Question

In: Math

Students in a seventh-grade class were given an exam. During the next 2 years, the same...

Students in a seventh-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score g can be approximated by the model

g(t) = 81 − 13 log10(t + 1),    0 ≤ t ≤ 24

where t is the time (in months).

(a) What was the average score on the original exam? ???


(b) What was the average score after 6 months? (Round your answer to one decimal place.) ???


(c) When did the average score drop below 70? (Round your answer to the nearest month.)

The average score dropped below 70 after ??? months.

Solutions

Expert Solution

Please UPVOTE if this answer helps you understand better.

Please UPVOTE if this answer helps you understand better.


Related Solutions

14. For a class of 36 students, the standard deviation score of exam 2 is 15....
14. For a class of 36 students, the standard deviation score of exam 2 is 15. a) Find the critical values χ2L and χ2R for the 98% confidence level. b) Create the 98% confidence interval for the population standard deviation of exam scores. Is it possible for the class to have a standard deviation of exam scores 18 by the end of the semester?
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 table below represents 2 attempts that students had to complete the same statistics exam in...
The table below represents 2 attempts that students had to complete the same statistics exam in a course. Student Exam- 1st attempt (%) Exam-2nd attempt (%) 1 59 71 2 64 63 3 86 87 4 74 82 5 83 89 6 52 40 7 57 62 8 38 55 9 31 70 10 74 78 11 70 78 12 64 59 13 40 57 14 55 59 15 70 65 1) The professor believes that, on average, students will...
This data contains information on 78 seventh-grade students. We want to know how well each of...
This data contains information on 78 seventh-grade students. We want to know how well each of IQ score and self-concept score predicts GPA using least-squares regression. We also want to know which of these explanatory variables predicts GPA better. Give numerical measures that answer these questions. (Round your answers to three decimal places.) A. (Regressor: IQ) R 2    B. (Regressor: Self-Concept) R 2    obs gpa iq gender concept 1 7.94 118 2 38 2 8.292 136 2 62...
Sixty students were given a history exam. Their scores are shown below, sorted from smallest to...
Sixty students were given a history exam. Their scores are shown below, sorted from smallest to largest. 21 31 34 34 35 36 37 38 39 40 41 41 41 44 45 45 53 65 72 72 72 72 73 75 75 75 76 76 76 76 76 77 77 78 78 79 79 80 80 80 81 81 82 82 82 83 83 83 83 83 83 83 84 85 86 86 88 88 93 94 1) Compute the...
Brothers and sisters: Thirty students in a first-grade class were asked how many siblings they have....
Brothers and sisters: Thirty students in a first-grade class were asked how many siblings they have. Following are the results. 1 1 2 1 2 3 7 1 1 5 1 1 3 0 1 1 1 2 5 0 0 1 2 2 4 2 2 3 3 4 a. Construct a frequency histogram. b. Construct a relative frequency histogram. c. Are the histograms skewed to the left, skewed to the right, or approximately symmetric?
In a class of 25 students the average grade on a quiz is 16.85, with a...
In a class of 25 students the average grade on a quiz is 16.85, with a sample standard deviation of 4.75. The grades are known to be normally distributed. a. Determine the standard error of the mean. b. Determine the 98% confidence interval for the class grades. c. If you wanted a narrower interval, would you increase or decrease the confidence level?
The final exam grade of a mathematics class has a normal distribution with mean of 81...
The final exam grade of a mathematics class has a normal distribution with mean of 81 and standard deviation of 6.6. If a random sample of 40 students selected from this class, then what is the probability that the average final exam grade of this sample is between 77 and 82? Answer: (keep 4 decimal places)
1. Professor Heinz has given the same multiple-choice final exam in his Principles of Microeconomics class...
1. Professor Heinz has given the same multiple-choice final exam in his Principles of Microeconomics class for many years. After examining his records from the past 10 years, he finds that the scores have a mean of 69 and a standard deviation of 19. Use an appropriate normal transformation to Calculate the probability that a class of 36 students will have an average greater than 60 on Professor Heinz's final exam. 2. Professor Heinz has given the same multiple-choice final...
Suppose many classes took the same psychology exam and the average individual grade on the psychology...
Suppose many classes took the same psychology exam and the average individual grade on the psychology exam is 70% (with a standard deviation of 10.4%). How much less likely is it to find a class (n=17) with an average on the psychology exam to be 75% than a single person with an average of 75% on the psychology exam?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT