The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.2 miles per gallon. (a) What proportion of hybrids gets over 61 miles per gallon? (b) What proportion of hybrids gets 51 miles per gallon or less? left parenthesis c right parenthesis What proportion of hybrids gets between 59 and 61 miles per gallon? (d) What is the probability that a randomly selected hybrid gets less than 46 miles per gallon?
In: Statistics and Probability
Toby s Trucking Company determined that the distance traveled per truck per year is normally distributed, with a mean of 50.0 thousand miles and a standard deviation of 12.0 thousand miles.
a. What proportion of trucks can be expected to travel between 34.0 and 50.0 thousand miles in the year?
b. What percentage of trucks can be expected to travel either below 30.0 or above 60.0 thousand miles in the year?
c. How many miles will be traveled by at least 80% of the trucks?
d. What are your answers to (a) through (c) if the standard deviation is 10.0 thousand miles?
In: Statistics and Probability
Consider data regarding a response y and an explanatory variable x, both numeric
|
x |
y |
|
|
1 |
2.8 |
0.7 |
|
2 |
2.6 |
1.3 |
|
3 |
6.8 |
-1.1 |
|
4 |
3.0 |
0.2 |
|
5 |
4.7 |
1.1 |
|
6 |
5.0 |
-0.1 |
|
7 |
5.0 |
0.9 |
|
8 |
2.9 |
1.0 |
|
9 |
7.0 |
-0.2 |
|
10 |
3.7 |
0.8 |
The null hypothesis that the expected value of the response is constant for all values of the explanatory variable is:
Select one:
a. Not rejected with a significance level of 5%.
b. Rejected with a significance level of 5%, but not with a significance level of 1%.
c. Rejected with a significance level of 1%, but not with a significance level of 0.1%.
d. Rejected with a significance level of 0.1%
In: Statistics and Probability
he mean gas mileage for a hybrid car is
5656
miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of
3.23.2
miles per gallon. (a) What proportion of hybrids gets over
6161
miles per gallon? (b) What proportion of hybrids gets
5151
miles per gallon or less?
left parenthesis c right parenthesis What(c) What
proportion of hybrids gets between
5959
and
6161
miles per gallon? (d) What is the probability that a randomly selected hybrid gets less than
4646
miles per gallon?
LOADING...
Click the icon to view a table of areas under the normal curve.
(a) The proportion of hybrids that gets over
6161
miles per gallon is
nothing.
(Round to four decimal places as needed.)
(b) The proportion of hybrids that gets
5151
miles per gallon or less is
nothing.
(Round to four decimal places as needed.)
(c) The proportion of hybrids that gets between
5959
and
6161
miles per gallon is
nothing.
(Round to four decimal places as needed.)
(d) The probability that a randomly selected hybrid gets less than
4646
miles per gallon is
nothing
In: Math
manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles) by her sales representatives and their amount of sales (in thousands of dollars) per month. Complete the linear regression test below in order to predict the amount of sales if the sales representative traveled 1,300 miles?
In: Statistics and Probability
Sarah leaves her house and walks 11 miles to the west and then 6 miles at an angle 30 degrees west of north. How far and in what direction does Sarah need to walk to get home?
A picture and detailed show of work would be appreciated!
In: Physics
Drivers are concerned with the mileage
obtained by their automobiles. One driver has kept track of
several trips by recording miles driven and gallons used for
each trip. Develop a java program that uses a while statement
to input the miles driven and gallons used for each trip. The
program should calculate and display the miles per gallon
obtained for each trip and print the combined miles per gallon
obtained for all tankfuls up to this point.
