Quality Learning Support For Better Outcomes
First time here? Checkout the FAQs!
x
MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

0 like 0 dislike
13 views
The Indiana State Police wish to estimate the average mph being traveled on the Interstate Highways, which cross the state. If the estimate is to be within $\pm 5$ mph of the true mean with $95 \%$ confidence and the estimated population standard deviation is $25 \mathrm{mph}$, how large a sample size must be taken?
in Data Science & Statistics by Diamond (78,454 points) | 13 views

1 Answer

0 like 0 dislike
Best answer
\begin{equation}
\begin{aligned}
&\text { 95% CI: } \bar{x} \pm z^{*} \cdot \sigma / \sqrt{n} \\
&\text { margin of error }=z^{*} \cdot \sigma / \sqrt{n} \\
&5=1.96 \times 25 / \sqrt{n} \\
&\qquad \begin{aligned}
5=(1.96 \times 5)^{2} &=96.04 \\
& \approx 97
\end{aligned}
\end{aligned}
\end{equation}
by Diamond (78,454 points)

Related questions

0 like 0 dislike
0 answers

Join the MathsGee community and get study support for success - MathsGee provides answers to subject-specific educational questions for improved outcomes.



On MathsGee Answers, you can:


1. Ask questions
2. Answer questions
3. Comment on Answers
4. Vote on Questions and Answers
5. Donate to your favourite users

Enter your email address:

MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

MathsGee ZOOM | eBook