Suppose that grade point averages of undergraduate students at come university h

Question

Suppose that grade point averages of undergraduate students at come university have a bell-shaped distribution with a mean of 2.5 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are greater than 3.3? 95% 32% 16% 2.5% 5% Suppose that quiz scores in a beginning statistics class have a mean of 65 with a standard deviation of 5. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 55 and 75? at least 88.9% at least 75% approximately 75% approximately 68% approximately 95% Calculate the five-number summary of the given data (use calculator): 3, 5, 7, 8, 9, 11, 13, 14, 16, 17 3, 5, 10, 13.5, 17 3, 7, 9, 14, 17 3, 7, 10, 14, 17 3, 6, 10, 13, 17 3, 6, 9, 14, 17 Given the following data, find the age that represents the 70th percentile. 62.5 63 61.5 66 48 Three potential employees took an aptitude test. Each person took a different version of the test. Their cores are reported below. Kerri got a score of 80; this version has a mean of 62 and a standard deviation of 11. Cade got a score of 280; this version has a mean of 245 and a standard deviation of 32. Vincent got a score of 7.9; this version has a mean of 7.2 and a standard deviation of 0.5. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job? Cade Kerri Vincent A family has two children; record genders in order of birth. Write out the sample space for the given experiment. Use the letter B to indicate boys and G for girl {B, G} {BB, GG} {BB, BG, GG} {BB, BG, GB, GG} {B, G, BB, GG}

Explanation / Answer

8) Mean = 2.5, SD = 0.4

Thus, number of children above 3.3, that is over 2 SD positive side.

5% people lie away more than 2 SD, Thus, only 2.5% on each side.

Hence, 2.5% over 3.3

9) 1 - 1/k2

where k = SD

WE have 2 Std.Deviations away. Hence, atleast 1 - 1/4 = 3/4 = 75% students lie in between 55 and 75

10)

the five number summary would be

3, 7 , 10, 14, 17

11)

The 70th percentile:

age = 63

12)

Calculate the Z-score for each

Kerri should get the job

13)

The order should be:

{BB, BG,GB,GG}

option D is correct

Hope this helps.

Z-score Kerri 80 62 11 1.636364 Cade 280 245 32 1.09375 Vincent 7.9 7.2 0.5 1.4

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.