An orange juice producer buys oranges from a large orange grove that has one variety of orange The amount of juice squeezed from these oranges is approximatelynormally distributed, with a mean of 6.0 ounces and a standard deviation of 0.16 ounce. Suppose that you select a sample of 16 orangesa. What is the probability that the sample mean amount of juice will be at least 5.68 ounce?b. The probability is 72% that the sample mean amount of juice will be contained between what two values symmetrically distributed around the population mean?e. The probability is 77% that the sample mean amount of juice wil be greater than whiat value?mioa The probability isb. There is a 72% probability that the sample mean amount of juice will be contained betweenounce(s) and ounce(a)pro0.2 There is a 77% probability that the sample mean amount of juice will be greater than ounce(s)

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Answered: An orange juice producer buys oranges…

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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The annual per capita consumption of bottled water was 30.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.8 and a standard deviation of 13 gallons. a. What is the probability that someone consumed more than 41 gallons of bottled water? b. What is the probability that someone consumed between 25 and 35 gallons of bottled water? c. What is the probability that someone consumed less than 25 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? a. The probability that someone consumed more than 41 gallons of bottled water is (Round to four decimal places as needed.) b. The probability that someone consumed between 25 and 35 gallons of bottled water is (Round to four decimal places as needed.) c. The probability that someone consumed less than 25 gallons of bottled water is (Round to four decimal places as needed.) d. 99.5% of people consumed less than (Round to two…
3. Assume the heights of students at Champlain College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College studenttallerthan 62.2 inches?A. 0.0668B. 0.0359C. 0.9332D. 0.9641E. 1.0155
Gas mileage of vehicles follows a normal curve. A Ford Escape claims to get 25 mpg highway, with a standard deviation of 1.6 mpg. A Ford Escape is selected at random. (a) What is the probability that it will get more than 28 mpg? 1b. Suppose the test scores among a set of first year nursing students are normally distributed with a mean of 500 and a standard deviation of 100. If a student nurse scores a 700, what would be her z-score?
The Boeing 157-200 ER aircraft carries 200 passengers and has doors with a height of 72 inches. Male heights are normally distributed with a mean of 67.4 inches and a standard deviation of 3.8 inches. 1. If a male passenger is selected at random, find the probability that he can pass through the door without leaning over. Enter your answer to four decimal places. 2. If half of the 200 passengers are men, find the probability that the average height of the 100 men is less than 72 inches. Enter your answer to four decimal places.
Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.
Suppose that the distribution of the grades of students in MAPEH performance 1 is roughly normally distributed with a mean of 85 and a standard deviation of 5 a. Between what values do we expect the grades of the middle 68% of the MAPEH students in performance 1 lie? b. Suppose you randomly select 16 MAPEH students, find the probability that the average grades of these students is at least 86. c. A MAPEH student whose grades lies in the upper 1% of the distribution (inclusive of the 1% cutoff) is considered extremely performing in Performance 1. Can you say that Jazzer, a randomly selected student who obtained a grade of 95, is one of those who performed extremely in Performance 1?
Furnace repair bills are normally distributed with a mean of 271 dollars and a standard deviation of 20 dollars. If 64 of these repair bills are randomly selected, find the probability that they have a mean cost between 271 dollars and 273 dollars. Round to four decimal places. A. 0.2881 OB. 0.2119 O C. 0.5517 O D. 0.7881
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.65.6 days and a standard deviation of 2.12.1 days. What is the probability of spending more than two days in recovery? A.) 0.9568 B.) 0.0432 C.) 0.8922 D.) 0.0401
Boston, Massachusetts, averages 211.7 sunny days per year. Assume that the number of sunny days follows a normal distribution with a standard deviation of 20 days. 20 What is the probability that Boston has less than 200 sunny days in a given year? a 0.2394 b 0.2520 c 0.2653 d 0.2793
Assume the heights of faculty at Champlain College are normally distributed with a mean of 68.1 inchesand a standard deviation of 1.3 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College faculty membershorterthan 67.5 inches tall?A. 0.0668B. 0.3228C. 0.5001D. 0.6772E. 0.9332
6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 136 lband a standard deviation of 29.6 lb. b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 181 lb.

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