Use a t-test to test the claim about the population mean mu at the given level of significance alpha using the given sample statistics. Assume the population is normally distributed. Claim: mu greater than or equals8300 ; alpha equals0.10 Sample statistics: x overbar equals8000 , sequals 460 , nequals 23 What are the null and alternative hypotheses? A. H0: mu equals8300 Ha: mu not equals8300 B. H0: mu greater than or equals8300 Ha: mu less than8300 C. H0: mu less than or equals8300 Ha: mu greater than8300 D. H0: mu not equals8300 Ha: mu equals8300 What is the value of the standardized test statistic? The standardized test statistic is nothing . (Round to two decimal places as needed.) What is the P-value? Pequals nothing (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Reject Upper H 0 . At the 10 % level of significance, there is enough evidence to reject the claim. B. Fail to reject Upper H 0 . At the 10 % level of significance, there is enough evidence to reject the claim. C. Reject Upper H 0 . At the 10 % level of significance, there is not enough evidence to reject the claim. D. Fail to reject Upper H 0 . At the 10 % level of significance, there is not enough evidence to reject the 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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Use a t-test to test the claim about the population mean

at the given level of significance

alpha

using the given sample statistics. Assume the population is normally distributed.

Claim:

greater than or equals8300

;

alpha

equals0.10

Sample statistics:

x overbar

equals8000

sequals

460

nequals

What are the null and alternative hypotheses?

H0:

equals8300

Ha:

not equals8300

H0:

greater than or equals8300

Ha:

less than8300

H0:

less than or equals8300

Ha:

greater than8300

H0:

not equals8300

Ha:

equals8300

What is the value of the standardized test statistic?

The standardized test statistic is

nothing

(Round to two decimal places as needed.)

What is the P-value?

Pequals

nothing

(Round to three decimal places as needed.)

Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.

Reject

Upper H 0

At the

level of significance, there

enough evidence to reject the claim.

Fail to reject

Upper H 0

At the

level of significance, there

enough evidence to reject the claim.

Reject

Upper H 0

At the

level of significance, there

is not

enough evidence to reject the claim.

Fail to reject

Upper H 0

At the

level of significance, there

is not

enough evidence to reject the claim.

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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