sample means.5. Suppose the average age of family members is 34 with a standard deviation of 4. If 100members of the community decided to have a summer outing bonding and relaxation, findthe probability that the average of these members is less than 35?A. 91.32%C. 95%B. 94.45%D. 99.38%108 whot is the mean of the sampling distribution?

Answered: Image /qna-images/answer/198ae2c2-bc41-4ab3-99dc-f8a7930c5904.jpg

Answered: 5. Suppose the average age of family…

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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Suppose that the population of middle-school children has a mean of 350 on a reading test and σ = 50. Assume normality. What is the probability that a mean will be greater than 370 with a sample of 25 students? Leave the probability in decimal form (do not convert to percentage). Round to the nearest ten thousandth. (4 decimal places)
You have a uniform distribution whose lowest value is 7 and whose highest value is 15. Find the probability that a randomly selected number from this distribution will be between 9.3 and 10.6.
3) The monthly household cost for a family has a normal distribution with mean of $4,300 and standard deviation of $220. Plot the probability and distribution functions. b. If the monthly income of the family is $4700, what is the probability that their monthly household cost exceeds their monthly income? а.
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
If the grades of 100 students have mean 18 and standard deviation 4. If we subtract 3 from each student, then we divide by -2. The new standard deviation is Select one: O a. 2 O b. 4 O c. -2 O d. -4
The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 67. Round to four decimal places. O A. 0.0228 O B. 0.4772 O C. 0.1293 O D. 0.3707
Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 67 b. If one car is randomly chosen, find the probability that it is traveling more than 64 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph. d. 83% of all cars travel at least how fast on the freeway? mph. Add Work Check Answer
1. The average time a person spends in a library is 30 minutes. The standard deviation is 6 minutes. If a visitor is selected at random. Assume the variable to be normally distributed. a. What is the probability that he/she spends between 25 and 35 minutes? b. What is the probability that he/she spends at most 40 minutes? c. What is the probability that he/she spends at least 35 minutes? 2. Suppose the scores in Statistics exam are normally distributed. If the exam has a mean score of 25 and a standard deviation of 5, what is the probability that if you take the exam you will get a score higher than 32 points?
Suppose scores on an examination are normally distributed. If the examination scores have a mean 60% and a standard deviation of 15%, what is the probability that a student who takes the examination will score between 80% and 90%? I need answer ASAP. Thank you!
D,E, and F
The lengths of pregnancies are normally distributed with a mean of 268 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 days are considered premature. (Round to the nearest integer as needed.)
Please answer A, B, & C.

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5. Suppose the average age of family members is 34 with a standard deviation of 4. If 160 members of the community decided to have a summer outing bonding and relaxation, find the probability that the average of these members is less than 35? A. 91.32% C. 95% R. 94.45% D. 99.38%