Intro Stats
4th Edition
ISBN: 9780321826275
Author: Richard D. De Veaux
Publisher: PEARSON
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Chapter 18, Problem 3E
(a)
To determine
Find the critical value of t.
(b)
To determine
Find the critical value of t.
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Check out a sample textbook solutionStudents have asked these similar questions
A)Test the claim, at the a = 0.10 level of significance, that a linear relation exists
between the two variables, for the data below, given that y-1.885x +0.758.
-5 |-3| 4
11 6
y
Step 1) State the null and alternative hypotheses.
Step 2) Determine the critical value for the level of significance, a.
Step 3) Find the test statistic or P-value.
Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis?
Step 5) Write the conclusion.
B) The regression line for the given data is v = -1.885x + 0.758. Determine the
residual of a data point for which x = 2 and y = -4.
SAMSUNG
DII
96
&
Studies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to
the time between when cardiac arrest occurs and when the defibrillator shock is delivered?
= survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized
The accompanying data give y
and so the call-to-shock time tended to be short) and for four communities of different sizes.
Mean call-to-shock time, x
2
6.
7
9.
12
Survival rate, y
91
46
32
4
Temperature Gas Usage (thm)
37 1250
39 1375
41 980
44 875
47 750
48 730
49 765
53 510
56 480
58 300
A) Graph data and find axis, line of best fit (get exact values, round to three decimal places as needed).
B) Pick one independent point and calculate expected value. Compare results of observed value.
C) Calculate r-value and explain in context.
Chapter 18 Solutions
Intro Stats
Ch. 18.2 - Every 10 years, the United States takes a census....Ch. 18.2 - Prob. 2JCCh. 18.2 - Prob. 3JCCh. 18.2 - Every 10 years, the United States takes a census....Ch. 18.2 - Prob. 5JCCh. 18.2 - Prob. 6JCCh. 18 - Salmon A specialty food company sells whole King...Ch. 18 - LSAT The LSAT (a test taken for law school...Ch. 18 - Prob. 3ECh. 18 - t-models, part II Using the t tables, software, or...
Ch. 18 - t-models, part III Describe how the shape, center,...Ch. 18 - Prob. 6ECh. 18 - Prob. 7ECh. 18 - Home sales again In the previous exercise, you...Ch. 18 - Prob. 9ECh. 18 - Prob. 10ECh. 18 - Prob. 11ECh. 18 - Prob. 12ECh. 18 - Prob. 13ECh. 18 - Prob. 14ECh. 18 - Cattle Livestock are given a special feed...Ch. 18 - Prob. 16ECh. 18 - Meal plan After surveying students at Dartmouth...Ch. 18 - Prob. 18ECh. 18 - Prob. 19ECh. 18 - Prob. 20ECh. 18 - Prob. 21ECh. 18 - Credit card charges A credit card company takes a...Ch. 18 - 23. Normal temperature The researcher described in...Ch. 18 - Parking Hoping to lure more shoppers downtown, a...Ch. 18 - 25. Normal temperatures, part II Consider again...Ch. 18 - 26. Parking II Suppose that, for budget planning...Ch. 18 - Speed of light In 1882, Michelson measured the...Ch. 18 - Prob. 28ECh. 18 - Prob. 29ECh. 18 - Prob. 30ECh. 18 - Prob. 31ECh. 18 - Prob. 32ECh. 18 - Prob. 33ECh. 18 - Golf balls The United States Golf Association...Ch. 18 - Prob. 35ECh. 18 - Computer lab fees The technology committee has...Ch. 18 - Marriage In 1960, census results indicated that...Ch. 18 - Prob. 38ECh. 18 - Prob. 39ECh. 18 - Prob. 40ECh. 18 - Prob. 41ECh. 18 - Prob. 42ECh. 18 - Prob. 43ECh. 18 - 44. Yogurt Consumer Reports tested 11 brands of...Ch. 18 - 45. Maze Psychology experiments sometimes involve...Ch. 18 - Prob. 46ECh. 18 - 47. Driving distance 2011 How far do professional...Ch. 18 - Prob. 48E
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- Provide an appropriate response. Test the claim, at the a 0.01 level of significance, that a linear relation exists between the two variables, for the data below, given that y-2.097x-0.552 | -5 -10 -8 9 1| -1 -2 -2 6 -1 3 -3 2 3 y Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis? Step 5) Write the conclusion. HTML Editor B IUA A I E E E E E x x, = E TT 12pt Paraçarrow_forwardStudies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes: Mean call-to-shock time, x Survival rate, y The data were used to compute the equation of the least-squares line, which was ŷ = 100.90 9.21x. A newspaper article reported that "every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent." Is this statement consistent with the given least-squares line? Explain. O Since the slope of the least-squares line…arrow_forwardStudies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes: Mean call-to-shock time, x 2 7 9 12 Survival rate, y 90 46 30 5 3 The data were used to compute the equation of the least-squares line, which was 3D 101.26 — 9.23х. A newspaper article reported that "every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent." Is this statement consistent with the given least-squares line? Explain. Since the slope of…arrow_forward
