Answered: Use technology and a t-test to test the…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.1: Ratios

Problem 25WE

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Question

Use technology and a t-test to test the claim about the population mean at the given level of significance a using the given sample statistics. Assume the population is normally distributed

Claim: u > 78; a = 0.01 Sample statistics: × = 79.3, s = 3.6, n = 28

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

O A. Ho: M = 78

H: 4*78

О c. Ha: u₴78

Hai n< 78

OB. H: 4478

H: M=78

O D. H: 4 s78

H: 4>78

What is the value of the standardized test statistic?

The standardized test statistic is__

. (Round to two decimal places as needed.)

What is the P-value of the test statistic?

P-value=__(Round to three decimal places as needed.)

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

What are the null and alternative hypotheses? Choose the correct answer below.
OA. H₂: μ = 78
HA: μ#78
OC. Ho: μ ≥ 78
HA: μ< 78
What is the value of the standardized test statistic?
The standardized test statistic is (Round to two decimal places as needed.)
What is the P-value of the test statistic?
I
6
P-value= (Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
0
OB. H₂: µ#78
HA: μ = 78
MBO
O D. Ho: µ≤78
H: μ > 78

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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