Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6.1, Problem 2E
The National Health and Nutrition Examination Survey (NHANES) collects demographic, socioeconomic, dietary, and health-related information on an annual basis. Here is a sample of 20 observations on HDL cholesterol level (mg/dl) obtained from the 2009-2010 survey (HDL is “good” cholesterol; the higher its value, the lower the risk for heart disease):
- a. Calculate a point estimate of the population
mean HDL cholesterol level. - b. Making no assumptions about the shape of the population distribution, calculate a point estimate of the value that separates the largest 50% of HDL levels from the smallest 50%.
- c. Calculate a point estimate of the population standard deviation.
- d. An HDL level of at least 60 is considered desirable as it corresponds to a significantly lower risk of heart disease. Making no assumptions about the shape of the population distribution, estimate the proportion p of the population having an HDL level of at least 60.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
In a particularly small region in the Philippines, the consumer price index C depends on
An agent for a residential real estate company in a suburb located outside a major city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward the goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 8 one-bedroom apartments and the data are shown.
Monthly Rent ($)
925
1,550
800
1,450
1,950
950
1,800
1,300
Size (Square Feet)
800
1,350
1,050
1,100
2,000
650
1,300
950
. Construct a scatter plot. Choose the correct graph below.
A.
02,00002,000Size (sq ft)Rent ($)
A scatter plot has a horizontal axis labeled Size (in square feet) from 0 to 2000 in increments of 400 and a vertical axis labeled Rent ($) from 0 to 2000 in increments of 400. A series of plotted points are clustered around a line that falls from left to right passing through…
The following data set provides infromation on acres harvested and planted by year and value in the US.
Year
ASPARAGUS - ACRES HARVESTED
ASPARAGUS - ACRES PLANTED
2015
21,700
23,500
2014
23,800
25,800
2013
24,500
26,800
2012
25,300
27,800
2011
26,800
28,400
2010
28,000
29,200
2009
29,200
30,700
2008
32,200
33,700
2007
38,600
40,900
2006
43,200
44,700
2005
49,300
51,700
2004
61,500
66,000
2003
58,000
62,000
2002
66,000
70,500
2001
70,150
75,150
2000
77,400
82,800
1999
75,890
79,590
1998
74,430
From the data set, use the planting data for the United States for recent years. Using a calculator or statistical software, find the equation for the linear regression line for 2010 to 2015. What is the pattern of the data set?
Select the correct answer below:
Positive linear pattern
No pattern
Negative linear pattern…
Chapter 6 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 6.1 - The accompanying data on flexural strength (MPa)...Ch. 6.1 - The National Health and Nutrition Examination...Ch. 6.1 - Consider the following sample of observations on...Ch. 6.1 - The article from which the data in Exercise 1 was...Ch. 6.1 - As an example of a situation in which several...Ch. 6.1 - Urinary angiotensinogen (AGT) level is one...Ch. 6.1 - a. A random sample of 10 houses in a particular...Ch. 6.1 - In a random sample of 80 components of a certain...Ch. 6.1 - Each of 150 newly manufactured items is examined...Ch. 6.1 - Using a long rod that has length , you are going...
Ch. 6.1 - Of n1 randomly selected male smokers, X1 smoked...Ch. 6.1 - Suppose a certain type of fertilizer has an...Ch. 6.1 - Consider a random sample X1,..., Xn from the pdf...Ch. 6.1 - A sample of n captured Pandemonium jet fighters...Ch. 6.1 - Let X1, X2,..., Xn represent a random sample from...Ch. 6.1 - Suppose the true average growth of one type of...Ch. 6.1 - In Chapter 3, we defined a negative binomial rv as...Ch. 6.1 - Let X1, X2,..., Xn be a random sample from a pdf...Ch. 6.1 - An investigator wishes to estimate the proportion...Ch. 6.2 - A diagnostic test for a certain disease is applied...Ch. 6.2 - Let X have a Weibull distribution with parameters ...Ch. 6.2 - Let X denote the proportion of allotted time that...Ch. 6.2 - Let X represent the error in making a measurement...Ch. 6.2 - A vehicle with a particular defect in its emission...Ch. 6.2 - The shear strength of each of ten test spot welds...Ch. 6.2 - Consider randomly selecting n segments of pipe and...Ch. 6.2 - Let X1,..., Xn be a random sample from a gamma...Ch. 6.2 - Prob. 28ECh. 6.2 - Consider a random sample X1, X2,, Xn from the...Ch. 6.2 - At time t = 0, 20 identical components are tested....Ch. 6 - An estimator is said to be consistent if for any ...Ch. 6 - a. Let X1,.., Xn be a random sample from a uniform...Ch. 6 - At time t = 0, there is one individual alive in a...Ch. 6 - The mean squared error of an estimator is MSE ()...Ch. 6 - Prob. 35SECh. 6 - When the population distribution is normal, the...Ch. 6 - When the sample standard deviation S is based on a...Ch. 6 - Each of n specimens is to be weighed twice on the...