Stats
5th Edition
ISBN: 9780135163825
Author: De Veaux, Richard D., Velleman, Paul F., BOCK, David E.
Publisher: Pearson,
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Chapter 15, Problem 8E
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Peggy conducted a study to identify the randomness of rainy days in fall. For 15 days, she recorded whether it rained that day or not. They denoted a rainy day with the letter R, a day without rain with the letter N.
R N N R R N N R R N N R R R R
Test the sequence for randomness. Use .
Consider the grades for the math and history exams for 10 students on a scale from 0 to 12 in the following table.
Student
Math
History
1
4
8
2
5
9
3
7
9
4
12
10
5
10
8
6
8
5
7
9
6
8
9
6
9
11
9
10
7
10
Compute the Spearman correlation coefficient. Round your answer to three decimal places.
To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:
Twin Pair
1
2
3
4
5
6
School A
169
157
115
99
119
113
School B
123
157
112
99
121
122
Twin Pair
7
8
9
10
11
12
School A
120
121
124
145
138
117
School B
153
90
124
140
142
102
Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school…
Chapter 15 Solutions
Stats
Ch. 15.6 - As we noted a few chapters ago, the Pew Research...Ch. 15.6 - As we noted a few chapters ago, the Pew Research...Ch. 15.6 - Prob. 3JCCh. 15.6 - Prob. 4JCCh. 15 - Prob. 1ECh. 15 - Bernoulli 2 Do these situations involve Bernoulli...Ch. 15 - 7. Toasters A manufacturer ships toasters in...Ch. 15 - 8. Soccer A soccer learn estimates that they will...Ch. 15 - 9. Toasters again In a batch of 10,000 toasters,...Ch. 15 - 10. Soccer again If this team has 200 corner kicks...
Ch. 15 - 11. Sell! A car dealership sells an average of 5...Ch. 15 - 12. Passing on A large hospital has an average of...Ch. 15 - Telephone numbers A cable provider wants to...Ch. 15 - Serial numbers In an effort to check the quality...Ch. 15 - Component lifetimes Lifetimes of electronic...Ch. 15 - Website sales Suppose occurrences of sales on a...Ch. 15 - On time A Department of Transportation report...Ch. 15 - Lost luggage A Department of Transportation report...Ch. 15 - Hoops A basketball player has made 80% of his foul...Ch. 15 - Chips Suppose a computer chip manufacturer rejects...Ch. 15 - More hoops For the basketball player in Exercise...Ch. 15 - Chips ahoy For the computer chips described in...Ch. 15 - Customer center operator Raaj works at the...Ch. 15 - Cold calls Justine works for an organization...Ch. 15 - Blood Only 4% of people have Type AB blood.
On...Ch. 15 - Color blindness About 8% of males are color-blind....Ch. 15 - Coins and intuition If you flip a fair coin 100...Ch. 15 - Roulette and intuition An American roulette wheel...Ch. 15 - Lefties Assume that 13% of people are left-handed....Ch. 15 - Arrows An Olympic archer is able to hit the...Ch. 15 - Lefties, redux Consider our group of 5 people from...Ch. 15 - More arrows Consider our archer from Exercise...Ch. 15 - Prob. 33ECh. 15 - Still more arrows Suppose the archer from Exercise...Ch. 15 - Prob. 35ECh. 15 - International students At a certain college, 6% of...Ch. 15 - Prob. 37ECh. 15 - Frogs A wildlife biologist examines frogs for a...Ch. 15 - And more tennis Suppose the tennis player in...Ch. 15 - Prob. 40ECh. 15 - Apples An orchard owner knows that he’ll have to...Ch. 15 - Frogs, part II Based on concerns raised by his...Ch. 15 - Lefties, again A lecture hall has 200 seats with...Ch. 15 - No-shows An airline, believing that 5% of...Ch. 15 - Prob. 45ECh. 15 - Prob. 46ECh. 15 - Prob. 47ECh. 15 - Bank tellers I am the only bank teller on duty at...Ch. 15 - TB Worldwide, tuberculosis is the number-one cause...Ch. 15 - Earthquakes Suppose the probability of a major...Ch. 15 - Prob. 51ECh. 15 - Prob. 52ECh. 15 - Prob. 53ECh. 15 - True-false A true–false test consists of 50...Ch. 15 - Prob. 55ECh. 15 - Prob. 56ECh. 15 - Prob. 57ECh. 15 - Prob. 58ECh. 15 - Prob. 59ECh. 15 - Quality control In an effort to improve the...Ch. 15 - Prob. 61ECh. 15 - Quality control, part 2 The cell phone...
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- A horse trainer teaches horses to jump by using two methods of instruction. Horses being taught by method A have a lead horse that accompanies each jump. Horses being taught by method B have no lead horse. The table shows the number of training sessions required before each horse performed the jumps properly. Method A 25 23 39 29 37 20 Method B 41 21 46 42 24 44 Method A 45 35 27 31 34 49 Method B 26 43 47 32 40 Use a rank-sum test with a5% level of significance to test the claim that there is no difference between the training sessions distributions. If the value of the sample test statistic R, the rank-sum, is 150, calculate the P-value. Round your answer to four decimal places.arrow_forwardA data processing company has a training program for new salespeople. After completing the training program, each trainee is ranked by his or her instructor. After a year of sales, the same class of trainees is again ranked by a company supervisor according to net value of the contracts they have acquired for the company. The results for a random sample of 11 salespeople trained in the last year follow, where x is rank in training class and y is rank in sales after 1 year. Lower ranks mean higher standing in class and higher net sales. Person 1 2 3 4 5 6 x rank 8 11 2 4 5 3 y rank 7 10 1 3 2 4 Person 7 8 9 10 11 x rank 7 9 10 1 6 y rank 8 11 9 6 5 Using a 1% level of significance, test the claim that the relation between x and y is monotone (either increasing or decreasing). Verify that the Spearman rank correlation coefficient . This implies that the P-value lies between 0.002 and 0.01. State…arrow_forwardSand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 34.4 27.1 30.8 28.0 32.2 27.6 32.8 25.2 31.4 33.5 24.7 28.4 Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives ABABABABAABB. Test the sequence for randomness about the median with a 5% level of significance. Verify that the number of runs is 10. What is the upper critical value c2? arrow_forward
- Sand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 34.4 27.1 30.8 28.0 32.2 27.6 32.8 25.2 31.4 33.5 24.7 28.4 Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives ABABABABAABB. Test the sequence for randomness about the median with a 5% level of significance. Verify that the number of runs is 10. What is the upper critical value c2?arrow_forward29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 46 college students are randomly selected, find the probability thata. Exactly 11 of them major in STEM. b. At most 12 of them major in STEM. c. At least 11 of them major in STEM. d. Between 11 and 15 (including 11 and 15) of them major in STEM.arrow_forwardSand and clay studies were conducted at a site in California. Twelve consecutive depths, each about 15 cm deep, were studied and the following percentages of sand in the soil were recorded. 27.3 34.6 30.6 27.8 33.4 31.5 27.3 31.2 32.0 24.7 24.4 28.2 Test this sequence for randomness about the median. Converting this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B denotes a value below the median gives BAABAABAABBB. Verify that the number of runs is 7, the lower critical number is 3, and the upper critical number is 11. Use a 5% level of significance. State the conclusion of the test and interpret your results.arrow_forward
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