Essential Statistics
2nd Edition
ISBN: 9781259570643
Author: Navidi
Publisher: MCG
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Chapter 4.3, Problem 57E
To determine
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Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether
there is an association between the behavior of the elderly person (did not stop to talk,
did stop to talk) and their likelihood of falling. Below, please state your null and
alternative hypotheses, calculate your expected values and write them in the table,
compute the test statistic, test the null by comparing your test statistic to the critical
value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and
provide your conclusions in written form. Make sure to show your work.
Did not stop walking to talk
Stopped walking to talk
Suffered a fall
12
11
Totals
23
Did not suffer a fall | 2
Totals
35
37
14
46
60
T
Chapter 4 Solutions
Essential Statistics
Ch. 4.1 - 1. In Example 4.4, what is the probability that...Ch. 4.1 - Prob. 2CYUCh. 4.1 - Prob. 3CYUCh. 4.1 - Prob. 4CYUCh. 4.1 - Prob. 5ECh. 4.1 - In Exercises 5–8, fill in each blank with the...Ch. 4.1 - Prob. 7ECh. 4.1 - In Exercises 5–8, fill in each blank with the...Ch. 4.1 - Prob. 9ECh. 4.1 - Prob. 10E
Ch. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - In Exercises 21–24, assume that a coin is tossed...Ch. 4.1 - Prob. 23ECh. 4.1 - In Exercises 21–24, assume that a coin is tossed...Ch. 4.1 - How probable is it? Someone computes the...Ch. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - 30. A coin flip: A fair coin is tossed three...Ch. 4.1 - 31. Empirical Method: A coin is tossed 400 times...Ch. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - 39. Get an education: The General Social Survey...Ch. 4.1 - Prob. 40ECh. 4.1 - 41. Hospital visits: According to the Agency for...Ch. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.2 - Prob. 1CYUCh. 4.2 - Prob. 2CYUCh. 4.2 - Prob. 3CYUCh. 4.2 - Prob. 4CYUCh. 4.2 - Prob. 5ECh. 4.2 - In Exercises 5–8, fill in each blank with the...Ch. 4.2 - In Exercises 5–8, fill in each blank with the...Ch. 4.2 - In Exercises 5–8, fill in each blank with the...Ch. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - 16. If P (A) = 0.7, P (B) = 0.1, and A and B are...Ch. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - 20. If P(B) = 0.6, find P(Bc).
Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - In Exercises 25–30, determine whether events A and...Ch. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - In Exercises 25–30, determine whether events A and...Ch. 4.2 - In Exercises 25–30, determine whether events A and...Ch. 4.2 - In Exercises 31 and 32, find the complements of...Ch. 4.2 - In Exercises 31 and 32, find the complements of...Ch. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - 36. Sick computers: Let V be the event that a...Ch. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - 40. Statistics grades: In a statistics class of 30...Ch. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - 47. Mutual exclusivity is not transitive: Give an...Ch. 4.2 - 48. Complements: Let A and B be events. Express (A...Ch. 4.3 - 1. A person is selected at random from the...Ch. 4.3 - Prob. 2CYUCh. 4.3 - Prob. 3CYUCh. 4.3 - Prob. 4CYUCh. 4.3 - Prob. 5CYUCh. 4.3 - Prob. 6CYUCh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - In Exercises 7–10, fill in each blank with the...Ch. 4.3 - In Exercises 7–10, fill in each blank with the...Ch. 4.3 - Prob. 11ECh. 4.3 - In Exercises 11–14, determine whether the...Ch. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - 18. Let A and B be events with P(A) = 0.5 and P(B)...Ch. 4.3 - 19. Let A and B be events with P (A) = 0.8, P(B) =...Ch. 4.3 - 20. Let A and B be events with P(A) = 0.3, P(B) =...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - In Exercises 27–30, assume that a student is...Ch. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - 32. Let A and B be events with P(A) = 0.6, P(B) =...Ch. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Prob. 36ECh. 4.3 - Job interview: Seven people, named Anna, Bob,...Ch. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - 40. U.S. senators: The following table displays...Ch. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Prob. 45ECh. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Prob. 52ECh. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.4 - When ordering a certain type of computer, there...Ch. 4.4 - Prob. 2CYUCh. 4.4 - Prob. 3CYUCh. 4.4 - Refer to Exercise 3. Two of the committee members...Ch. 4.4 - Prob. 5CYUCh. 4.4 - Refer to Exercise 5. Four of the eight students...Ch. 4.4 - Prob. 7ECh. 4.4 - In Exercises 7 and 8, fill in the blank with the...Ch. 4.4 - Prob. 9ECh. 4.4 - In Exercises 9 and 10, determine whether the...Ch. 4.4 - Prob. 11ECh. 4.4 - In Exercises 11–16, evaluate the factorial. 12. 5!Ch. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - In Exercises 11–16, evaluate the factorial. 16. 3!Ch. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - In Exercises 23–28, evaluate the combination. 24....Ch. 4.4 - Prob. 25ECh. 4.4 - In Exercises 23–28, evaluate the combination. 26....Ch. 4.4 - Prob. 27ECh. 4.4 - In Exercises 23–28, evaluate the combination. 28....Ch. 4.4 - Prob. 29ECh. 4.4 - Books: Josephine has six chemistry books, three...Ch. 4.4 - Prob. 31ECh. 4.4 - 32. Ice cream: A certain ice cream parlor offers...Ch. 4.4 - License plates: In a certain state, license plates...Ch. 4.4 - Committee: The Student Council at a certain school...Ch. 4.4 - Day and night shifts: A company has hired 12 new...Ch. 4.4 - Keep your password safe: A computer password...Ch. 4.4 - It’s in your genes: Human genetic material (DNA)...Ch. 4.4 - Choosing officers: A committee consists of ten...Ch. 4.4 - Prob. 39ECh. 4.4 - Blackjack: In single-deck casino blackjack, the...Ch. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4 - Fill in the blank: The probability that a fair...Ch. 4 - Prob. 2CQCh. 4 - Prob. 3CQCh. 4 - Prob. 4CQCh. 4 - Prob. 5CQCh. 4 - Prob. 6CQCh. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - Prob. 10CQCh. 4 - Prob. 11CQCh. 4 - Prob. 12CQCh. 4 - Prob. 13CQCh. 4 - Prob. 14CQCh. 4 - Prob. 15CQCh. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Blood types: Human blood may contain either or...Ch. 4 - Prob. 5RECh. 4 - Stop that car: A drag racer has two parachutes, a...Ch. 4 - Prob. 7RECh. 4 - Music to my ears: Jeri is listening to the songs...Ch. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Rainy weekend: Sally is planning to go away for...Ch. 4 - Prob. 12RECh. 4 - Required courses: Refer to Exercise 12. Assume the...Ch. 4 - Bookshelf: Bart has six books: a novel, a...Ch. 4 - Bookshelf: Refer to Exercise 14. Bart chooses...Ch. 4 - Prob. 1WAICh. 4 - Prob. 2WAICh. 4 - Prob. 3WAICh. 4 - Prob. 4WAICh. 4 - Prob. 5WAICh. 4 - Prob. 6WAICh. 4 - Describe circumstances under which you would use a...Ch. 4 - Describe circumstances under which you would use a...Ch. 4 - The following table is a life table, reproduced...Ch. 4 - Prob. 2CSCh. 4 - Prob. 3CSCh. 4 - Prob. 4CSCh. 4 - Prob. 5CSCh. 4 - Prob. 6CSCh. 4 - Prob. 7CSCh. 4 - Prob. 8CSCh. 4 - Prob. 9CS
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