It has been observed that the net amount of soda in such a can has a normal distribution with a mean of 12 ounces and a standard deviation of .015 ounce. a) If 1 can is selected, what is the probability that it contains less than 11.97 ounces of soda? b) If a sample of 16 cans is selected, what is the probability that the sample mean contains between 12.02 and 12.07 ounces of soda?

It has been observed that the net amount of soda in such a can has a normal distribution with a mean of 12 ounces and a standard deviation of .015 ounce. a) If 1 can is selected, what is the probability that it contains less than 11.97 ounces of soda? b) If a sample of 16 cans is selected, what is the probability that the sample mean contains between 12.02 and 12.07 ounces of soda?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The number of sales that a car salesperson makes per month is normally distributed with mean 15 and standard deviation 4 . a. Find the probability that a randomly selected car salesperson will sell more than 14 cars this month.b. What is the average number of cars that a group of 25 sales people must sell to be in the 90thpercentile?
The number of pizzas consumed per month by university students is normally distributed with a mean of 11 and a standard deviation of 4. A. What proportion of students consume more than 14 pizzas per month? Probability = B. What is the probability that in a random sample of size 10, a total of more than 100 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 10 students?) Probability =
Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6. a) b) c)
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.59 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected. 1. What is the probability that the sample mean is between 2.57 and 2.61 inches? 2. The probability is 63% that the sample mean will be between what two values symmetrically distributed around the population mean? 3. What is the probability that the sample mean is less than 2.56 inches?
Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. a.) What is the probability that a woman has a pulse rate higher than 73.2 beats per minute? b.) What pulse rate would separate the lowest 65% of women from the top 35%? c.) What is the probability that a group of 15 women has a mean pulse rate between 74.1 and 83.5 beats per minute? d.) Even though the sample size is less than thirty in part (c) of this question, why can the Central Limit Theorem still be applied? e.) If you were a doctor who is selecting pulse rates as cutoff values for determining whether further tests are needed for patients, which result is more relevant to use, part (a) or part (c)? Why?
3. Suppose a store has a filling machine that fills 12 ounce bottles of juice. It is known that the amount of juice poured by this filling machine follows a normal distribution with a mean of 12.10 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.06 and 12.16 ounces
For the midterm exam in science of grade 8 students, the mean grade is 82 with standard deviation of 13. A random sample of size 30 will be taken. a. What is the probability that the sample mean is less than 75? b. What is the probability that the sample mean is greater than 90?
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams with a standard deviation of 0.2 grams. a) What is the probability that a randomly chosen mouse has a mass of less than 20.16 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 20.51 grams? c) What proportion of mice have a mass between 20.14 and 20.39 grams?
The Brac University Debate Team is looking for new members to join the team. The IQ of all the try-out participants is known to follow a normal distribution with a mean of 97 points and a standard deviation of 17 points. To have a shot at joining the team, one must have an IQ between 87 points and 122 points; otherwise the team may end up imbalanced and incompatible. a. What is the probability that a randomly selected try-out participant will not satisfy the IQ requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 80 percentile value for the IQ of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. points c. Team members with IQ among the bottom 11.58% of the accepted range are required to attend extra training sessions. What should be the minimum IQ of a debater who wishes to avoid the extra training sessions? Answer in exact fraction, or rounded to at least 2 decimal places. points
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
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 19.6 grams with a standard deviation of 0.14 grams. a) What is the probability that a randomly chosen mouse has a mass of less than 19.52 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 19.66 grams? c) What proportion of mice have a mass between 19.53 and 19.67 grams?
The Brac University Basketball Team is looking for new players to join the team. The heights of all the try-out participants is known to follow a normal distribution with a mean of 168 cm and a standard deviation of 7 cm. To have a shot at joining the team, one must have a height between 159 cm and 175 cm; otherwise the team may end up imbalanced and incompatible. a. What is the probability that a randomly selected try-out participant will not satisfy the height requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 80 percentile value for the height of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. cm c. A point quard on the team should be among the top 14.87% of the accepted height range. So, what is the minimum height the coach should look for while picking a point guard? Answer in exact fraction, or rounded to at least 2 decimal places. cm