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4. Probability computations using the standard normal distribution Assume that x, the starting salary offer for...
ssume that X, tandard deviation of $3,150. the starting salary offer for sociology majors, is normally...
ssume that X, tandard deviation of $3,150. the starting salary offer for sociology majors, is normally distributed with a mean of $43,256 and a Use the following Distributions tool to help you answer the questions. (Note: To begin, click on the button in the lower left hand corner of the tool that displays the distribution and a single orange line.) Standard Normal Distribution Mean 0.0 Standard Deviation-1.0 -4 -3 -2 The probability that a randomly selected sociology major received a...
To FOUR DECIMAL PLACES: Determine the area under the standard normal curve that lies to the...
To FOUR DECIMAL PLACES: Determine the area under the standard normal curve that lies to the left of Z = –1.31 to the right of Z = –2.47 between Z = –2.47 and Z = –1.31 between Z = 1.31 and Z = 2.47 Find the z-scores that separate the middle 84% of the standard normal distribution from the area in the tails. Find z0.18 a. Find the Z-score corresponding to the 72nd percentile. In other words, find the Z-score...
2. What are the parameters (Mean and standard deviation) for a standard normal distribution? 3. Find...
2. What are the parameters (Mean and standard deviation) for a standard normal distribution? 3. Find the critical value for Zoo 4. Find the z score that would give us the area in the right 30% of the standard normal curve. 5. Find the area to the left of z = -0.42. Draw a standard normal curve of the region described. 6. Find the area to the right of z=0.89. Draw a standard normal curve of the region described. 7....
The mean starting salary for college graduates in 2016 was $36,000. Assume that the distribution of...
The mean starting salary for college graduates in 2016 was $36,000. Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3,000. 1.What is the probability that a graduate will have a starting salary more than $43,500? 2. What is the probability that a graduate will have a starting salary between $42,000 and $43,500? 3. What is the probability that a graduate will have a starting salary between $30,000 and $45,000? 4. What starting...
4. Interpreting area under the standard normal curve Suppose Dunlop Tire manufactures tires having the property...
4. Interpreting area under the standard normal curve Suppose Dunlop Tire manufactures tires having the property that the mileage the tire lasts approximately follows a normal distribution with mean u=70,000 miles and a standard deviation o=4400 miles. a. What percent of the tires will last at least 75,000? b. Suppose Dunlop gives a warranty for tires to last 60,000 miles. What percent of the tires will last 60,000miles or less? c. What is the probability that a randomly selected Dunlop...
Determine the area under the standard normal curve that lies between (a) Z=−1.72 and Z=1.72, (b)...
Determine the area under the standard normal curve that lies between (a) Z=−1.72 and Z=1.72, (b) Z=−2.89 and Z=0, and (c) Z=−0.43 and Z=0.96. Find the z-score such that the area under the standard normal curve to the left is 0.57. Find the z-score such that the area under the standard normal curve to the right is 0.11. The approximate z-score that corresponds to a right tail area of 0.11 is ___. Find the z-scores that separate the middle 31%...
Using the Standard Normal Distribution Table to find the area under the standard normal curve. a)...
Using the Standard Normal Distribution Table to find the area under the standard normal curve. a) Find the area under the standard normal curve to the left of z=-100. b) Find the area to the left of z=1.18.
Consider a normal distribution with mean 25 and standard deviation 5. What is the probability a...
Consider a normal distribution with mean 25 and standard
deviation 5. What is the probability a value selected at random
from this distribution is greater than 25? (Round your answer to
two decimal places.)
Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.)
μ = 14.9; σ = 3.5
P(10 ≤ x ≤ 26) =
Need Help? Read It
Assume that x has a...
For the standard normal distribution shown on the right, find the probability of z occurring in...
For the standard normal distribution shown on the right, find the probability of z occurring in the indicated region. 0.61 -0.93 z A normal curve is over a horizontal z-axis. Vertical line segments extend from the horizontal axis to the curve at negative 0.93 and 0.61. The area under the curve between negative 0.93 and 0.61 is shaded. The probability is nothing. (Round to four decimal places as needed.)
Which of the following statements is not a property of the normal probability distribution?
Which of the following statements is not a property of the normal probability distribution?A. The normal distribution is symmetricB. Exactly two-thirds of all possible observed values of the random variable x are within plus or minus one standard deviations of the population meanC. The mean, median and mode are equalD. The area under the normal curve to the right of the mean is equal to the area under the normal curve to the left of the meanE. All of the...
ssume that X, tandard deviation of $3,150. the starting salary offer for sociology majors, is normally distributed with a mean of $43,256 and a Use the following Distributions tool to help you answer the questions. (Note: To begin, click on the button in the lower left hand corner of the tool that displays the distribution and a single orange line.) Standard Normal Distribution Mean 0.0 Standard Deviation-1.0 -4 -3 -2 The probability that a randomly selected sociology major received a...
2. What are the parameters (Mean and standard deviation) for a standard normal distribution? 3. Find the critical value for Zoo 4. Find the z score that would give us the area in the right 30% of the standard normal curve. 5. Find the area to the left of z = -0.42. Draw a standard normal curve of the region described. 6. Find the area to the right of z=0.89. Draw a standard normal curve of the region described. 7....
4. Interpreting area under the standard normal curve Suppose Dunlop Tire manufactures tires having the property that the mileage the tire lasts approximately follows a normal distribution with mean u=70,000 miles and a standard deviation o=4400 miles. a. What percent of the tires will last at least 75,000? b. Suppose Dunlop gives a warranty for tires to last 60,000 miles. What percent of the tires will last 60,000miles or less? c. What is the probability that a randomly selected Dunlop...
Consider a normal distribution with mean 25 and standard
deviation 5. What is the probability a value selected at random
from this distribution is greater than 25? (Round your answer to
two decimal places.)
Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.)
μ = 14.9; σ = 3.5
P(10 ≤ x ≤ 26) =
Need Help? Read It
Assume that x has a...
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