5A certain college randomly selected 30 freshman students who completed college algebra during their first semester. Fifteen students were chosen from students who took the course at night and 15 students were chosen from students who took the course during the day. The following statistical information was calculated from their final grades.    Day   NightMean 76 68Median 68 72Mode 64 72Range 38 53Based on these samples, what generalization can be made? (Assume that a score of 70 or greater is a passing score.) A. The median score for the day students was higher than the median score for the night students. B. The range of scores was larger for the day students than for the night students. C. The mean score for the night students was higher than the mean score for the day students. D. The mean score for the day students was higher than the mean score for the night students.

A basketball team plays half of its games during the day and half at night. Ten scores from day games and ten scores from night games were randomly selected by the team's statistician. The following statistical information was calculated from the final game scores.    Day   NightMean 58 72Median 46 63Mode 50 70Range 21 33Based on these samples, what generalization can be made? A. The basketball team scored more points in night games than in day games. B. The basketball team scored more points in day games than in night games. C. The basketball team scored the same number of points in day games as night games. D. Not enough information is provided to draw any of these conclusions.

A university's mathematics department has designed an extension program to encouragenew undergraduate students to pursue careers in mathematics. The program consists ofadditional advanced classes that focus on the various applications of mathematics indifferent industries. To determine which students will be invited to this extensionprogram, new undergraduate mathematics students are all required to take an'entrance" exam. Any student that scores higher than 80 on the exam will be invited tothe extension program. Suppose that scores in this entrance exam are normallydistributed with mean 61 and variance 256. Assume that scores are independent fromstudent to student.in a random sample of 12 new undergraduate mathematics students who took theentrance exam, find the probability that more than 2 will be invited to the extensionprogram.

The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is: (approx.)?

The test scores of the students in four classes are summarized below. Answer the questions about them.Class A: The range of scores is 43 and the mean score is 105.Class B: The range of scores is 36 and the mean score is 106.Class C: The range of scores is 38 and the mean score is 109.Class D: The range of scores is 39 and the mean score is 100.(a) Based on the information above, which class's scores have the most variability?Class AClass BClass CClass D(b) Based on the information above, which class has the highest scores on average?Class AClass BClass CClass D

A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 5.50. A sample of 37 honors students is taken and is found to have a mean GPA equal to 5.60. The population standard deviation is assumed to equal 0.40. The parameter to be tested is __________