A statistics professor claims that the average score on the Final Exam was 83. A group...

A statistics professor claims that the average score on the Final Exam was 83. A group of students believes that the average grade was lower than that. They wish to test the professor's claim at the α=0.05α=0.05 level of significance. (Round your results to three decimal places)

Which would be correct hypotheses for this test?

H0:μ=83H0:μ=83, H1:μ≠83H1:μ≠83
H0:μ≠83H0:μ≠83, H1:μ=83H1:μ=83
H0:μ=83H0:μ=83, H1:μ>83H1:μ>83
H0:μ=83H0:μ=83, H1:μ<83H1:μ<83
H0:μ<83H0:μ<83, H1:μ=83H1:μ=83

A random sample of statistics students had the Final Exam scores shown below. Assuming that the test scores are normally distributed, use this sample to find the test statistic:

Final Exam scores

97	82	102	77
54	94	80	92
98	83	67	85
87	88	53	55

test statistic:

Give the P-value:

Which is the correct result:

Reject the Null Hypothesis
Do not Reject the Null Hypothesis

Which would be the appropriate conclusion?

There is not significant evidence to suggest that the average Final Exam score was less than 83
There is significant evidence to suggest that the average Final exam score was less than 83

Expert Solution

orchestra answered 1 year ago

The average final exam score for the statistics course is 76%. A professor wants to see...

The average final exam score for the statistics course is 76%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is higher. The final exam scores for the 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 86, 97, 69, 93, 85, 88, 99, 67, 91, 85, 73, 66, 100, 90, 71,...

The average final exam score for the statistics course is 74%. A professor wants to see...

The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 79, 60, 52, 72, 67, 47, 54, 79, 61, 80, 80, 47 What can be...

The average final exam score for the statistics course is 78%. A professor wants to see...

The average final exam score for the statistics course is 78%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 81, 61, 81, 91, 84, 56, 64, 74, 79, 63, 82 What can be concluded...

The students scored an average final exam score of 83 with a standard deviation of 2....

The students scored an average final exam score of 83 with a standard deviation of 2. Assume that the scores are approximated by a normal distribution. What percent of students scored higher than an 86 on the final exam? What percent of students scored less than a 79 on the final exam? What percent of students scored between 79 and 86? What happens when you try to find the percent of students that scored less than 60?

Do men score lower on average compared to women on their statistics finals? Final exam scores...

Do men score lower on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and thirteen randomly selected female statistics students are shown below. Male: 81 75 93 62 90 56 66 64 72 71 74 81 Female: 85 77 71 83 91 99 97 65 79 69 92 99 99 Assume both follow a Normal distribution. What can be concluded at the the αα = 0.10 level of significance level of significance?...

A professor of a introductory statistics class has stated that, historically, the distribution of final exam...

A professor of a introductory statistics class has stated that, historically, the distribution of final exam grades in the course resemble a normal distribution with a mean final exam mark of 60% and a standard deviation of 9%. (a) What is the probability that a randomly chosen final exam mark in this course will be at least 75%? (b) In order to pass this course, a student must have a final exam mark of at least 50%. What proportion of...

Professor Nord stated that the mean score on the final exam from all the years he...

Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. If p = 0.29 What is the mean score of the population?...

A group students take a Statistics Exam where the average was M = 77 and the...

A group students take a Statistics Exam where the average was M = 77 and the standard deviation was SD=4. If a student scored a 70 on the exam, what percentage of students scored ABOVE her?

for a final exam in statistics , the mean of the exam scores is u= 75...

for a final exam in statistics , the mean of the exam scores is u= 75 with a standard deviation of o=8. what sample mean marks the top 10% of this distribution for a samples of n= 25 b) what sample means mark the boundaries of the middle 50% for samples of n= 50

The average exam score for students enrolled in statistics classes at Indiana University Northwest is 80...

The average exam score for students enrolled in statistics classes at Indiana University Northwest is 80 and grades are normally distributed. A professor decides to select a random sample of 25 students from his CJ statistics class to see how CJ students compare to the student body in terms of exam performance. The average exam score of this sample is 78 with a variance equal to 100. Are the stats exam scores of the students in the CJ class significantly...

Question