SLICE NAMEConfidence Intervals and Hypothesis TestingTOPIC NAMEConfidence interval for the population mean: Use of the t distribution EspañolA certain brokerage house wants to estimate the mean daily return on acertain stock. A random sample of 18 days yields the following returnpercentages.-0.36, 0.35, 2.56, -0.15, 0.37, 2.25, -2.89, 2.05, -0.09, 2.39, -0.65, 2.7, 0.11, 2.64,-0.35, -0.19,-0.82, -2.81Send data to calculator Send data to ExcelIf we assume that the returns are normally distributed, find a 90%confidence interval for the mean daily return on this stock. Give thelower limit and upper limit of the 90% confidence interval.Carry your intermediate computations to at least three decimal places.Round your answers to one decimal place. (If necessary, consult a list offormulas.)Lower limit:Upper limit:x

Given data: Sample size : 18 Confidence level = 90%

Answered: Español A certain brokerage house wants…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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SLICE NAME Confidence Intervals and Hypothesis Testing TOPIC NAME Confidence interval for the population mean: Use of the t distribution

Español
A certain brokerage house wants to estimate the mean daily return on a
certain stock. A random sample of 18 days yields the following return
percentages.
-0.36, 0.35, 2.56, -0.15, 0.37, 2.25, -2.89, 2.05, -0.09, 2.39, -0.65, 2.7, 0.11, 2.64,-0.35, -0.19,
-0.82, -2.81
Send data to calculator Send data to Excel
If we assume that the returns are normally distributed, find a 90%
confidence interval for the mean daily return on this stock. Give the
lower limit and upper limit of the 90% confidence interval.
Carry your intermediate computations to at least three decimal places.
Round your answers to one decimal place. (If necessary, consult a list of
formulas.)
Lower limit:
Upper limit:
x

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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