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Concept explainers
Baby weights: According to a recent National Health Statistics Reports: the weight of male babies less than 2 months old in the United States is
- What proportion of babies weigh more than 13 pounds?
- What proportion of babies weigh less than 15 pounds?
- What proportion of babies weigh between 10 and 14 pounds?
- Is it unusual for a baby to weigh more than 17 pounds?
a.
![Check Mark](/static/check-mark.png)
To find: The proportion of baby weighs more than
Answer to Problem 28E
The proportion of baby weigh more than
Explanation of Solution
Given information:The mean is
Formula used:
Here, the mean is
Calculation:
Consider the formula for Z value.
Substitute
From the table of standard normal distribution, for the Z value less than
The proportion of baby weighs more than
Substitute the values in above equation.
Therefore, the proportion of baby weigh more than
b.
![Check Mark](/static/check-mark.png)
To find:The proportion of baby weighs less than
Answer to Problem 28E
The proportion of baby weighs less than
Explanation of Solution
Given information:The mean is
Formula used:
Here, the mean is
Calculation:
Consider the formula for Z value.
Substitute
From the table of standard normal distribution, for the Z value less than
Therefore, the proportion of baby weighs less than
c.
![Check Mark](/static/check-mark.png)
To find: The proportion of baby weighs between
Answer to Problem 28E
The proportion of baby weighs between
Explanation of Solution
Given information:The mean is
Formula used:
Here, the mean is
Calculation:
Consider the formula for Z value.
Substitute
From the table of standard normal distribution, for the Z value less than
Substitute
From the table of standard normal distribution, for the Z value greater than
The proportion of baby weighs between
Substitute the values in above equation.
Therefore, the proportion of baby weighs between
d.
![Check Mark](/static/check-mark.png)
To find:Whether it is unusual for a baby to weigh morethan
Answer to Problem 28E
It is unusual for a baby to weigh more than
Explanation of Solution
Given information:The mean is
Calculation:
The point value of mean is,
Since, the value do not lies in between the interval.
Therefore, it is unusual for a baby to weigh more than
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Chapter 7 Solutions
Elementary Statistics 2nd Edition
- 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
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
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