- Studies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes. Mean call-to-shock time, x 2 6 7 9 12 Survival rate, y 92 44 31 4 3 n USE SALT (a) Construct a scatterplot for these data. y y y y 100 100 12 12• 10 80 10 80 8 8 60 60 6 40 40 4 4 20 20 20 40 60 80 100 6. 8 10 12 20 40 60 80 100 4 8 10 12 How would you describe the relationship between mean call-to-shock time and survival rate? O There is a strong positive relationship. The relationship is close to being…arrow_forwardStudies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered?The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes: Mean call-to-shock time, x 2 6 7 9 12 Survival rate, y 90 46 31 4 3 (a) Construct a scatterplot for these data. A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 13. The vertical axis is labeled "y" and has values from 0 to 100. 4 points are plotted in an almost straight line from approximately (2, 90) down and right to approximately (9, 5). 1 point is…arrow_forwardStudies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes: Mean call-to-shock time, x 2 6 7 9 12 Survival rate, y 90 45 31 4 3 The data were used to compute the equation of the least-squares line, which was ŷ = 101.16 − 9.24x.A newspaper article reported that "every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent." Is this statement consistent with the given least-squares line? Explain. Since the slope of…arrow_forward
- How would you describe the relationship between mean call-to-shock time and survival rate? O There is a strong positive relationship. The relationship is close to being linear, particularly if the point with the lowest x value is disregarded. If that point is included then there is the suggestion of a curve. O There is a strong positive relationship. The relationship is close to being linear, particularly if the point with the highest x value is disregarded. If that point is included then there is the suggestion of a curve. O There is a strong negative relationship. The relationship is close to being linear, particularly if the point with the lowest x value is disregarded. If that point is included then there is the suggestion of a curve. O There is a strong negative relationship. The relationship is close to being linear, particularly if the point with the highest x value is disregarded. If that point is included then there is the suggestion of a curve. (b) Find the equation of the…arrow_forwardStudies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes. Mean call-to-shock time, x Survival rate, y (a) Construct a scatterplot for these data. y 12. 10 8 6 4 y 100 80 60 40 20 20 2 4 40 6 60 8 2 91 80 6 46 10 12 7 9 12 32 100 X 4 Ⓡ 3 y 12 10 8 6. 4 2. 20 40 60 80 100 x (b) Find the equation of the least-squares line. (Round your values to four decimal places.) ý = 100 80 60 40 20 2 4 6 8 10 12 X How would you describe the relationship between mean call-to-shock…arrow_forwardStudies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes. Mean call-to-shock time, x 2 6 7 9 12 Survival rate, y 92 46 31 6 3 (a) Construct a scatterplot for these data. A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 13.The vertical axis is labeled "y" and has values from 0 to 100.1 point is plotted at approximately (2, 2.5).4 points are plotted in an almost straight line from approximately (6, 5) up and right to…arrow_forward
- Studies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes. Mean call-to-shock time, x 2 6 7 9 12 Survival rate, y 91 46 31 6 3 (a) Construct a scatterplot for these data. A scatterplot has 5 points. The horizontal axis is labeled "x" and has values from 0 to 100. The vertical axis is labeled "y" and has values from 0 to 13. 1 point is plotted at approximately (2.5, 2). 4 points are plotted in an almost straight line from approximately (5, 6) up and…arrow_forwardStudies have shown that people who suffer sudden cardiac arrest have a better chance of survival if a defibrillator shock is administered very soon after cardiac arrest. How is survival rate related to the time between when cardiac arrest occurs and when the defibrillator shock is delivered? The accompanying data give y = survival rate (percent) and x = mean call-to-shock time (minutes) for a cardiac rehabilitation center (in which cardiac arrests occurred while victims were hospitalized and so the call-to-shock time tended to be short) and for four communities of different sizes. Mean call-to-shock time, x 2 6 79 12 Survival rate, y (a) Construct a scatterplot for these data. y 12. 10 O 8 6 20 40 60 91 44 32 6 4 80 100 y 100 80 60 ELL 40 20 2 4 6 8 X 12 10 8 6 4 20 40 60 (b) Find the equation of the least-squares line. (Round your values to four decimal places.) ŷ= Jx 80 100 10 12 (c) Use the least-squares line to predict survival rate for a community with a mean call-to-shock time of…arrow_forwardThe accompanying data represent the total compensation for 12 randomly selected chief executive officers (CEOS) and the company's stock performance. Use the data to complete parts (a) through (d). E Click the icon to view the data table. (a) Treating compensation as the explanatory variable, x, use technology to determine the estimates of Bo and B,- The estimate of B, is (Round to three decimal places as needed.) Data Table of Compensation and Stock Performante Compensation Company (millions of dollars) Return (%) O Stock A 14.71 75.73 В 4.02 64.29 C 6.55 141.81 D 1.32 30.73 1.73 10.75 2.43 29.05 12.26 0.56 7.07 66.32 9.51 56.31 J 3.83 58.48 K 21.29 21.52 6.63 31.85 Print Donearrow_forward
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