The average diameter of sand dollars on a certain island is 3.50 centimeters with a standard deviation of 1.00 centimeters. If 25 sand dollars are chosen at random for a collection, find the probability that the average diameter of those sand dollars is more than 3.28 centimeters. Assume that the variable is normally distributed.
0.636
0.800
0.364
0.864
The average diameter of sand dollars on a certain island is 3.50 centimeters with a standard...
The average diameter of sand dollars on a certain island is 3.50 centimeters with a standard deviation of 1.00 centimeters. If 25 sand dollars are chosen at random for a collection, find the probability that the average diameter of those sand dollars is more than 3.28 centimeters. Assume that the variable is normally distributed.
ne average age of doctors in a certain hospital is 43,0 years old. Suppose the distribution of ages s normal and has a standard deviation of 8.0 years. If 25 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 43.8 years. Assume that the variable is normally distributed [6 marks) 14. A mandatory competency test for high school students has a normal distribution with a mean of 400...
Historically, the average height of females in the freshman class of a certain college has been 162.5 centimeters. Is there reason to believe that there has been a change in the average height if a random sample of 50 females in the present freshman class has an average height of 165.2 centimeters, with a standard deviation of 6.9 centimeters? Assume the level of significance equals 0.05 and that height is normally distributed. What is/are the critical value(s) for this hypothesis...
The lifetime of a certain brand of tires is normally distributed. The average lifetime of a tire is 50,000 miles with a lifetime standard deviation of 8,400 miles. The probability that a randomly selected tire will last less than 45,000 miles is Tables Keypad 10 Points Answer 0.2758 0.0000 0.7242 0.2257 The resting heart rate (bpm) for a given conditioned athlete is a uniformly distributed random variable ranging between 40 and 60 bpm (beats per minute). What is the probability...
3. Assume that the men's weight is normally distributed with an average of 172 pounds and a standard deviation of 29 pounds. Define a variable. Associate the random variable with a distribution and its parameters If a man is selected at random, what is the probability that his weight is greater than 175 pounds? If a sample of 20 men is chosen at random. What is the probability that the average weight is greater than 175 lb?
A quart of milk contains a mean of 35 g of butterfat, with a standard deviation of 4 g. If the butterfat is normally distributed, find the probability that a quart of this brand of milk chosen at random will contain the following. (Round your answers to four decimal places.) (a) between 35 and 39 g of butterfat (b) between 25 and 35 g of butterfat The heights of a certain species of plant are normally distributed, with mean μ...
Question 1) Llantas Inc. claims that the average life of a certain tire is greater or equal than 25,000 miles under normal driving conditions (assume that the population is normally distributed). A random sample of 16 tires is tested. The mean of the sample is 24,000 miles and the standard deviation of the sample is 4,000 miles. What is the critical value? Use alpha = .05. Question 1 options: 1) -1.00 2) -1.753 3) -1.645 4) 1.753 Question 2 (5...
The average bill for car repairs at a car service center is $196, with a standard deviation of $44. Assuming the bills to be normally distributed, find the probability of a bill exceeding $300. Group of answer choices 0.4909 0.0182 0.9819 0.1406 0.0090 A tire manufacturer believes its tires will last an average of 48,000 miles, with standard deviation of 2,000 miles. What is the probability that one of these tires, chosen at random, will last at least 50,000 miles?...
Please explain the process Resistors of a certain type have resistances that are normally distributed with mean 200 ohms. Twenty of these resistors are to be used in a circuit. The standard deviation is 10 ohms. a. Find the probability that a resistor chosen at random has a resistance of less than 205 ohms. b. Find the probability that the average resistance of the 20 resistors is between 199 and 202 ohms. c. For a sample of 20, find the...
Researchers report that children between the ages of 2 and 5 years watch an average of 25 hours of television per week. Assume that the variable time is distributed normally with a standard deviation of 2 hours. A random sample of 40 children between the ages of 2 and 5 was chosen. What is the probability that the average time of the selected group of 40 children between the ages of 2 and 5 watch more than 25.5 hours of...