### Testing Hypotheses in Statistics**Country Magazine reports that celebrity MySpace accounts have an average of 4 million friends. Celebologist Chuck Norris believes that this average is actually different. Norris conducts a random sample of 43 celebrities on MySpace and finds an average of 3 million friends. Which is the best set of hypotheses to test Chuck Norris's claim?**To test Chuck Norris's claim statistically, we need to set up our null and alternative hypotheses properly. These hypotheses are statements that can be tested with a statistical test to make inferences about a population parameter based on sample data.#### Null Hypothesis (H₀):The null hypothesis is a statement that there is no effect or no difference, and it is what we typically assume to be true until we have enough evidence to suggest otherwise. In this case, the null hypothesis would state that the average number of friends of celebrities on MySpace is still 4 million.\[ H₀: \mu = 4 \text{ million} \]#### Alternative Hypothesis (H₁):The alternative hypothesis is what we are seeking evidence for. It represents a new effect or a difference from the null hypothesis. Chuck Norris believes the average is different from what Country Magazine reports (not specifying whether he thinks it is more or less). Thus, the alternative hypothesis is non-directional (two-tailed). \[ H₁: \mu \neq 4 \text{ million} \]#### Summary:- **Null Hypothesis (H₀):** The average number of friends of celebrities on MySpace is 4 million. ( \( H₀: \mu = 4 \text{ million} \) )- **Alternative Hypothesis (H₁):** The average number of friends of celebrities on MySpace is not 4 million. ( \( H₁: \mu \neq 4 \text{ million} \) )In conclusion, to test Chuck Norris's claim, we would utilize the sample data he has collected from the 43 celebrities to perform a hypothesis test. This could involve calculating a test statistic (e.g., t-test) and comparing it to a critical value or using a p-value approach to decide whether to reject the null hypothesis. If the null hypothesis is rejected, it would suggest that there is enough statistical evidence to support Chuck Norris's claim that the average number of friends is different from 4 million.

We have given that, Mu = 4 , Xbar = 3 , n =43 . We have to find , Which is the best set of…

Country Magazine reports that celebrity MySpace accounts have an average of 4 million friends. Celebologist Chuck Norris thinks that it's actually different than that. Norris randomly samples 43 celebrities on MySpace and finds an average of 3 million friends. Which is the best set of hypotheses to test Chuck Norris's claim?

Country Magazine reports that celebrity MySpace accounts have an average of 4 million friends. Celebologist Chuck Norris thinks that it's actually different than that. Norris randomly samples 43 celebrities on MySpace and finds an average of 3 million friends. Which is the best set of hypotheses to test Chuck Norris's claim?

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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