MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course,
53% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 10 completed the course with a letter
grade of A, B, or C. Is the experimental course effective at the a= 0.05 level of significance? Complete parts (a) through (g).
(a) State the appropriate null and alternative hypotheses.
Ho: p
0.53 versus H1: p
0.53
>
(Type integers or decimals. Do not round.)
(b) Verify that the normal model may not be used to estimate the P-value.
Because npo (1- Po) = 3.7 < 10, the normal model may not be used to approximate the P-value.
(Round to one decimal place as needed.)
(c) Explain why this is a binomial experiment.
There is a
fixed
number of trials with two mutually exclusive outcomes.
The trials
are
independent and the probability of success is fixed at
for each trial.
(Type an integer or a decimal. Do not round.)
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Transcribed Image Text:Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 53% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 10 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a= 0.05 level of significance? Complete parts (a) through (g). (a) State the appropriate null and alternative hypotheses. Ho: p 0.53 versus H1: p 0.53 > (Type integers or decimals. Do not round.) (b) Verify that the normal model may not be used to estimate the P-value. Because npo (1- Po) = 3.7 < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.) (c) Explain why this is a binomial experiment. There is a fixed number of trials with two mutually exclusive outcomes. The trials are independent and the probability of success is fixed at for each trial. (Type an integer or a decimal. Do not round.)
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