An online company runs diet bets where customers can pay an amount of money into a pool in order to achieve a diet goal in a certain time-frame. Those who achieve the goal share the pool of money, minus the company's fee. The company records the weights of a random sample of 12 clients who are participating in a particular diet bet. If the sample has a mean weight of 190.0 lb and a standard deviation of 15.0 lb, calculate the margin of error and construct the 98% confidence interval for the true mean weight of the diet bet participants. E= lb Round to one decimal place if necessary lb < μ < lb Round to one decimal place if necessary
An online company runs diet bets where customers can pay an amount of money into a pool in order to achieve a diet goal in a certain time-frame. Those who achieve the goal share the pool of money, minus the company's fee. The company records the weights of a random sample of 12 clients who are participating in a particular diet bet. If the sample has a mean weight of 190.0 lb and a standard deviation of 15.0 lb, calculate the margin of error and construct the 98% confidence interval for the true mean weight of the diet bet participants. E= lb Round to one decimal place if necessary lb < μ < lb Round to one decimal place if necessary
An online company runs diet bets where customers can pay an amount of money into a pool in order to achieve a diet goal in a certain time-frame. Those who achieve the goal share the pool of money, minus the company's fee. The company records the weights of a random sample of 12 clients who are participating in a particular diet bet. If the sample has a mean weight of 190.0 lb and a standard deviation of 15.0 lb, calculate the margin of error and construct the 98% confidence interval for the true mean weight of the diet bet participants. E= lb Round to one decimal place if necessary lb < μ < lb Round to one decimal place if necessary
An online company runs diet bets where customers can pay an amount of money into a pool in order to achieve a diet goal in a certain time-frame. Those who achieve the goal share the pool of money, minus the company's fee. The company records the weights of a random sample of 12 clients who are participating in a particular diet bet. If the sample has a mean weight of 190.0 lb and a standard deviation of 15.0 lb, calculate the margin of error and construct the 98% confidence interval for the true mean weight of the diet bet participants.
E=
lb
Round to one decimal place if necessary
lb
< μ <
lb
Round to one decimal place if necessary
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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