Questions
The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the...

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,...

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...

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...

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)...

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?

  1. By visual observation of the scatter plot, does the data appear linear?
  1. Null Hypothesis:
  1. Alternative Hypothesis:
  1. What is the value of r?
  1. What are the critical values for r?
  1. Is there sufficient evidence to support a claim of a linear correlation between the two variables? Why or why not? Explain why you rejected or failed to reject the null.
  1. If there is a correlation, what is the regression equation?
  1. What is your best prediction of the number of sales made by a sales person who traveled 1,300 miles?

In: Statistics and Probability

Sarah leaves her house and walks 11 miles to the west and then 6 miles at...

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...

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...

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...

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...

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