Answer the following to 4 decimals of accuracy. On an exam, the average score is 76...

Answer the following to 4 decimals of accuracy.
On an exam, the average score is 76 with a standard deviation of 6 points

What is the probability that an individual chosen at random will have a score below 67 on this exam?

What is the probability that an individual chosen at random will have a score above 85 on this exam?

What is the probability that a student will score between 70 and 80 on this exam?

What score does a student need to have in order to be in the top 5% on this exam?

A group of 10 students are selected randomly and their scores are analyzed. What is the probability that the average score in this group is below 74?

Expert Solution

orchestra answered 2 years 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,...

Ms. Gibbs’ 6th period chapter eight exam Student Name Exam Score Robert Johnson 76 LaDavia Abrams...

Ms. Gibbs’ 6th period chapter eight exam Student Name Exam Score Robert Johnson 76 LaDavia Abrams 42 Jacobo Indiano 91 Johnathan Espy 95 Thomas Hartman 43 Stephanie Millerman 56 Alexis Abellan 46 William Press 85 John Mitchell 24 Brian Russell 25 Lisa Owens 60 Josue Alvarado 97 Alice Hsu 71 Raul Barrueco 99 Kathleen Drude 74 William Fritsche 90 Dwight Hare 72 Tommie Walker 92 Yolanda Pollard 68 Frank Bruscato 61 Larry Smith 85 Tonya Lumadue 53 Clifton Webb 81...

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...

2. The average score on an exam is 78. A test is given to 40 students...

2. The average score on an exam is 78. A test is given to 40 students and the average on the exam was 82 with a standard deviation of 14. a) At the .01 level did the students do better than expected? (p = .039) b) How do you explain the 4 point increase? C) Interpret the p-value: D) What is the only type of error that could have occurred

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 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?

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...

Below is a sample score from a Spanish (x) and math (y) exam. Answer: is there...

Below is a sample score from a Spanish (x) and math (y) exam. Answer: is there a statistically significant relationship between these two exams? Spanish Math 70 75 80 80 85 88 74 85 90 95 65 64 82 88 81 83 88 90 76 80 Null hypothesis: alternate hypothesis: critical value to 0.05 critical value to 0.01 correlation coefficient (r) Conclusion

3. In recent years, the results of a particular college entrance exam showed an average score...

3. In recent years, the results of a particular college entrance exam showed an average score of 55 with a standard deviation of 4 points. a. Based on these results, what is the probability that an incoming student scores below a 50? b. What is the probability that a student scores above a 60? c. What is the probability that a student scores between a 53 and a 59? d. What is the probability that a student scores below a...

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...

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