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
Videos
Question
Chapter 13.2, Problem 19E
a.
To determine
Find whether the
b.
To determine
Find the model obtained by taking ln(lifetime) and 1/temperature.
Identify whether the scatterplot of the transformed data appear compatible in establishing the relationship between lifetime and temperature.
c.
To determine
Find the parameters of the model obtained in part (b).
Predict the lifetime when temperature is 220.
d.
To determine
Carry the lack of fit test at 1% level of significance.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An article in the Joumal of Sound and Vibranon (Vol. 151, 1991, pp. 383-394) described a study investigating the relationship between noise
exposure and hypertension. The following data e represertative of those reported in the article.
1 60 5 85
O 63 4 89
1 65 6 90
2 70 8 90
5 70 4 90
1 70 5 90
4 80 7 94
6 90 9 100
2 00 7 100
3 80 6 100
Fit a linear regression model relating blood pressure rise in millmeters of mercury () to sound pressure level in decibels (x) using least
squares.
Does a simple linear regression model seem reasonable in this situation? What are the least squares estimate of the intercept?
Does a simple linear regression model (intercept) seem reasonable in this situation? Input Yes or No.
Blank 1
What are the least squares estimate of the intercept? Input answer up to 3 decimal places, i.e., 0.000.
Blank 2
Blank 1
Add your answer
Blank 2
Add your answer
Table 3 shows the number of lung cancer deaths per daily number of cigarettes smoked at the time
of completing the 1951 questionnaire (only for male physicians who were nonsmokers and current
smokers). The number of cigarettes smoked was available for 136 of the people who died of lung
cancer.
Number of cigarettes
Deaths
3
Person-years
42800
0.
1-14
22
38600
15-24
54
38900
+24
57
25100
a) Estimate the appropriate measure of association and 95% confidence interval for each
category of number of cigarettes smoked daily, using the group of non-smokers as the
reference category.
b) What can be inferred about the estimated measure of association in the different categories
of number of cigarettes smoked daily?
c) What is the proportion of lung cancer deaths among all smokers that can be attributed
smoking? What is the proportion of lung cancer deaths in the total population that can be
attributed to smoking? consider that
EXER 6.3
Find the covariance and the correlation coefficient between X
and Y, if X and Y are jointly discrete random variables, with
joint PMF given by: SHOW SOLUTIONS
X\Y
0
1
6
0
28
6
1
28
2
0
333333
28
28
28
2120
28
0
Chapter 13 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 13.1 - Suppose the variables x = commuting distance and y...Ch. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Prob. 4ECh. 13.1 - As the air temperature drops, river water becomes...Ch. 13.1 - The accompanying scatterplot is based on data...Ch. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - Consider the following four (x, y) data sets; the...Ch. 13.1 - a. Show that i=1nei=0 when the eis are the...
Ch. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Prob. 13ECh. 13.1 - If there is at least one x value at which more...Ch. 13.2 - No tortilla chip aficionado likes soggy chips, so...Ch. 13.2 - Polyester fiber ropes are increasingly being used...Ch. 13.2 - The following data on mass rate of burning x and...Ch. 13.2 - Failures in aircraft gas turbine engines due to...Ch. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Mineral mining is one of the most important...Ch. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Kyphosis refers to severe forward flexion of the...Ch. 13.2 - Prob. 25ECh. 13.3 - The following data on y 5 glucose concentration...Ch. 13.3 - The viscosity (y) of an oil was measured by a cone...Ch. 13.3 - Prob. 29ECh. 13.3 - The accompanying data was extracted from the...Ch. 13.3 - The accompanying data on y 5 energy output (W) and...Ch. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - The following data resulted from an experiment to...Ch. 13.3 - The article The Respiration in Air and in Water of...Ch. 13.4 - Cardiorespiratory fitness is widely recognized as...Ch. 13.4 - A trucking company considered a multiple...Ch. 13.4 - Let y = wear life of a bearing, x1 = oil...Ch. 13.4 - Let y = sales at a fast-food outlet (1000s of ),...Ch. 13.4 - The article cited in Exercise 49 of Chapter 7 gave...Ch. 13.4 - The article A Study of Factors Affecting the Human...Ch. 13.4 - An investigation of a die-casting process resulted...Ch. 13.4 - Prob. 43ECh. 13.4 - The accompanying Minitab regression output is...Ch. 13.4 - The article Analysis of the Modeling Methodologies...Ch. 13.4 - A regression analysis carried out to relate y =...Ch. 13.4 - Efficient design of certain types of municipal...Ch. 13.4 - An experiment to investigate the effects of a new...Ch. 13.4 - Prob. 49ECh. 13.4 - Prob. 50ECh. 13.4 - The article Optimization of Surface Roughness in...Ch. 13.4 - Utilization of sucrose as a carbon source for the...Ch. 13.4 - Prob. 53ECh. 13.4 - Prob. 54ECh. 13.5 - The article The Influence of Honing Process...Ch. 13.5 - Prob. 56ECh. 13.5 - In the accompanying table, we give the smallest...Ch. 13.5 - Prob. 58ECh. 13.5 - Prob. 59ECh. 13.5 - Pillar stability is a most important factor to...Ch. 13.5 - Prob. 61ECh. 13.5 - Prob. 62ECh. 13.5 - Prob. 63ECh. 13.5 - Prob. 64ECh. 13 - Curing concrete is known to be vulnerable to shock...Ch. 13 - Prob. 66SECh. 13 - The article Validation of the Rockport Fitness...Ch. 13 - Feature recognition from surface models of...Ch. 13 - Air pressure (psi) and temperature (F) were...Ch. 13 - An aeronautical engineering student carried out an...Ch. 13 - An ammonia bath is the one most widely used for...Ch. 13 - The article An Experimental Study of Resistance...Ch. 13 - The accompanying data on x = frequency (MHz) and y...Ch. 13 - Prob. 74SECh. 13 - Prob. 75SECh. 13 - The article Chemithermomechanical Pulp from Mixed...Ch. 13 - Prob. 77SECh. 13 - Prob. 78SECh. 13 - Prob. 79SECh. 13 - Prob. 80SECh. 13 - Prob. 81SECh. 13 - Prob. 82SECh. 13 - Prob. 83SE
