Answered: A researcher wishes to estimate within…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

A researcher wishes to estimate within $250 the mean amount of money a county spends on road repairs each year. The population standard deviation is known to be $860. How large a sample is necessary if she wants to be 87% confident?

**Transcription for Educational Use:**

---

**Express as a decimal rounded to two decimal places**

Select an answer ▼ = □

---

**Express as a decimal rounded to two decimal places**

**Margin of Error:** E ▼ = □

---

**Express as a decimal rounded to two decimal places**

Select an answer ▼ = □

---

A researcher wishes to estimate within $250 the mean amount of money a county spends on road repairs each year. The population standard deviation is known to be $860. How large a sample is necessary if she wants to be 87% confident? (round to the next number)

Select an answer ▼ = □

---

**Complete the sentence below. (Write your numbers from least to greatest)**

To be _87_% confident and to be within _$250_, the _population mean_ needs to be at least _□_.

---

Note: The text includes dropdown menus for selecting answers and input boxes for filling in numerical responses.

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 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions