Question

In: Statistics and Probability

The undergraduate grade point averages​ (UGPA) of students taking an admissions test in a recent year...

The undergraduate grade point averages​ (UGPA) of students taking an admissions test in a recent year can be approximated by a normal​ distribution, as shown in the figure. ​(a) What is the minimum UGPA that would still place a student in the top 15​% of​ UGPAs? ​(b) Between what two values does the middle 50​% of the UGPAs​lie? mean- 3.28 Standard deviation- 0.17 A normal curve labeled mu = 3.28 and sigma = 0.17 is over a horizontal x-axis labeled Grade point average from 2.56 to 4 in increments of 0.36 and is centered on 3.28. ​(a) The minimum UGPA that would still place a student in the top 15​% of UGPAs is _______ ​(Round to two decimal places as​ needed.) ​(b) The middle 50​% of UGPAs lies between _____ on the low end and ______ on the high end. ​(Round to two decimal places as​ needed.)

Solutions

Expert Solution


Related Solutions

The undergraduate grade point averages​ (UGPA) of students taking an admissions test in a recent year...
The undergraduate grade point averages​ (UGPA) of students taking an admissions test in a recent year can be approximated by a normal​ distribution, as shown in the figure. ​(a) What is the minimum UGPA that would still place a student in the top 15​% of​ UGPAs? ​(b) Between what two values does the middle 50​% of the UGPAs​ lie? mean=3.24 SD=0.21
The undergraduate grade point averages​ (UGPA) of students taking an admissions test in a recent year...
The undergraduate grade point averages​ (UGPA) of students taking an admissions test in a recent year can be approximated by a normal​ distribution, as shown in the figure. ​(a) What is the minimum UGPA that would still place a student in the top 10​% of​ UGPAs? ​(b) Between what two values does the middle 50​% of the UGPAs​ lie? u=3.32, o= 0.16
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with...
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.39. Using the empirical rule, what percentage of the students have grade point averages that are between 1.83 and 3.39?
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with...
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.612.61 and a standard deviation of 0.390.39. Using the empirical rule, what percentage of the students have grade point averages that are between 1.831.83 and 3.393.39?
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with...
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.62 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are at least 1.76? Please do not round your answer.
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with...
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.52 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 1.23 and 3.81?
Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent...
Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows. Undergraduate Major Business Engineering Other Totals Intended Enrollment Full Time 423 394 75 892 Status Part Time 401 594 45 1,040 Totals 824 988 120 1,932 Develop a joint probability table for these data (to 3 decimals). Undergraduate Major Business Engineering Other Totals Intended Enrollment Full-Time Status Part-Time...
Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent...
Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows. Undergraduate Major Business Engineering Other Totals Intended Enrollment Status Full-Time 371 197 251 819 Part-Time 150 161 194 505 Totals 521 358 445 1,324 If required, round your answers to four decimal places. (a) Develop a joint probability table for these data. Undergraduate Major Business Engineering Other Totals...
Below are the grade point averages for 24 randomly chosen university business students during a recent...
Below are the grade point averages for 24 randomly chosen university business students during a recent semester. a) Is there sufficient evidence to indicate that the variances for the four classifications of students are not the same? Assume alpha is 0.05. b) What is the p-value for this problem? Explain its meaning in words. c) Is there sufficient evidence to indicate that the means for the four classifications of students are not the same? Use alpha = 0.05. d) If...
In a recent year, grade 6 Michigan State public school students taking a mathematics assessment test...
In a recent year, grade 6 Michigan State public school students taking a mathematics assessment test had a mean score of 303.1 with a standard deviation of 36. Possible test scores could range from 0 to 1000. Assume that the scores were normally distributed. a)  Find the probability that a student had a score higher than 295. b) Find the probability that a student had a score between 230 and 305. c) What is the highest score that would still place...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT