A home furnishings store that sells bedroom furniture in conducting an end of month inventory of the beds (matteress, bed spring ,and frame) in stock .An auditor for the store wants to estimate the mean  value of the beds  in stock at that time.She wants to have 99% confidence that her estimate of the mean value is correct to within $100.On the basis of past experience,she estimates that the standard deviation of the value of a bed is $200. a.What sample size should she select? b.using the sample size selected in,an audit was conducted ,with the following : Mean=$1,654.27 S=$184,62 Construct a 99% confidence level estimate of the total value of the beds in stock at the end of the month if there were 258 beds in stock.

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 + ...