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.
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The average diameter of sand dollars on a certain island is 3.50
centimeters with a standard...
ne average age of doctors in a certain hospital is 43,0 years old. Suppose the distribution...
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...
3. Assume that the men's weight is normally distributed with an average of 172 pounds and...
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?
5 The length (in centimeters) of the leaf of a certain plant is a continuous random...
5 The length (in centimeters) of the leaf of a certain plant is a continuous random variable with probability density function defined by f(x) = for x in 14 [3, 5.8]. Find the mean of the distribution, the standard deviation of the distribution, and the probability that the random variable is between the mean and 1 standard deviation above the mean. The mean of the distribution is cm. (Round to one decimal place as needed.) cm. The standard deviation of...
Example The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave...
Example The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave froren dinners is 660 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed. If a single dinner is selected, find the probability that the sodium content will be less than 650 mg
Researchers report that children between the ages of 2 and 5 years watch an average of...
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...
Question 1) Llantas Inc. claims that the average life of a certain tire is greater or...
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 lifetime of a certain brand of tires is normally distributed. The average lifetime of a...
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...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation o...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
The average annual precipitation for a large midwest city is 30.85 inches with a standard deviation...
The
average annual precipitation for a large midwest city is 30.85
inches with a standard deviation of 3.6 inches. Assume the variable
is normally distributed. Find the probability that the mean of a
random sample of 32 months will have a mean less than 30
inches.
Find less than 30 inches the probability that the mean of a random sample of 32 months will have a mean An insurance company says that 15% of all fires are caused a) Find...
Historically, the average height of females in the freshman class of a certain college has been...
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...
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...
5 The length (in centimeters) of the leaf of a certain plant is a continuous random variable with probability density function defined by f(x) = for x in 14 [3, 5.8]. Find the mean of the distribution, the standard deviation of the distribution, and the probability that the random variable is between the mean and 1 standard deviation above the mean. The mean of the distribution is cm. (Round to one decimal place as needed.) cm. The standard deviation of...
Example The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave froren dinners is 660 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed. If a single dinner is selected, find the probability that the sodium content will be less than 650 mg
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...
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...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
The
average annual precipitation for a large midwest city is 30.85
inches with a standard deviation of 3.6 inches. Assume the variable
is normally distributed. Find the probability that the mean of a
random sample of 32 months will have a mean less than 30
inches.
Find less than 30 inches the probability that the mean of a random sample of 32 months will have a mean An insurance company says that 15% of all fires are caused a) Find...
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