Enter miles driven (-1 to quit): 287
Enter gallons used: 13
MPG this trip: 22.076923
Total MPG: 22.076923
Enter miles driven (-1 to quit): 200
Enter gallons used: 10
MPG this trip: 20.000000
Total MPG: 21.173913
Enter the miles driven (-1 to quit): 120
Enter gallons used: 5
MPG this trip: 24.000000
Total MPG: 21.678571
Enter the miles used (-1 to quit): -1
In: Computer Science
Drivers are concerned with the mileage obtained by their automobiles. One driver has kept track of several trips by recording miles driven and gallons used for each trip. Develop a Java program that uses a while statement to input the miles driven and gallons used for each trip. The program should calculate and display the miles per gallon obtained for each trip and print the combined miles per gallon obtained for all tankfuls up to this point. Enter miles driven (-1 to quit): 287 Enter gallons used: 13 MPG this trip: 22.076923 Total MPG: 22.076923 Enter miles driven (-1 to quit): 200 Enter gallons used: 10 MPG this trip: 20.000000 Total MPG: 21.173913 Enter the miles driven (-1 to quit): 120 Enter gallons used: 5 MPG this trip: 24.000000 Total MPG: 21.678571 Enter the miles used (-1 to quit): -1
In: Computer Science
The maintenance manager at a trucking company wants to build a regression model to forecast the time (in years) until the first engine overhaul based on four explanatory variables: (1) annual miles driven (in 1,000s of miles), (2) average load weight (in tons), (3) average driving speed (in mph), and (4) oil change interval (in 1,000s of miles). Based on driver logs and onboard computers, data have been obtained for a sample of 25 trucks. A portion of the data is shown in the accompanying table.
| Time Until First Engine Overhaul | Annual Miles Driven | Average Load Weight | Average Driving Speed | Oil Change Interval |
| 7.9 | 43.3 | 21 | 47 | 14 |
| 0.9 | 98.8 | 26 | 44 | 32 |
| 8.3 | 43.2 | 19 | 63 | 9 |
| 1.3 | 110.2 | 29 | 61 | 29 |
| 1.4 | 101.9 | 23 | 51 | 12 |
| 2.3 | 97 | 27 | 65 | 23 |
| 2.1 | 92.4 | 20 | 57 | 14 |
| 7.4 | 54.2 | 18 | 65 | 12 |
| 8.4 | 51.7 | 25 | 54 | 14 |
| 3.9 | 85.3 | 29 | 60 | 24 |
| 0.7 | 120.1 | 34 | 49 | 24 |
| 5.3 | 77.8 | 27 | 43 | 22 |
| 5.1 | 68.2 | 17 | 43 | 22 |
| 4.9 | 55 | 25 | 62 | 18 |
| 5.3 | 67.2 | 22 | 61 | 26 |
| 8.7 | 38.9 | 15 | 53 | 17 |
| 5.3 | 52.8 | 26 | 59 | 28 |
| 5.7 | 53.8 | 19 | 46 | 19 |
| 4.5 | 74.7 | 21 | 61 | 29 |
| 6.1 | 59 | 18 | 56 | 15 |
| 6.7 | 52.4 | 19 | 54 | 16 |
| 6.7 | 68.3 | 20 | 50 | 18 |
| 4.2 | 95 | 28 | 59 | 20 |
| 7.3 | 45.8 | 13 | 60 | 10 |
| 6 | 61.3 | 20 | 60 | 24 |
b. Estimate the regression model. (Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.)
| TimeˆTime^ = + Miles + Load + Speed + Oil |
d. What is the predicted time before the first engine overhaul for a particular truck driven 60,000 miles per year with an average load of 23 tons, an average driving speed of 55 mph, and 21,000 miles between oil changes. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)
| TimeˆTime^ | years |
In: Statistics and Probability
In a study investigating the effect of car speed on accident severity, the vehicle speed at impact was recorded for 5000 fatal accidents. For these accidents, the mean speed was 42 miles per hour with a standard deviation of 15 miles per hour. Assuming the speeds are normally distributed, use the empirical rule to answer the following: a) About what percent of vehicle speeds were between 42 and 72 miles per hour? b) About what percent of vehicle speeds were in excess of 57 miles per hour? c) About what percent of vehicle speeds were below 12 miles per hour? d) About what percent of vehicle speeds were between 12 miles per hour and 57 miles per hour?
In: Statistics and Probability