The Gallup Poll once asked a random sample of 1540 adults, “Do you happen to jog?” Suppose that the true proportion of all adults who jog is p = 0.15. a) What is the mean of the sampling distribution of ? b) Find the standard deviation of the sampling distribution of . Check that the 10% condition is met. c) Is the sampling distribution of approximately Normal? Justify your answer. d) Find the probability that between 13% and 17% of a random sample of 1540 adults are joggers.
The Gallup Poll once asked a random sample of 1540 adults, “Do you happen to jog?” Suppose that the true proportion of all adults who jog is p = 0.15. a) What is the mean of the sampling distribution of ? b) Find the standard deviation of the sampling distribution of . Check that the 10% condition is met. c) Is the sampling distribution of approximately Normal? Justify your answer. d) Find the probability that between 13% and 17% of a random sample of 1540 adults are joggers.
The Gallup Poll once asked a random sample of 1540 adults, “Do you happen to jog?” Suppose that the true proportion of all adults who jog is p = 0.15. a) What is the mean of the sampling distribution of ? b) Find the standard deviation of the sampling distribution of . Check that the 10% condition is met. c) Is the sampling distribution of approximately Normal? Justify your answer. d) Find the probability that between 13% and 17% of a random sample of 1540 adults are joggers.
The Gallup Poll once asked a random sample of 1540 adults, “Do you happen to jog?” Suppose that the true proportion of all adults who jog is p = 0.15. a) What is the mean of the sampling distribution of ? b) Find the standard deviation of the sampling distribution of . Check that the 10% condition is met. c) Is the sampling distribution of approximately Normal? Justify your answer. d) Find the probability that between 13% and 17% of a random sample of 1540 adults are joggers.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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