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 equals51 comma 600 ; alpha equals0.10 Sample statistics: x overbar equals51 comma 731 , sequals 2400 , nequals 20 LOADING... Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. A. H0: mu greater than or equals51 comma 600 Ha: mu less than51 comma 600 B. H0: mu equals51 comma 600 Ha: mu not equals51 comma 600 C. H0: mu not equals51 comma 600 Ha: mu equals51 comma 600 D. H0: mu less than or equals51 comma 600 Ha: mu greater than51 comma 600 What is the value of the standardized test statistic? The standardized test statistic is nothing . (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) nothing . (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. A. Reject Upper H 0 . There is not enough evidence to reject the claim. B. Reject Upper H 0 . There is enough evidence to reject the claim. C. Fail to reject Upper H 0 . There is not enough evidence to reject the claim. D. Fail to reject Upper H 0 . There is 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:

equals51 comma 600

;

alpha

equals0.10

Sample statistics:

x overbar

equals51 comma 731

sequals

2400

nequals

Click the icon to view the t-distribution table.

What are the null and alternative hypotheses? Choose the correct answer below.

H0:

greater than or equals51 comma 600

Ha:

less than51 comma 600

H0:

equals51 comma 600

Ha:

not equals51 comma 600

H0:

not equals51 comma 600

Ha:

equals51 comma 600

H0:

less than or equals51 comma 600

Ha:

greater than51 comma 600

What is the value of the standardized test statistic?

The standardized test statistic is

nothing

(Round to two decimal places as needed.)

What is(are) the critical value(s)?

The critical value(s) is(are)

nothing

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

Decide whether to reject or fail to reject the null hypothesis.

Reject

Upper H 0

There

is not

enough evidence to reject the claim.

Reject

Upper H 0

There

enough evidence to reject the claim.

Fail to reject

Upper H 0

There

is not

enough evidence to reject the claim.

Fail to reject

Upper H 0

There

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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