Answered: Form the hypotheses (null and…

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

Form the hypotheses (null and alternative) and identify the claim

Claim: The average in state tuition is more than $9,410

Ho: µ=9410

H_α: µ>9410

State the distribution and test statistic to be used.

Normal distribution and t-test

Sample mean= 9521

Sample Standard Deviation= 2151

Test statistic= 0.206

p-value= 0.42

Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step 1

First we find the sample size;

Given that;

$\bar{x} = 9521 s = 2151 t = 0.206 μ = 9410 [U n d e r n u l l h y p o t h e s i s]$

Using the formula of the test statistic we find the value of the sample size.

$t = \frac{\sqrt{n} (\bar{x} - μ)}{s} \Rightarrow 0.206 = \frac{\sqrt{n} (9521 - 9410)}{2151} \Rightarrow \sqrt{n} = \frac{0.206 \times 2151}{(9521 - 9410)} \Rightarrow \sqrt{n} = 3.99 S q u a r i n g b o t h t h e s i d e s w e g e t; \Rightarrow n = 15.92 \Rightarrow n \approx 16$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

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