A sampling distribution of the mean has a mean μ X̄ =57 and a standard error σ X̄ =8 based on a random sample of n=12. a. What is the population mean? b. What is the population standard deviation?
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- A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3-hour period. Here X is the number of people who used the machine. X 0 1 2 3 4 PX 0.2 0.2 0.1 0.4 0.1 Find the mean,variance and standard deviationThe distribution is used when the population distribution is normal and Select one: O a. Both a and b are correct. O b. When the sample size is more than 30. O c. When sample size is less than 30 and the population standard deviation is not known. O d. The population standard deviation is also known.A population of N = 5 scores has a mean of u = 20 and a standard deviation of o = 4. Which of the following is the correct Interpretation of the standard deviation? O The average distance of scores from the mean of p- 20 is 5 points. O The average distance of scores from the mean of u = 20 is 1 point. The average distance of scores from the mean of u = 20 is 4 points. O The average squared distance of scores from the mean of u = 20 is 4 points.
- Given a normal distribution with a mean of 50 and a standard deviation of 7 assign the values to the axis below for the mean and the 3 values above and below the meanThe degrees of freedom used when testing two independent samples where the population standard deviation is unknown is Group of answer choices a.n1 + n2 - 2. b.the smaller of n1 - 1 or n2 - 1. c.n1 + n2 - 1. d.the larger of n1 - 1 or n2 - 1.Which statements regarding the mean and standard deviation are TRUE? I. As the number of measurements increases, approaches µ if there is no random error. II. The square of the standard deviation is the average deviation. III. The mean is the center of the Gaussian distribution. IV. The standard deviation measures the width of the Gaussian distribution. I and II ○ III and IV ○ II, III, and IV O I, III, and IV O I, II, and IV
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