Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 7.3, Problem 1AYU
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To fill: The blank space in the statement “A _______ _________ ______ is a graph that plots observed data versus normal scores.”
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Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Chapter 7 Solutions
Statistics: Informed Decisions Using Data (5th Edition)
Ch. 7.1 - 1. A ______ _____ ______ is an equation used to...Ch. 7.1 - Prob. 2AYUCh. 7.1 - Prob. 3AYUCh. 7.1 - Prob. 4AYUCh. 7.1 - 5. The points at x = ________ and x = ________ are...Ch. 7.1 - 6. The area under a normal curve can be...Ch. 7.1 - For Problems 7–12, determine whether the graph can...Ch. 7.1 - For Problems 7–12, determine whether the graph can...Ch. 7.1 - For Problems 7–12, determine whether the graph can...Ch. 7.1 - Prob. 10AYU
Ch. 7.1 - For Problems 7–12, determine whether the graph can...Ch. 7.1 - For Problems 7–12, determine whether the graph can...Ch. 7.1 - Problems 13–16 use the information presented in...Ch. 7.1 - Prob. 14AYUCh. 7.1 - Prob. 15AYUCh. 7.1 - Prob. 16AYUCh. 7.1 - 17. Uniform Distribution The random-number...Ch. 7.1 - Prob. 18AYUCh. 7.1 - In Problems 19–22, determine whether or not the...Ch. 7.1 - Prob. 20AYUCh. 7.1 - In Problems 19–22, determine whether or not the...Ch. 7.1 - In Problems 19–22, determine whether or not the...Ch. 7.1 - 23. One graph in the figure on the following page...Ch. 7.1 - Prob. 24AYUCh. 7.1 - In Problems 25–28, the graph of a normal curve is...Ch. 7.1 - Prob. 26AYUCh. 7.1 - In Problems 25–28, the graph of a normal curve is...Ch. 7.1 - Prob. 28AYUCh. 7.1 - In Problems 29 and 30, draw a normal curve and...Ch. 7.1 - Prob. 30AYUCh. 7.1 - NW 31. You Explain It! Cell Phone Rates Monthly...Ch. 7.1 - Prob. 32AYUCh. 7.1 - 33. You Explain It! Birth Weights The birth...Ch. 7.1 - Prob. 34AYUCh. 7.1 - NW 35. You Explain It! Gestation Period The...Ch. 7.1 - Prob. 36AYUCh. 7.1 - Prob. 37AYUCh. 7.1 - 38. Heights of Five-Year-Old Females The following...Ch. 7.1 - Prob. 39AYUCh. 7.2 - 1. A random variable Z that is normally...Ch. 7.2 - 2. The notation zα is the z-score such that the...Ch. 7.2 - 3. If X is a normal random variable with mean 40...Ch. 7.2 - Prob. 4AYUCh. 7.2 - In Problems 5–12, find the indicated areas. For...Ch. 7.2 - Prob. 6AYUCh. 7.2 - In Problems 5–12, find the indicated areas. For...Ch. 7.2 - In Problems 5–12, find the indicated areas. For...Ch. 7.2 - In Problems 5–12, find the indicated areas. For...Ch. 7.2 - Prob. 10AYUCh. 7.2 - In Problems 5–12, find the indicated areas. For...Ch. 7.2 - Prob. 12AYUCh. 7.2 - In Problems 13–18, find the indicated z-score. Be...Ch. 7.2 - Prob. 14AYUCh. 7.2 - In Problems 13–18, find the indicated z-score. Be...Ch. 7.2 - In Problems 13–18, find the indicated z-score. Be...Ch. 7.2 - In Problems 13–18, find the indicated z-score. Be...Ch. 7.2 - Prob. 18AYUCh. 7.2 - In Problems 19–22, find the value of zα.
NW 19....Ch. 7.2 - Prob. 20AYUCh. 7.2 - In Problems 19–22, find the value of zα.
