Answered: Claim: The mean IQ score of statistics…

Name: For the following claim, find the null and alternative hypotheses, t
Uploaded: 2024-03-20T07:07:12.000Z
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Description: For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Claim: The mean IQ score of s

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population.

Claim: The mean IQ score of statistics professors is less than 122.

Sample data:

n=21,

x=120,

s=14.

The significance level is

α=0.05.

1. Determine the test statistic t.

t= ____

(Round to three decimal places as needed.)

2. Find the critical value using a t-distribution table.

The critical value is ____

(Round to three decimal places as needed.)

3. What is the conclusion?

A. Fail to reject the null hypothesis and do not support

the claim tha μ>130.

B. Reject the null hypothesis and do not support the claim that

μ>130.

C. Reject the null hypothesis and support the claim that μ>130.

D. Fail to reject the null hypothesis and support the claim that

μ>130.

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.

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