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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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I need help with a stats problem, section 7.2 and 7.3, please help with TI-84 commands

Test a claim that the mean amount of lead in the air in U.S. cities is less than

0.037

microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of

U.S. cities is

0.039

microgram per cubic meter and the standard deviation is

0.067

microgram per cubic meter. At

α=0.10,

can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.

Identify the claim and state

and

Ha.

H0:	▼ sigma squaredσ2 sigmaσ pp muμ ▼ greater than> less than< equals= greater than or equals≥ not equals≠ less than or equals≤ enter your response here
Ha:	▼ pp sigma squaredσ2 muμ sigmaσ ▼ less than< greater than> equals= greater than or equals≥ not equals≠ less than or equals≤ enter your response here

Ho: (1) ______________ (2) ________________ ( )

Ha: (3)_______________ (4) _______________ ( )

(1) is standard deviation, p, or mean

(2) < ,>, =, greater than or = to

(3) P, standard dev. squared, mean, or standard deviation

(4) <,>,=, greater than or = to, not equal to, less than or = to

The claim is the (5) ____________________ alternative or null hypothesis.

(b) find the critical value(s) and identify the rejection region (s)

The critical value(s) is/are to=__________________

(use a comma to seperate answers as neede, round to 2 decimal places)

graph which show the rejection region

round to 2 decimal places

(d) decide whether to reject or fail to reject the null hypothesis.

(6)_____________ Ho because the standardized test statistic (7) __________________ in the rejection region.

(6)reject or fail to reject (7) is not or is

(e) interpret the decision in the context of the orginal claim.

There (8) ___________________ (is or is not) enough evidence at the ___________ % level of significance to (9) _____________ (support or reject) the claim that the mean amount of lead in the air in U.S. cities is (10) _____________ (equal, not equal, greater than, greater than or equal ) ( ) microgram percubic meter (type integers or decimals, do not round)

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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