In an effort to improve the mathematical skills of 12 students, a teacher provides a weekly 1-hour tutoring session. A pre-test is given before the sessions and a post-test is given after. The results are shown here. Test the claim that there was an increase in the scores. at αα=0.01. You believe that the population is normally distributed, but you do not know the standard deviation. When calculating difference use Post-test minus Pre-test. pre-test post-test 82 83 46 38 42 51 88 78 72 68 99 100 54 60 98 96 80 71 80 83 72 70 57 60 Which of the following are the correct hypotheses? H0:μd≥0H0:μd≥0 HA:μd<0HA:μd<0(claim) H0:μd≤0H0:μd≤0 HA:μd>0HA:μd>0(claim) H0:μd=0H0:μd=0 HA:μd≠0HA:μd≠0(claim) Given that αα is 0.01 the critical value is 2.718 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: reject H0H0 do not reject H0H0 The final conclusion is that: There is enough evidence to reject the claim that there was an increase in the scores. There is not enough evidence to reject the claim that there was an increase in the scores. There is enough evidence to support the claim that there was an increase in the scores. There is not enough evidence to support the claim that there was an increase in the scores.

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Description: In an effort to improve the mathematical skills of 12 students, a teacher provides a weekly 1-hour tutoring session. A pre-test is given before the sessions and a post-test is given after. The results are shown here. Test the claim that there was an

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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In an effort to improve the mathematical skills of 12 students, a teacher provides a weekly 1-hour tutoring session. A pre-test is given before the sessions and a post-test is given after. The results are shown here. Test the claim that there was an increase in the scores. at αα=0.01. You believe that the population is normally distributed, but you do not know the standard deviation. When calculating difference use Post-test minus Pre-test.

pre-test	post-test
82	83
46	38
42	51
88	78
72	68
99	100
54	60
98	96
80	71
80	83
72	70
57	60

Which of the following are the correct hypotheses?

H0:μd≥0H0:μd≥0
HA:μd<0HA:μd<0(claim)
H0:μd≤0H0:μd≤0
HA:μd>0HA:μd>0(claim)
H0:μd=0H0:μd=0
HA:μd≠0HA:μd≠0(claim)

Given that αα is 0.01 the critical value is 2.718

The test statistic is: (round to 3 places)

The p-value is: (round to 3 places)

The decision can be made to:

reject H0H0
do not reject H0H0

The final conclusion is that:

There is enough evidence to reject the claim that there was an increase in the scores.
There is not enough evidence to reject the claim that there was an increase in the scores.
There is enough evidence to support the claim that there was an increase in the scores.
There is not enough evidence to support the claim that there was an increase in the scores.

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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