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Essential Statistics
2nd Edition
ISBN: 9781259570643
Author: Navidi
Publisher: MCG
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Chapter 7, Problem 9CQ
To determine
Find the sample that is needed so that a 95% confidence interval will have a margin of error of 0.05 by using the sample proportion for ˆp.
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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.
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.
The 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 %…
Chapter 7 Solutions
Essential Statistics
Ch. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - 10. Using the output in Exercise 9:
Find the...
Ch. 7.1 - Prob. 11CYUCh. 7.1 - 12. The researchers now plan to construct a 99%...Ch. 7.1 - Prob. 13CYUCh. 7.1 - 14. An IQ test is designed to have scores that...Ch. 7.1 - Prob. 15CYUCh. 7.1 - Prob. 16CYUCh. 7.1 - In Exercises 17–20, fill in each blank with the...Ch. 7.1 - In Exercises 17–20, fill in each blank with the...Ch. 7.1 - Prob. 19ECh. 7.1 - In Exercises 17–20, fill in each blank with the...Ch. 7.1 - In Exercises 21–24, determine whether the...Ch. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - In Exercises 25–28, find the critical value zα∕2...Ch. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - In Exercises 29–32, find the levels of the...Ch. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - 36. A sample of size n = 64 is drawn from a...Ch. 7.1 - 37. A sample of size n = 10 is drawn from a normal...Ch. 7.1 - 38. A sample of size n = 80 is drawn from a normal...Ch. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - 43. SAT scores: A college admissions officer takes...Ch. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - 56. Different standard deviations: Martin and...Ch. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - Prob. 64ECh. 7.1 - Interpret computer output: The following MINITAB...Ch. 7.1 - Interpret computer output: The following MINITAB...Ch. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.2 - Prob. 1CYUCh. 7.2 - Prob. 2CYUCh. 7.2 - 3. A potato chip company wants to evaluate the...Ch. 7.2 - Prob. 4CYUCh. 7.2 - Prob. 5CYUCh. 7.2 - Prob. 6CYUCh. 7.2 - Prob. 7ECh. 7.2 - In Exercises 7 and 8, fill in each blank with the...Ch. 7.2 - In Exercises 9 and 10, determine whether the...Ch. 7.2 - In Exercises 9 and 10, determine whether the...Ch. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - 14. A sample of size n = 22 is drawn from a normal...Ch. 7.2 - 15. A sample of size n = 12 is drawn from a normal...Ch. 7.2 - Prob. 16ECh. 7.2 - 17. A sample of size n = 15 has sample mean and...Ch. 7.2 - Prob. 18ECh. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - 23. Fake Twitter followers: Many celebrities and...Ch. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - 26. Sound it out: Phonics is an instructional...Ch. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Baby weights: Following are weights, in pounds, of...Ch. 7.2 - Eat your cereal: Boxes of cereal are labeled as...Ch. 7.2 - Prob. 31ECh. 7.2 - Mortgage rates: Following are interest rates...Ch. 7.2 - Prob. 33ECh. 7.2 - Big salary for the boss: Following is the total...Ch. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Sleeping outlier: A simple random sample of eight...Ch. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Interpret computer output: The following MINITAB...Ch. 7.2 - Prob. 47ECh. 7.3 - A simple random sample of 200 third-graders in a...Ch. 7.3 - Prob. 2CYUCh. 7.3 - A pollster is going to sample a number of voters...Ch. 7.3 - Prob. 4CYUCh. 7.3 - Prob. 5CYUCh. 7.3 - In a simple random sample of 15 seniors from a...Ch. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - In Exercises 11–14, find the point estimate, the...Ch. 7.3 - In Exercises 11–14, find the point estimate, the...Ch. 7.3 - Prob. 13ECh. 7.3 - In Exercises 11–14, find the point estimate, the...Ch. 7.3 - In Exercises 15–18, use the given data to...Ch. 7.3 - In Exercises 15–18, use the given data to...Ch. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Smart phone: Among 238 cell phone owners aged...Ch. 7.3 - Working at home: According to the U.S. Census...Ch. 7.3 - Sleep apnea: Sleep apnea is a disorder in which...Ch. 7.3 - Internet service: An Internet service provider...Ch. 7.3 - Volunteering: The General Social Survey recently...Ch. 7.3 - SAT scores: A college admissions officer sampled...Ch. 7.3 - WOW: In the computer game World of Warcraft, some...Ch. 7.3 - Contaminated water: In a sample of 42 water...Ch. 7.3 - Call me: A sociologist wants to construct a 95%...Ch. 7.3 - Reading proficiency: An educator wants to...Ch. 7.3 - Surgical complications: A medical researcher wants...Ch. 7.3 - Prob. 30ECh. 7.3 - Changing jobs: A sociologist sampled 200 people...Ch. 7.3 - Prob. 32ECh. 7.3 - Small sample: Eighteen concrete blocks were...Ch. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.4 - Prob. 1CYUCh. 7.4 - Prob. 2CYUCh. 7.4 - Prob. 3CYUCh. 7.4 - In Exercises 1–4, state which type of parameter is...Ch. 7.4 - Prob. 5ECh. 7.4 - In Exercises 5–10, state which type of parameter...Ch. 7.4 - In Exercises 5–10, state which type of parameter...Ch. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Credit card debt: In a survey of 1118 U.S. adults...Ch. 7.4 - Pneumonia: In a simple random sample of 1500...Ch. 7.4 - Prob. 16ECh. 7 - Prob. 1CQCh. 7 - Prob. 2CQCh. 7 - Prob. 3CQCh. 7 - Prob. 4CQCh. 7 - Prob. 5CQCh. 7 - Prob. 6CQCh. 7 - Prob. 7CQCh. 7 - Prob. 8CQCh. 7 - Prob. 9CQCh. 7 - Prob. 10CQCh. 7 - Prob. 11CQCh. 7 - Prob. 12CQCh. 7 - Prob. 13CQCh. 7 - Prob. 14CQCh. 7 - Prob. 15CQCh. 7 - Build more parking? A survey is to be conducted in...Ch. 7 - Drill lifetime: A sample of 50 drills had a mean...Ch. 7 - Cost of environmental restoration: In a survey of...Ch. 7 - More repairs: A sample of six records for repairs...Ch. 7 - Automobile pollution: In a random sample of 85...Ch. 7 - Contaminated water: Polychlorinated biphenyls...Ch. 7 - Defective electronics: A simple random sample of...Ch. 7 - Prob. 8RECh. 7 - High octane: Fifty measurements are taken of the...Ch. 7 - Super Bowl: A simple random sample of 140...Ch. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Leaking tanks: Leakage from underground fuel tanks...Ch. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 1WAICh. 7 - What factors can you think of that may affect the...Ch. 7 - Prob. 3WAICh. 7 - Prob. 4WAICh. 7 - Prob. 5WAICh. 7 - When constructing a confidence interval for μ, how...Ch. 7 - Prob. 1CSCh. 7 - Prob. 2CSCh. 7 - Prob. 3CSCh. 7 - Repeat Exercises 1 and 2 for the Year 2 data. The...Ch. 7 - Prob. 5CS
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