Question
In: Statistics and Probability
Two professors at a local college developed a new teaching curriculum designed to increase students' grades...
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 14 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the alpha equals 0.01 level of significance? Complete parts (a) through (g).
(a) State the appropriate null and alternative hypotheses.
(b) Verify that the normal model may not be used to estimate the P-value.
(c) Explain why this is a binomial experiment
(d) Determine the P-value using the binomial probability distribution. State your conclusion to the hypothesis test.
(e) Suppose the course is taught with 4242 students and 3333 complete the course with a letter grade of A, B, or C. Verify whether the normal model may now be used to estimate the P-value
(f) Use the normal model to obtain and interpret the P-value. State your conclusion to the hypothesis test.
(g) Explain the role that sample size plays in the ability to reject statements in the null hypothesis.
Solutions
orchestra answered 1 year agoRelated Solutions
Two professors at a local college developed a new teaching curriculum designed to increase students' grades...
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, 55% of the students
complete the course with a letter grade of A, B, or C. In the
experimental course, of the 15 students enrolled, 12 completed
the course with a letter grade of A, B, or C. Is the experimental
course effective at the alpha equals 0.025 level of significance?
Complete parts (a) through...
A Pre-School teacher has created a new curriculum for teaching students new words. The new curriculum...
A Pre-School teacher has created a new curriculum for teaching
students new words. The new curriculum is denoted as curriculum A
and the original curriculum is denoted as curriculum B. The teacher
instructs one class under curriculum A and a separate class under
curriculum B. The number of new words each student learns is
recorded and the teacher constructs a confidence interval for:
ua-ub. The 95%
t-confidence interval obtained is (1.26, 4.78).
(i) Based on the confidence interval the teacher...
A professor at a local community college noted that the grades of his students were normally...
A professor at a local community college noted that the grades
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QUESTION 2 You are a new faculty member at a local college. You have heavy teaching...
QUESTION 2
You are a new faculty member at a local college. You have heavy
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interactive techniques in the classroom. You want to go beyond
traditional teaching and encourage students to use higher order
thinking based on the competencies you have developed for the
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Three professors at the University of Macau compared two
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Demographic data collected on these 96 students included year of
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is the population of interest in the study?
Select one:
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Three professors at the University of Macau compared two different approaches to teaching courses in the...
Three professors at the University of Macau compared two
different approaches to teaching courses in the faculty of business
administration. At the time of the study, there were 2,100 students
in the faculty, and 96 students were involved in the study.
Demographic data collected on these 96 students included year of
study (first, second, third, fourth), age, gender, and major. The
demographic variable of year of study is an example of a. none of
the other choices. b. a discrete...
Every semester after course grades are sent out, professors are swamped with emails from students asking...
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Using the Iceberg model, explain if and how systems thinking
might be useful in addressing the wickedness of the problem. (500
words).
How are your grades? In a recent semester at a local university, 300 students enrolled in...
How are your grades? In a recent semester at a local university,
300 students enrolled in both Statistics I and Psychology I. Of
these students, 83 got an A in statistics, 75 got an A in
psychology, and 49 got an A in both statistics and psychology.
Round the answers to four decimal places, as needed.
A) Find the probability that a randomly chosen student got an A
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Two different professors teach an introductory statistics course. The table shows the distribution of final grades...
Two different professors teach an introductory statistics
course. The table shows the distribution of final grades they
reported. We wonder whether one of these professors is an "easier"
grader. Answer parts a) and b) below.
Prof. Alpha Prof. Beta
A 5 10
B 12 12
C 15 8
Below C 13 3
a) Find the expected counts for each cell in this table.
(Round to two decimal places as needed.)
Prof. Alpha Prof. Beta
A (blank) (blank)
B (blank)...
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