8. Use technology and a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ>74; α=0.01 Sample statistics: x=74.2, s=3.4, n=26 Question content area bottom Part 1 What are the null and alternative hypotheses? Choose the correct answer below. A. H0: μ≥74 HA: μ<74 B. H0: μ≤74 HA: μ>74 This is the correct answer. C. H0: μ≠74 HA: μ=74 Your answer is not correct. D. H0: μ=74 HA: μ≠74 Part 2 What is the value of the standardized test statistic? The standardized test statistic is 0.3 0.3. (Round to two decimal places as needed.) Part 3 What is the P-value of the test statistic? P-value=0.383 0.383 (Round to three decimal places as needed.) Part 4 Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Reject H0. There is enough evidence to support the claim. B. Fail to reject H0. There is enough evidence to support the claim. C. Fail to reject H0. There is not enough evidence to support the claim. D. Reject H0. There is not enough evidence to support 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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Question content area bottom

Part 1

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

H0:

μ≥74

HA:

μ<74

H0:

μ≤74

HA:

μ>74

This is the correct answer.

H0:

μ≠74

HA:

μ=74

Your answer is not correct.

H0:

μ=74

HA:

μ≠74

Part 2

What is the value of the standardized test statistic?

The standardized test statistic is

0.3

0.3.

(Round to two decimal places as needed.)

Part 3

What is the P-value of the test statistic?

P-value=0.383

0.383

(Round to three decimal places as needed.)

Part 4

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

Reject

H0.

There

enough evidence to support the claim.

Fail to reject

H0.

There

enough evidence to support the claim.

Fail to reject

H0.

There

is not

enough evidence to support the claim.

Reject

H0.

There

is not

enough evidence to support 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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