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ninimao ninimao
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6 years ago
Below is the data for the number of days that it took Wyche Accounting to perform audits in the last quarter of last year. 56, 42, 37, 29, 45, 51, 30, 25, 34, 57 What is the median number of days that it took Wyche Accounting to perform audits in the last quarter of last year?
 a. 41
 
  b. 40.6
  c. 39.5
  d. 42

Q. 2

The College Board reported that, in 2014, the mean Math Level 2 SAT subject test score was 686 with a standard deviation of 96 . Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored less than 494.
 a. 97.5
  b. 95
  c. 2.5
 
  d. 5

Q. 3

The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100 . Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored less than 400.
 a. 16
  b. 68
  c. 84
  d. 32

Q. 4

The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100 . Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored greater than 700.
 a. 97.5
  b. 95
  c. 2.5
 
  d. 5

Q. 5

A student willing to participate in a debate competition is required to fill out a registration form. State whether each of the following information about the participant provides categorical or quantitative data.
 a. What is your date of birth?
  b. Have you participated in any debate competition previously?
  c. If yes, in how many debate competitions have you participated so far?
  d. Have you won any of the competitions?
  e. If yes, how many have you won?

Q. 6

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11 . David has a score of 52 on Ms. Bond's test. Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6 . Steven has a score of 52 on Ms. Nash's test. Which student has the higher standardized score?
 a. David's standardized score is -1.64 and Steven's standardized scores -2.00 . Therefore, David has the higher standardized score.
  b. David's standardized score is -1.64 and Steven's standardized scores -2.00 . Therefore, Steven has the higher standardized score.
  c. David's standardized score is 1.64 and Steven's standardized scores 2.00 . Therefore, Steven has the higher standardized score.
  d. Cannot be determined with the information provided.
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wrote...
6 years ago
Ans. #1

c
RATIONALE: The median is the value in the middle when the data are arranged in ascending order (smallest to largest value). Computed as: median = average of middle two values = (37 + 42)/2 = 39.5

Ans. #2

c
RATIONALE: z-score = (494  686)/96 = 2 . Recall that 95 of observations fall within two standard deviations of mean, which means 2.5 of observations fall in each tail. Since we want to know the percentage of students who scored less than 494, we essentially want to know the percentage of observations that fall below 2 standard deviations. 2.5 of observations fall below 2 standard deviations.

Ans. #3

a
RATIONALE: z-score = (400  500)/100 = 1 . Recall that 68 of observations fall within one standard deviation of the mean, so 16 of observations will fall in each tail. The percentage of students who scored less than 400 (below 1 standard deviations) is 16.

Ans. #4

c
RATIONALE: z-score = (700  500)/100 = 2 . Recall that 95 of the observations fall within two standard deviations of the mean, so 2.5 of the observations will fall above 2 standard deviations and 2.5 of observations will fall below 2 standard deviations. 2.5 of students will score greater than 700.

Ans. #5

a. Quantitative
b. Categorical
c. Quantitative
d. Categorical
e. Quantitative

Ans. #6

b
RATIONALE: David's standardized score is (52  70)/11 = 1.64 and Steven's standardized scores is (52  64)/6 = 2.00 . Therefore, David has the higher standardized score.
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