The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and astandard deviation of 5.5 ounces. 6 randomly selected people are surveyed. Round all answers to 4 decimalplaces where possible.a. What is the distribution of X? X - N(b. What is the distribution of x? x - Nc. What is the probability that one randomly selected person drinks between 15.5 and 18 ounces of coffeeper day?d. For the 6 people, find the probability that the average coffee consumption is between 15.5 and 18ounces of coffee per day.e. For part d), is the assumption that the distribution is normal necessary? No Yesf. Find the IQR for the average of 6 coffee drinkers.Q1:ouncesQ3 =ouncesIQR:ounces=

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Answered: The amount of coffee that people drink…

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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A bakery owner tabulated sales to 50 customers and obtained the distribution. Find the mean and standard deviation for the data. Sales in dollars Number of customers0.00 – 1, 99 18 2.00 – 3.99 164.00 – 5.99 9 6.00 – 7.99 48.00 – 9.99 3
The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set. 12, 17, 23, 15, 21, 16, 20, 17, 14, 19 …… The range is (Simplify your answer.)
Many college admissions want to know your class percentage in addition to your grades. The grades are normally distributed. A certain university insists that a student place in at the 90th percentile. if the mean is 79.45 and the standard deviation is 5.37, what is the 90th percentile? a.88.07 b.85.01 c.86.33 d.90
QUEST A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9. The top 15% of the students taking the test scored will receive a grade of B. What is the cur score?
The average number of words in a romance novel is 64,159 and the standard deviation is 17,401. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(__________ , ___________) b. Find the proportion of all novels that are between 50,238 and 58,939 words. _______________c. The 85th percentile for novels is_____________________ words. (Round to the nearest word)d. The middle 60% of romance novels have from ______________ words to ________________words. (Round to the nearest word)
After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They start 1900 meters below the surface of the water, and ascend at 62 meters per hour.Note: under the water is a negative number.Write an equation to model this situation (use mm for meters and hh for hours)
The distribution of the number of hours that a random sample of people spend doing chores per week is shown in the pie chart. Use 32 as the midpoint for "30+ hours." Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set. W Click the icon to view the pie chart. ..... 5-9 12 10-14 23 15-19 16 20-24 18 25-29 12 30+ 4 Find an approximation for the sample mean. x= 16.6 (Type an integer or decimal rounded to the nearest tenth as needed.) Find an approximation for the sample standard deviation. s= (Type an integer or decimal rounded to the nearest tenth as needed.)
Jse the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 64 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and 72 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 56 miles per hour and 72 miles per hour.
In a normal curve, the percentage of the scores between one and two standard deviations above the mean is approximately __________. Select one: a. 14% b. 50% c. It is impossible to tell. d. 2% Clear my choice
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
The average production cost for major movies is 57 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 46 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 20 b. What is the distribution of ? - N c. For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 55 million dollars. 58 d. For the group of 46 movies, find the probability that the average production cost is between 52 and 55 million dollars. e. For part d), is the assumption of normal necessary? Yes No
K The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before (Round to the nearest integer as needed.) days are considered premature. .

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