1. In a study on speed control, it was found that the main reasons for regulations were to make traffic flow more efficient and to minimize the risk of danger. An area that was focused on in the study was the distance required to completely stop a vehicle at various speeds. Use the following table to answer the questions. MPH Braking distance (feet) 20 30 40 50 20 45 133 205 411 60 80 Assume MPH is going to be used to predict stopping distance. a. Which of the two variables is the independent variable? b. Which is the dependent variable? c. What type of variable is the independent variable?

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1. In a study on speed control, it was found that the main reasons for regulations were to make traffic flow
more efficient and to minimize the risk of danger. An area that was focused on in the study was the
distance required to completely stop a vehicle at various speeds. Use the following table to answer the
questions.
Braking distance (feet)
MPH
20
20
30
45
40
81
50
133
60
205
80
411
Assume MPH is going to be used to predict stopping distance.
a. Which of the two variables is the independent variable?
b. Which is the dependent variable?
c. What type of variable is the independent variable?
d. What type of variable is the dependent variable?
e. Construct a scatter plot for the data.
f. Is there a linear relationship between the two variables?
g. Compute the value of r.
2. A researcher wants to see if there is a relationship between the number of new productions on
Broadway in any given year and the attendance for the season. The data below were recorded for a
selected number of years. Based on these data, can you conclude a relationship between the number
of new productions in a season and the attendance?
No. of new
61 60 50 37
productions
54 67 60
54
Attendance
(millions)
7.4 8.2 7.1 8.8 9.6 11 8.4 7.4
a. Draw the scatter plot for the variables and determine the relation present.
b. Compute the value of the correlation coefficient.
3. The yearly data have been published showing the number of releases for each of the commercial
movie studios and the gross receipts for those studios thus far. Based on these data, can it be
concluded that there is a relationship between the number of releases and the gross receipts?
No. of releases x | 361 270 306 22 35 10 8 12 21
Gross receipts y
(million S)
| 3844 1962 1371 1064 334 241 188 154 125
a. Draw the scatter plot for the variables and determine the relation present.
b. Compute the value of the correlation coefficient.
Transcribed Image Text:1. In a study on speed control, it was found that the main reasons for regulations were to make traffic flow more efficient and to minimize the risk of danger. An area that was focused on in the study was the distance required to completely stop a vehicle at various speeds. Use the following table to answer the questions. Braking distance (feet) MPH 20 20 30 45 40 81 50 133 60 205 80 411 Assume MPH is going to be used to predict stopping distance. a. Which of the two variables is the independent variable? b. Which is the dependent variable? c. What type of variable is the independent variable? d. What type of variable is the dependent variable? e. Construct a scatter plot for the data. f. Is there a linear relationship between the two variables? g. Compute the value of r. 2. A researcher wants to see if there is a relationship between the number of new productions on Broadway in any given year and the attendance for the season. The data below were recorded for a selected number of years. Based on these data, can you conclude a relationship between the number of new productions in a season and the attendance? No. of new 61 60 50 37 productions 54 67 60 54 Attendance (millions) 7.4 8.2 7.1 8.8 9.6 11 8.4 7.4 a. Draw the scatter plot for the variables and determine the relation present. b. Compute the value of the correlation coefficient. 3. The yearly data have been published showing the number of releases for each of the commercial movie studios and the gross receipts for those studios thus far. Based on these data, can it be concluded that there is a relationship between the number of releases and the gross receipts? No. of releases x | 361 270 306 22 35 10 8 12 21 Gross receipts y (million S) | 3844 1962 1371 1064 334 241 188 154 125 a. Draw the scatter plot for the variables and determine the relation present. b. Compute the value of the correlation coefficient.
3. Find the critical value (or values) for the t test for each.
a. n = 10, a = 0.05, right-tailed
b. n = 18, a = 0.10, two-tailed
c.n = 6, a = 0.01, left-tailed
d. n = 9, a =0.025, right-tailed
e.n = 15, a = 0.05, two-tailed
f.n = 23, a = 0.005, left-tailed
g. n = 28, a = 0.01, two-tailed
h.n = 17, a = 0.02, two-tailed
4. A state executive claims that the average number of acres in western Pennsylvania state
parks is less than 2000 acres. A random sample of five parks is selected, and the number of
acres is shown. At a = 0.01, is there enough evidence to support the claim?
959 1187 493
6249 541
5. Men spend an average of 29 minutes per day on weekends and holidays exercising and
playing sports. They spend an average of 23 minutes per day reading. A random sample of 25
men resulted in a mean of 35 minutes exercising with a standard deviation of 6.9 minutes and
an average of 20.5 minutes reading with s = 7.2 minutes. At a = 0.05 for both, is there sufficient
evidence that these two results differ from the national means?
Transcribed Image Text:3. Find the critical value (or values) for the t test for each. a. n = 10, a = 0.05, right-tailed b. n = 18, a = 0.10, two-tailed c.n = 6, a = 0.01, left-tailed d. n = 9, a =0.025, right-tailed e.n = 15, a = 0.05, two-tailed f.n = 23, a = 0.005, left-tailed g. n = 28, a = 0.01, two-tailed h.n = 17, a = 0.02, two-tailed 4. A state executive claims that the average number of acres in western Pennsylvania state parks is less than 2000 acres. A random sample of five parks is selected, and the number of acres is shown. At a = 0.01, is there enough evidence to support the claim? 959 1187 493 6249 541 5. Men spend an average of 29 minutes per day on weekends and holidays exercising and playing sports. They spend an average of 23 minutes per day reading. A random sample of 25 men resulted in a mean of 35 minutes exercising with a standard deviation of 6.9 minutes and an average of 20.5 minutes reading with s = 7.2 minutes. At a = 0.05 for both, is there sufficient evidence that these two results differ from the national means?
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