According to a recent survey, high school girls average 100 text messages daily. Assume the population standard deviation is 20 text messages. Suppose a random sample of 50 high school girls is taken. A. What is the probability the sample mean is more than 105? B. What is the probability that the sample mean is less than 95? C. What is the probability that the sample mean is between 95 and 105?
According to a recent survey, high school girls average 100 text messages daily. Assume the population standard deviation is 20 text messages. Suppose a random sample of 50 high school girls is taken. A. What is the probability the sample mean is more than 105? B. What is the probability that the sample mean is less than 95? C. What is the probability that the sample mean is between 95 and 105?
According to a recent survey, high school girls average 100 text messages daily. Assume the population standard deviation is 20 text messages. Suppose a random sample of 50 high school girls is taken. A. What is the probability the sample mean is more than 105? B. What is the probability that the sample mean is less than 95? C. What is the probability that the sample mean is between 95 and 105?
According to a recent survey, high school girls average 100 text messages daily. Assume the population standard deviation is 20 text messages. Suppose a random sample of 50 high school girls is taken. A. What is the probability the sample mean is more than 105? B. What is the probability that the sample mean is less than 95? C. What is the probability that the sample mean is between 95 and 105?
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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