Ground or Air The earths temperature canbe measured using

Chapter 10, Problem 44

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Ground or Air? The earths temperature canbe measured using either ground-based sensors orinfrared-sensing devices mounted in aircraft or spacesatellites. Ground-based sensoring is very accurate buttedious, while infrared-sensoring appears to introducea bias into the temperature readingsthat is, the averagetemperature reading may not be equal to the averageobtained by ground-based sensoring. To determinethe bias, readings were obtained at five different locationsusing both ground- and air-based temperaturesensors. The readings (in degrees Celsius) are listedhere:Location Ground Air1 46.9 47.32 45.4 48.13 36.3 37.94 31.0 32.75 24.7 26.2a. Do the data present sufficient evidence to indicate abias in the air-based temperature readings? Explain.b. Estimate the difference in mean temperaturesbetween ground- and air-based sensors using a 95%confidence interval.c. How many paired observations are required toestimate the difference between mean temperaturesfor ground- versus air-based sensors correctto within .2C, with probability approximatelyequal to .95?

Questions & Answers

QUESTION:

Ground or Air? The earths temperature canbe measured using either ground-based sensors orinfrared-sensing devices mounted in aircraft or spacesatellites. Ground-based sensoring is very accurate buttedious, while infrared-sensoring appears to introducea bias into the temperature readingsthat is, the averagetemperature reading may not be equal to the averageobtained by ground-based sensoring. To determinethe bias, readings were obtained at five different locationsusing both ground- and air-based temperaturesensors. The readings (in degrees Celsius) are listedhere:Location Ground Air1 46.9 47.32 45.4 48.13 36.3 37.94 31.0 32.75 24.7 26.2a. Do the data present sufficient evidence to indicate abias in the air-based temperature readings? Explain.b. Estimate the difference in mean temperaturesbetween ground- and air-based sensors using a 95%confidence interval.c. How many paired observations are required toestimate the difference between mean temperaturesfor ground- versus air-based sensors correctto within .2C, with probability approximatelyequal to .95?

ANSWER:

Step 1 of 3

We conduct T-test for Paired Samples as:

Sample 1

Sample 2

Difference= Sample 1 - Sample 2

46.7

47.5

-0.8

45.5

48.2

-2.7

36.4

38.1

-1.7

31

32.8

-1.8

24.5

26.1

-1.6

Average

36.82

38.54

-1.72

St. Dev.

9.471

9.506

0.676

n

5

5

5

From the sample data, it is found that the corresponding sample means are:

                                                         

Also, the provided sample standard deviations are:

                                                       

And the sample size is  . For the score differences we have,

                                                       

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back