The state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through (c) below.Assume the population is normally distributed.143069672962412247307441445987831542941(a) Find the sample mean.© = 910.3 (Round to one decimal place as needed.)(b) Find the sample standard deviation.= 305.1 (Round to one decimal place as needed.)(c) Construct a 99% confidence interval for the population mean y.A 90% contidence interval for the population mean is (_,_)(Round to one decimal place as nocded.)

Answered: The state test scores for 12 randomly…

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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The state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through (c) below.

Assume the population is normally distributed.

1430

696

729

624

1224

730

744

1445

987

831

542

941

(a) Find the sample mean.

(b) Find the sample standard deviation.

= 305.1 (Round to one decimal place as needed.)

A 90% contidence interval for the population mean is (_,_)

(Round to one decimal place as nocded.)

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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