9. Assume that the heights of a population of adults form a normal distribution with a mean p =69 inches and a standard deviation o =6 inches. A village is known to have tall people. A researcher randomly selects a group of 25 people from this village, and their average height is 5 feet 11 inches. Is the average height of people from this village more than 69 inches, assuming a=0.05?|

9. Assume that the heights of a population of adults form a normal distribution with a mean p =69 inches and a standard deviation o =6 inches. A village is known to have tall people. A researcher randomly selects a group of 25 people from this village, and their average height is 5 feet 11 inches. Is the average height of people from this village more than 69 inches, assuming a=0.05?|

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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**Statistical Inference Problems**

**9. Population Height Analysis**

Assume that the heights of a population of adults form a normal distribution with a mean $\mu = 69$ inches and a standard deviation $\sigma = 6$ inches. A village is known to have tall people. A researcher randomly selects a group of 25 people from this village, and their average height is 5 feet 11 inches. Is the average height of people from this village more than 69 inches, assuming $\alpha = 0.05$?

**10. Investigating Village Height Variability**

Assume that the heights of a population of adults form a normal distribution with a mean $\mu = 69$ inches and a standard deviation $\sigma = 6$ inches. A village is known to have tall people. A researcher randomly selects a group of 25 people from this village, and their average height is 5 feet 11 inches. Is the average height of people from this village different than 69 inches, assuming $\alpha = 0.05$?

**11. Car Fuel Efficiency Claims**

A car manufacturer claims that a new model QX has an average fuel efficiency $\mu = 35$ miles per gallon on the highway, and a standard deviation $\sigma = 5$. The American Automobile Association randomly selects 16 new QXs and measures their fuel efficiency at 33 miles per gallon. Is the car manufacturer truthful in advertising QX's fuel efficiency as being 35 miles per gallon, assuming $\alpha = 0.05$?

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These questions involve hypothesis testing to determine if sample data significantly differs from known or claimed population parameters.

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