively skewedwith a mean of u = 21.5 and astandard deviation of o = 3.%3Da. What is the probability ofselecting a random sample of n =4 students with an average agegreater than 23? (Careful: This isa trick question.)b. What is the probability ofselecting a random sample of n=36 students with an average agegreater than 23?lil 1:554GLTEQ AAE7. For a population with o = 12, howlarge a sample is necessary to have astandard error that is:a. less than 4 points?b. less than 3 points?c. less than 2 point?

As per our guidelines we are suppose to answer first question only. Given,mean(μ)=21.5standard…

Answered: 18. The distribution ages for students…

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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12. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 an d a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating between 200 and 275. Show work.
Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.3 ppm and standard deviation 1.6 ppm. 6 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected city's waterway will have more than 8.8 ppm pollutants? d. For the 6 cities, find the probability that the average amount of pollutants is more than 8.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? O No Yes Question Help: Written Example Message instructor Submit Question Jump to Answer
36. Electric bills: According to the U.S. Energy Information Administration, the mean monthly household electric bill in the United States in a recent year was $110.14. Assume the amounts are normally distributed with standard deviation $20.00. a. What proportion of bills are greater than $130? b. What proportion of bills are between $85 and $140? c. What is the probability that a randomly selected household had a monthly bill less than $120?
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.4 ppm. 36 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? I - N( c. What is the probability that one randomly selected city's waterway will have more than 9.1 ppm pollutants? d. For the 36 cities, find the probability that the average amount of pollutants is more than 9.1 ppm. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average of 36 cities. Q1 = ppm Q3 = ppm IQR: ppm
The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 5.5 ounces. 6 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of x? x - N c. What is the probability that one randomly selected person drinks between 15.5 and 18 ounces of coffee per day? d. For the 6 people, find the probability that the average coffee consumption is between 15.5 and 18 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? No Yes f. Find the IQR for the average of 6 coffee drinkers. Q1: ounces Q3 = ounces IQR: ounces =
According to AC Lens, green eye color is one of the rarest with only 2% of the world's population having that eye color. A random sample of 1000 people from around the world are selected. Let p be the proportion of the sample which has green eyes. 1. What is the mean of the sampling proportion? 2. What is the standard deviation of the sampling proportion? (Round to the nearest thousandth.) 3. Find the probability that p will be between 0.01 and 0.03. P(0.01 < p < 0.03) = 4. What is the rule of thumb for normalizing the sampling distribution of proportions?
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.4 ppm. 18 randomly selected large cities are studied. Round all answers to two decimal places. A.X-NO B. For the 18 cities, find the probability that the average amount of pollutants is more than 9 ppm. C. What is the probability that one randomly selected city's waterway will have more than 9 ppm pollutants? D. Find the IQR for the average of 18 cities. Q1 = Q3 = IQR:
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.5 ppm and standard deviation 1.7 ppm. 37 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? ¤ - N( c. What is the probability that one randomly selected city's waterway will have more than 9.8 ppm pollutants? d. For the 37 cities, find the probability that the average amount of pollutants is more than 9.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average of 37 cities. Q1 = ppm Q3 = ppm IQR: ppm
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The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 6 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected person drinks between 15.7 and 16.1 ounces of coffee per day? d. For the 35 people, find the probability that the average coffee consumption is between 15.7 and 16.1 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary?O NoO Yes f. Find the IQR for the average of 35 coffee drinkers. Q1 ounces Q3 = ounces IQR: ounces II
2. Ms. Palac, a sociologist, made a study on the age in years of a woman at the time of her first marriage. She randomly selected a sample of 24 and 21 married women from Village A and Village B, respectively. The following data are the mean and standard deviation for each group: Village A: x = 18.63 and s = 5.54 Village B: x = 24.90 and s = 5.54 Test the hypothesis that the women in Village A get married younger than women in Village B. Use 0.10 significance level. Step 1: Null and Alternative Hypothesis Ho: Ha: Step 2: Level of Significance and appropriate test statistic Step 3: Determine the Critical Region Degrees of Freedom (df): Critical Region: Step 4: Compute the z or t value Computations: Step 5: Decide whether to accept or reject Ho Step 6: Conclusion

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