University of Kansas Ch 1 Chebyshevs Theorem Questions Response Attached is the homework assignments, please check it out and let me know if you can help.
University of Kansas Ch 1 Chebyshevs Theorem Questions Response Attached is the homework assignments, please check it out and let me know if you can help. Determine the following statements are True (T) or False (F):
15. In a dataset, the mode will not always be unique.
A) T B) F
16. The range of a data set is the difference between the highest value and the lowest value. A)T B) F
17. A single, extremely large value can affect the mean more than the median. A) T BF
18. The variance of a data set is the square root of the standard deviation.
A)T B) F
19. Chebyshev’s theorem can be used to find the maximum percentage of the values
in a data set that will fall within a certain distance of the mean.
A) T B) F
20. The coefficient of determination for a data set is the mean divided by the standard deviation,
expressed as a percentage.
A) T B)F
21. Which of the following is the properly rounded mean for the given data? 7, 8, 13, 9, 10, 11, 9.7
A) 9 B) 9.67 C) 10
D) 9.7
For the data sequence: 25, 26, 40, 36, 23, 40, 35, 24, 30, 31
22. Find the mean:
A) 31.0
B) 31.1 C) 31.2 D) 31.3 E) 31.4
23. Find the Median: A) 32.5
B) 30.5
C) 23.5
D) 31.5
E) 40.5
24. Find the Mode:
A) 32
B) 23
C) 30
D) 40
E) 31
25. Find the Midrange: A) 30.5
B) 31.5
C) 32.5
D) 33
E) 34.5
A random sample of 30 receipts for individuals shopping at the Community Drug Store showed the sample
mean to be X = $28.19 with sample standard deviation s = $4.06.
26. Compute the coefficient of variation for these data.
(a) 6.94% (b) 14.4% (c) 694% (d) 4.32% (e) 0.48%
27. Use Chevyshev’s theorem to find the smallest interval centered on the mean in which we can expect at
least 75% of the data to fall.
(a) 16.01 to 40.37 (b) 24.13 to 28.19 (c) 20.07 to 36.31
(d) 11.95 to 44.43 (e) 24.13 to 32.25
1)
1) The average weekly earnings in dollars for various industries are listed below. Find the
percentile rank of 714.
804, 714, 644, 739, 676, 781, 845, 599, 899, 932
A) 25th
B) 45th
C) 40th
D) 35th
2)
2) A fair die is rolled three times. What is the probability that it comes up 5 at least once?
A) 0.4213
B) 0.1667
C) 0.8333
D) 0.3056
3)
3) If P(A) = 0.76, P(B) = 0.74, and P(A and B) = 0.55, find P(A or B).
A) 0.55
B) 0.95
C) 0.275
D) 0.75
4)
4) A single card is drawn from a deck. Find the probability of selecting a heart or a Q.
7
17
4
A)
B)
D)
52
52
13
C c)
14
5)
5) In the Happy Hilltop Health Home, 10% of the residents play shuffleboard, 35% of the
residents play poker, and 25% of the residents garden. If 5% of the residents play poker
and garden, find the probability that a resident plays poker, given that they also garden.
A) 7.7%
B) 6.7%
C) 20.0%
D) 14.3%
6)
6) An unfair coin has a probability 0.55 of landing heads. The coin is tossed four times.
What is the probability that it lands heads at least once?
A) 0.8336
B) 0.959
C) 0.25
D) 0.9085
7)
7) The percentile corresponding to a given data value X is computed by subtracting 0.5 to
number of values less than X then dividing by the total number of values in the data set.
A) True
B) False
8)
8) If two dice are rolled one time, find the probability of getting a sum of 7.
7
5
A)
B)
C)
D)
36
12
36
9)
9) Let A and B be events with P(A) = 0.6, P(B) = 0.2, P(A or B)=0.68, Assume that A and
B are independent. Find P(A and B).
A) 0.12
B) 0.6
C) 0.2
D) 0.33
10)
10) How many different ways can four people: Andy, Betty, Cindy, and Doug, sit in a row
at the opera if Cindy and Betty must sit together?
A) 6
B) 24
C) 12
D) 18
11)
11) According to popular belief, 80% of adults enjoy drinking beer. Choose a group of 3
adults at random. The probability that all of them enjoy drinking beer is:
A) 2.400
B) 0.267
C) 0.333
D) 0.512
12)
12) If P(A) = 0.39, P(B) = 0.21, and A and B are mutually exclusive, find P(A or B).
A) 0.3
B) 0.61
C) 0.6
D) 0.18
13) Indicate which student has the higher z score.
13)
S=
Art Major
X= 36 X = 50.5
s = 5.2
Theater Major X= 71.5 X = 75.1 = 7.3
A) Neither student received a positive score; therefore, the higher score cannot be
determined.
B) The art major has a higher score than the theater major.
C) Both students have the same score.
D) The theater major has a higher score than the art major.
14)
14) A certain system has two components. There are 16 different models of the first
component and 5 different models of the second. Any first component can be paired
with any second component. A salesman must select 2 of the first component and 3 of
the second to take on a sales call. How many different sets of components can the
salesman take?
A) 16P2 · 5P3 B) 2C16: 3C5 C) 16C2 : 5P3 D) 16C2 · 5C3
28. If one card is drawn from an ordinary deck of cards, what is the probability that the card will an ace of
diamonds, a king of hearts, or a spade?
A) 19/52 B) 17/52
C) 9/26 D) 15/52 E) 11/26
29. A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit
hours: 4, 5, 1, 4, 4. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C
= 2, D = 1, and F = 0. Compute the grade point average (GPA).
Course Grade
Units
B
4
B
5
Type
Math 10
Biology
Physics
Chemistry
English
A
1
С
4
D
4
A) 9.00
B) 2.39
C) 3.46
D) 1.37
E) 2.42
30. Find the variance for the given data. Round your answer to one more decimal place than the original data.
7 7 2 5 3
A) 11.8
B) 7.7
C) 7.8
D) 6.2
E) 5.2
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