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- The Commerce Department reported receiving the following applications for the MalcolmBaldrige National Quality Award: 23 from large manufacturing firms, 18 from large service firms, and 30 from small businesses.a. Is type of business a categorical or quantitative variable?b. What percentage of the applications came from small businesses? Figure 1.8 provides a bar chart showing the amount of federal spending for the years 2002to 2008 (USA Today, February 5, 2008).a. What is the variable of interest?b. Are the data categorical or quantitative?c. Are the data time series or cross-sectional?d. Comment on the trend in federal spending over time. The Food and Drug Administration (FDA) reported the number of new drugs approvedover an eight-year period (The Wall Street Journal, January 12, 2004). Figure 1.9 providesa bar chart summarizing the number of new drugs approved each year.a. Are the data categorical or quantitative?b. Are the data time series or cross-sectional?c. How many new drugs…arrow_forwardHow many of the most important techological catalyst for change, shown in the Data attached, were the HRDs required to select when completing the survey? A) 1 B) 2 C) 3 D) 4 E) 5arrow_forwardRefer to the following morbidity and mortality statistics for Community X for 2008. Total One-Year Population: 250,000 Population of Women 15-44: 75,000 Number of live births: 6,000 Total Deaths: 2,260 Number of infant deaths: 120 Deaths from heart disease: 222 Deaths from Cancer: 115 Deaths from Stroke: 90 Number of persons diagnosed with cancer 10,500 Calculate the following: Infant Mortality Rate _____________________________________ Prevalence of cancer for 2008 _____________________________ Crude Death Rate ______________________________________ Cause-specific mortality rate for stroke…arrow_forward
- Is the number of games won by a major league baseball team in a season related to the team's batting average? Data from 14 teams were collected and the summary statistics yield:∑Y= 1,134, ∑X = 3.642, Σ(Y−Yhat)2 = 1011.06, ∑(X−Xbar)2 = .00118, and ∑(X−Xbar)(Y−Ybar) = 295.54Estimate σ.arrow_forwardJustify data in term of: a. The first quartile, b. The third quartile, c. The fifth decile, and d. The 90th percentile by using formulae and graphs for the year 2020.arrow_forwardThe prices and the numbers of various items produced by a small machine and stamping plant are reported below. Use 2010 as the base. 2010 2018 Item Price (in $) Quantity Price (in $) Quantity Washer 0.07 17,000 0.10 20,000 Cotter pin 0.04 125,000 0.03 130,000 Stove bolt 0.15 40,000 0.15 42,000 Hex nut 0.08 62,000 0.10 65,000 a. Determine the Laspeyres price index. (Round your answer to 2 decimal places.) b. Determine the Paasche price index. (Round your answer to 2 decimal places.)arrow_forward
- An agent for a residential real estate company in a large city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 25 apartments in a particular residential neighborhood and collects the following data: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136 2650 726 1935 700 1875 956 2150 1100 2400 1285 2650 1985 3300 1369 2800 1175 2400 1225 2450 1245 2100 1259 2700 1150 2200 896 2150 1361 2600 1040 2650 755 2200 1000 1800 1200 2750 Make a Normal Probability Plot and a Residual plot of the Residuals (Y axis) vs. Apartment Size (X axis). Based on these results,…arrow_forwardAn agent for a residential real estate company in a large city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 25 apartments in a particular residential neighborhood and collects the following data: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136 2650 726 1935 700 1875 956 2150 1100 2400 1285 2650 1985 3300 1369 2800 1175 2400 1225 2450 1245 2100 1259 2700 1150 2200 896 2150 1361 2600 1040 2650 755 2200 1000 1800 1200 2750 (a) Construct a scatter plot. (b) Use the least-squares method to determine the regression coefficients (intercept and slope). (c)…arrow_forwardgiven this data, what will be the most appropriate way to present them?arrow_forward
- Given a set of data where mean = 37, SD = 6.2... Calculate the percentile score for 31arrow_forwardBecause of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for how small commuter airlines must estimate passenger weights. Under the old rule, airlines used 180 pounds as a typical passenger weight (including carry-on luggage) in warm months and 185 pounds as a typical weight in cold months. A journal reported that an airline conducted a study to estimate average passenger plus carry-on weights. They found an average summer weight of 183 pounds and a winter average of 190 pounds. Suppose that each of these estimates was based on a random sample of 100 passengers and that the sample standard deviations were 15 pounds for the summer weights and 21 pounds for the winter weights. (a) Construct a 95% confidence interval for the mean summer weight (including carry-on luggage) of this airline's passengers. (Use technology to calculate the critical value. Round your answers to three decimal places.) ( , )…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Matrix Operations Full Length; Author: ProfRobBob;https://www.youtube.com/watch?v=K5BLNZw7UeU;License: Standard YouTube License, CC-BY
Intro to Matrices; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=yRwQ7A6jVLk;License: Standard YouTube License, CC-BY