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
- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?arrow_forwardAn artide in the IEEE Transactions on Components, Hybrids, and Manufacturing Technology (Vol. 15, No. 2, 1992, pp. 146-153) describes an experiment in which the contact resistance of a brake-only relay was studied for three different materials (all were silver-based alloys). The data are as follows: Alloy 1 95 97 99 98 99 99 99 94 95 98 104 102 102 105 99 102 111 103 100 103 119 130 132 136 141 172 145 150 144 135 Contact Resistance Calculate the test statistic f, (2 decimal places). fo = Blank 1arrow_forward6:03 Consider the following data set that contains information about a sample of ten U.S. states in 2022 providing the gas price per gallon and price of a gallon of milk for each state. rice of a gallon of milk, [dollar: price of a gallon of milk (dollars) 1 4.08 2 4.12 3 4.25 4 4.31 5 4.33 6 4.4 7 4.69 8 4.71 9 4.81 10 4.95 The scatter plot that summarizes the data with regard to the gas price per gallon as the input variable and the price of a gallon of milk as the output variable is provided below. state gas price per gallon (dollars) 3.18 3.45 4.58 4.88 4.98 5.19 5.23 5.42 5.58 5.64 1 5 gas price per gallon, [dollars] a. Is there an association between the gas price per gallon and the price of a gallon of milk of a state? If yes, is it positive or negative? There appears to be Select an answer the two variables. myopenmath.com betweenarrow_forward
- 10:57 ANOVA-LABORATO... LABORATORY EXERCISE 5 Do colors affect mood? You are particularly interested to know which color gives people a sense of serenity and peacefulness. You conduct an experiment by making participants stay for 20 minutes inside a room painted with a particular color (e.g., Red, Orange, Yellow, Green, Blue). With the use of temperature-sensitive cameras, you record the average body temperature of each individual during their stay inside each room (i.e., lower body temperatures are associated with feelings of calmness and relaxation; higher body temperatures - stimulation, excitement). Results are presented on the table. Red Orange 39 43 Yellow Green Blue 43 39 38 39 33 35 31 34 41 44 42 34 32 42 35 39 37 32 45 40 39 36 33 35 34 41 39 38 A. CONSIDER that the data is UNCORRELATED use alpha .05. Provide the following: 1. Number of Participants 2. Null Hypothesis 3. ANOVA TABLE 4. CI of the F value 5. Statistical Interpretation 6. If the Fis significant, perform a POST…arrow_forwardA study was conducted in the tidal flat at Polka Point, North Stradbroke Island to examine the distribution of the animals that live with the seagrass Sargassum at different distances from the shoreline. Samples of Sargassum were taken at 5, 10, 15 m from the shore and these were examined for amphipods and isopods. The observations are recorded below. Is the distribution of each of the organisms with regards to the shore the same at all three distances? Use the data below to test the hypothesis at the p < 0.05 level. Clearly state the hypotheses and interpret the results. (Note: Find chi-square for each individual column (amphipods and isopods, not the two together) Distance Amphipods Isopods 5 2 7 10 31 14 15 45 22arrow_forwardpage 12 paper 2 4. INDICES AND SURDS 2007 J Q1arrow_forward
- 10.53 A study was conducted at Virginia Tech to de- termine if the "strength" of a wound from surgical inci- sion is affected by the temperature of the knife. Eight dogs were used in the experiment. "Hot" and "cold" incisions were made on the abdomen of each dog, and the strength was measured. The resulting data appear below. Strength 5120 Dog Knife Hot Cold 1 1 8200 Hot Cold 10, 000 8600 2 2 10, 000 9200 3 Hot 3 Cold Hot 10, 000 6200 4 4 Coldarrow_forwardVOLTE 13 A researcher in a large university believes that the mean health care expenses of the university differ from the national average of $1570. A sample of 50 people shows an average of $1680 and a standard deviation is $180. Can we say that the mean health care expenses differ from the national average at a= 0.05 ?. (Click the link below to get normal-table values) https://drive.google.com/file/d/1rLJzsws5fYwv usp=sharing (a) Hypothesis: ( If the hypothesis is Ho: u1570 then write 1 in the answer box. If the hypothesis is Ho: u > 1570 and H1: u <1570 then write 2 in the answer box If the hypothesis is Ho: u = 1570 and H1: #1570 then write 3 in the answer box) (b) Critical value = (Example: 3.56) (c) Test Statistic or Calculated value = ( Example : 7.89)arrow_forward8:57 ull LTE I moodle.wou.edu Chi Square Test of Independence Practice Problem A psychologist is looking at the relationship between personality characteristics and physical health. Some prior research has suggested that personality may be associated with coronary heart disease. To test this idea, the psychologist samples 200 men (ages 35-55 years old) who are participating in health center sponsored physical activity program. Participants are asked to report whether or not they have been treated for heart disease (Y or N), and then they complete a personality inventory to determine if they are classified as Type A or Type B personality. Based on the data is there a relationship between personality and heart disease (there differences in the rate of heart disease for Type A vs. Type B individuals)? Use the 7 steps of hypothesis testing to determine if there are differences in the rate of heart disease for Type A vs. Type B individuals. Use a = .05. Heart Disease No Heart Disease Туре А…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License