If appropriate, construct a 99.5% confidence interval for the mean price for all phones of this type being sold on the
Internet in 2013. Round your intermediate step to three decimal places. Round your answer to one decimal place.
Transcribed Image Text:(c) If appropriate, construct a 99.5% confidence interval for the mean price for all phones of this type being sold on the
Internet in 2013. Round your intermediate step to three decimal places. Round your answer to one decimal place.
A 99.5% confidence interval for the mean price for all phones of this type being sold on the
Internet in 2013 is
Transcribed Image Text:How smart is your phone? A random sample of 10 Samsung Galaxy smartphones being sold over the Internet In 2013 had the
following prices, in dollars:
199
169
385
329
269
149
135
249
299
249
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Assume the population standard deviation is o = 85.
Perform the following.
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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