21....Ch. 7.2 - Prob. 22AYUCh. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - Prob. 26AYUCh. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - Prob. 28AYUCh. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - Prob. 30AYUCh. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - In Problems 23–32, assume that the random variable...Ch. 7.2 - In Problems 33–36, assume that the random variable...Ch. 7.2 - Prob. 34AYUCh. 7.2 - In Problems 33–36, assume that the random variable...Ch. 7.2 - Prob. 36AYUCh. 7.2 - 37. Egg Incubation Times The mean incubation time...Ch. 7.2 - 38. Reading Rates The reading speed of sixth-grade...Ch. 7.2 - Prob. 39AYUCh. 7.2 - 40. Wendy's Drive-Through Fast-food restaurants...Ch. 7.2 - 41. Gestation Period The lengths of human...Ch. 7.2 - Prob. 42AYUCh. 7.2 - Prob. 43AYUCh. 7.2 - Prob. 44AYUCh. 7.2 - Prob. 45AYUCh. 7.2 - Prob. 46AYUCh. 7.2 - NW 47. Egg Incubation Times The mean incubation...Ch. 7.2 - Prob. 48AYUCh. 7.2 - Prob. 49AYUCh. 7.2 - Prob. 50AYUCh. 7.2 - Prob. 51AYUCh. 7.2 - Prob. 52AYUCh. 7.2 - 53. Give three interpretations for the area under...Ch. 7.2 - Prob. 54AYUCh. 7.2 - Prob. 55AYUCh. 7.2 - Prob. 56AYUCh. 7.3 - 1. A _______ _________ ______ is a graph that...Ch. 7.3 - Prob. 2AYUCh. 7.3 - In Problems 3–6, use the results in the table to...Ch. 7.3 - Prob. 4AYUCh. 7.3 - Prob. 5AYUCh. 7.3 - Prob. 6AYUCh. 7.3 - In Problems 7–10, use a normal probability plot to...Ch. 7.3 - In Problems 7–10, use a normal probability plot to...Ch. 7.3 - In Problems 7–10, use a normal probability plot to...Ch. 7.3 - In Problems 7–10, use a normal probability plot to...Ch. 7.3 - Prob. 11AYUCh. 7.3 - Prob. 12AYUCh. 7.3 - Prob. 13AYUCh. 7.4 - 1. In a binomial experiment with n trials and...Ch. 7.4 - 2. When adding or subtracting 0.5 from x, we are...Ch. 7.4 - Prob. 3AYUCh. 7.4 - Prob. 4AYUCh. 7.4 - Prob. 5AYUCh. 7.4 - Prob. 6AYUCh. 7.4 - Prob. 7AYUCh. 7.4 - Prob. 8AYUCh. 7.4 - In Problems 5–14, a discrete random variable is...Ch. 7.4 - Prob. 10AYUCh. 7.4 - Prob. 11AYUCh. 7.4 - Prob. 12AYUCh. 7.4 - Prob. 13AYUCh. 7.4 - Prob. 14AYUCh. 7.4 - Prob. 15AYUCh. 7.4 - Prob. 16AYUCh. 7.4 - Prob. 17AYUCh. 7.4 - Prob. 18AYUCh. 7.4 - In Problems 15–20, compute P(x) using the binomial...Ch. 7.4 - Prob. 20AYUCh. 7.4 - 21. On-Time Flights According to American...Ch. 7.4 - Prob. 22AYUCh. 7.4 - Prob. 23AYUCh. 7.4 - Prob. 24AYUCh. 7.4 - Prob. 25AYUCh. 7.4 - 26. Females Living at Home According to the...Ch. 7.4 - Prob. 27AYUCh. 7.4 - Prob. 28AYUCh. 7 - Prob. 1RECh. 7 - In Problems 2 and 3, draw a standard normal curve...Ch. 7 - In Problems 2 and 3, draw a standard normal curve...Ch. 7 - 4. Find the z-score such that the area to the...Ch. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - In Problems 7–9, draw the normal curve with the...Ch. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 1CSCh. 7 - Prob. 2CS
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- Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include: Mileage (mpg) Number of Cylinders (cyl) Displacement (disp) Horsepower (hp) Research: Google to understand these variables. Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp Mean Median First Quartile (Q1) Second Quartile (Q2) Third Quartile (Q3) Fourth Quartile (Q4) 10th Percentile 70th Percentile Skewness Kurtosis Document Your Results: In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command” In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…arrow_forward2 (VaR and ES) Suppose X1 are independent. Prove that ~ Unif[-0.5, 0.5] and X2 VaRa (X1X2) < VaRa(X1) + VaRa (X2). ~ Unif[-0.5, 0.5]arrow_forward8 (Correlation and Diversification) Assume we have two stocks, A and B, show that a particular combination of the two stocks produce a risk-free portfolio when the correlation between the return of A and B is -1.arrow_forward
- 9 (Portfolio allocation) Suppose R₁ and R2 are returns of 2 assets and with expected return and variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find −∞ ≤ w ≤ ∞ such that the portfolio wR₁ + (1 - w) R₂ has the smallest risk.arrow_forward7 (Multivariate random variable) Suppose X, €1, €2, €3 are IID N(0, 1) and Y2 Y₁ = 0.2 0.8X + €1, Y₂ = 0.3 +0.7X+ €2, Y3 = 0.2 + 0.9X + €3. = (In models like this, X is called the common factors of Y₁, Y₂, Y3.) Y = (Y1, Y2, Y3). (a) Find E(Y) and cov(Y). (b) What can you observe from cov(Y). Writearrow_forward1 (VaR and ES) Suppose X ~ f(x) with 1+x, if 0> x > −1 f(x) = 1−x if 1 x > 0 Find VaRo.05 (X) and ES0.05 (X).arrow_forward
- Joy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways arrow_forwardSolve for X. Explain each step. 2^2x • 2^-4=8arrow_forwardOne hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table. Female (F) Male (F′) Total College degree (D) 30 20 50 No college degree (D′) 30 20 50 Total 60 40 100 If a person is selected at random from those surveyed, find the probability of each of the following events.1. The person is female or has a college degree. Answer: equation editor Equation Editor 2. The person is male or does not have a college degree. Answer: equation editor Equation Editor 3. The person is female or does not have a college degree.arrow_forward
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