Statistical Abstracts (117th edition) reports that the average amount spent annually for food by householders under 25 years of age is $2,690. A random sample of 16 people under 25 years of age who live in a university neighborhood were surveyed. The survey showed that they spent a sample mean amount of $3,220 with sample standard deviation $750. Test the claim that the mean for this neighborhood is different from the national average. Use a 5% significance level. Assume our data is normally distributed State the null and alternate hypotheses. Would you perform a one-tailed or two-tailed test? Why? State the test statistic and p-value for your test. Round your answers to four decimal places. Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α. Interpret your conclusion in the context of this problem

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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Statistical Abstracts (117^th edition) reports that the average amount spent annually for food by householders under 25 years of age is $2,690. A random sample of 16 people under 25 years of age who live in a university neighborhood were surveyed. The survey showed that they spent a sample mean amount of $3,220 with sample standard deviation $750. Test the claim that the mean for this neighborhood is different from the national average. Use a 5% significance level. Assume our data is normally distributed State the null and alternate hypotheses.

Would you perform a one-tailed or two-tailed test? Why?

State the test statistic and p-value for your test. Round your answers to four decimal places. Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α.

Interpret your conclusion in the context of this problem

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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