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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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
Transcribed Image Text: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
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