You measure 20 dogs weights and find they have a mean weight of 48 pounds. Assume the population standard deviation is 11.4 pounds. Find a margin of error associated with a 90% confidence interval for the true population mean dog weight. Standard actrue population mean dog weight.Give your answer as a decimal, to two places.(a) This is a problem about a Cl for apopulation meanO population proportion(b) and I am being asked to compute theconfidence intervalOstandard errorOmargin of errorOpoint estimate(c) So the formula I will use isσMoE multiplier *√np (1-p)MoE multiplier *n(d) Since this is 90% CI, I will use a multiplier of1.6471.962.5760(e) to get a margin of error ofpounds

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Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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You measure 20 dogs weights and find they have a mean weight of 48 pounds. Assume the population standard deviation is 11.4 pounds. Find a margin of error associated with a 90% confidence interval for the true population mean dog weight.

Standard ac
true population mean dog weight.
Give your answer as a decimal, to two places.
(a) This is a problem about a Cl for a
population mean
O population proportion
(b) and I am being asked to compute the
confidence interval
Ostandard error
Omargin of error
Opoint estimate
(c) So the formula I will use is
σ
MoE multiplier *
√n
p (1-p)
MoE multiplier *
n
(d) Since this is 90% CI, I will use a multiplier of
1.647
1.96
2.576
0
(e) to get a margin of error of
pounds

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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