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 18E
To determine
Check whether the fate of the bags can be considered as Bernoulli trials or not and explain the reason.
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Wind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites the number of such sherds was counted in local dwelling excavations. Test given.
Site I
Site II
Site III
63
19
60
43
34
21
23
49
51
48
11
15
16
46
26
20
31
Find .
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds):
4.46
4.21
4.40
4.81
2.81
2.90
4.93
3.54
4.16
4.48
3.26
4.74
4.97
4.02
4.91
2.59
Use a calculator to verify that the sample variance for this plot is . Another random sample of years for a second plot gave the following annual wheat production (in pounds):
3.89
3.81
3.95
4.07
4.01
3.73
4.02
3.78
3.72
3.96
3.62
3.76
4.02
3.73
3.94
4.03
Use a calculator to verify that the sample variance for this plot is . Suppose that we test the claim using that the population variance of annual wheat production for the first plot is larger…
It is thought that prehistoric Native Americans did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico:
x
5.50
6.00
6.75
7.00
7.75
y
37
38
92
70
99
Find the equation of the least squares line . Round a and b to three decimal places.
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 fitness trainer wants to estimate the effect of fitness activities on muscle mass for different weight categories of club members. They choose the most popular fitness classes at the gym: yoga, circuit training, and high-intensity interval training (HIIT). Suppose that the weights of club members are separated into three levels: under 155 pounds, 155 – 200 pounds, and over 200 pounds. Draw a flow chart showing the design of this experiment.arrow_forwardThe systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals. Descriptive Statistics Variable N Mean Median TrMean StDev SE Mean x 1 15 154.14 154.34 154.14 3.842 0.992000 x 2 15 59.69 60.19 59.69 1.462 0.377487 x 3 15 205.55 204.75 205.55 4.558 1.176871 Variable Minimum Maximum Q1 Q3 x 1 125 178 141.803 167.244 x 2 41 80 47.754 78.415 x 3 126 240 140.395 224.008 Correlations (Pearson) x 1 x 2 x 2 0.892 x 3 0.839 0.567 Regression Analysis The regression equation is x 1 = 0.883 + 1.257x2 + 0.871x3 Predictor Coef StDev T P Constant 0.883 0.635 1.39 0.095 x 2 1.257 0.635 1.98 0.036 x 3 0.871 0.419 2.08 0.030 S = 0.428 R-sq = 92.7 %…arrow_forwardAccording to health professionals, a person’s weight is expected to increase with age. To examine that statement, a nutritionist collected data from 11 random females from different age categories between the ages of 21 and 43. In the following table, x is the age of a person and y is the weight in pounds. x, age 21 24 27 29 31 33 35 38 40 42 43 y, weight in lb 121.4 122.3 130.3 131.7 133.3 134.6 136.7 138.4 140.3 142.0 145.1 Select the correct graph of the least-squares line on a scatter diagram.arrow_forward
- Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 82 69 73 84 74 64 y 42 48 46 46 46 42 Verify that ∑x =446, ∑y =270, ∑x2 =33,442, ∑y2 =12,180, ∑xy =20,070, and r = 0, and find the critical value for a test using a 5% level of significance claiming that ρis not equal than zero. Round your answer to three decimal places.arrow_forwardLet x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 75 72 75 81 74 81 y 46 39 42 47 49 50 Verify that Se ࣈ 3.591,a ࣈ –10.145, bࣈ0.729, and , and find the predicted percentage of successful field goals for a player with x= 88%successful free throws. Round your answer to the nearest tenth of a percentarrow_forwardAn editor wants to analyze if there is a significant difference in the ratings of books in four different genres. Random samples of book ratings were collected for four different genres. The editor recorded ratings in a 0 to 10 scale in the following table. Fiction Novel Biography Science&Technology 8.5 8.4 6.2 9.1 5.3 5.3 5.5 4.3 7.7 4.2 7.0 9.7 5.1 9.8 9.3 5.2 6.9 8.6 6.7 7.9 4.8 7.1 6.9 8.4 Shall we reject or not reject the claim that there are no differences among the population means of book ratings for the different genres? Use.arrow_forward
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