Part 3 of 3 Construct a 90% confidence interval for the difference between the mean yields for the two types of fertilizer. Let μ₁ denote the mean yield for fertilizer A. Use the TI-84 Plus calculator. Round the answers to one decimal place. The 90% confidence interval for the difference between the mean yields for the two types of fertilizer is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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part 3

Fertilizer: In an agricultural experiment, the effects of two fertilizers on the production of oranges were measured. Ten
randomly selected plots of land were treated with fertilizer A, and 9 randomly selected plots were treated with fertilizer B.
The number of pounds of harvested fruit was measured from each plot. Following are the results.
491
437
362
403 466 445 457
516 417 420 400
400
Part 1 of 3
414
368 393 437 394
Part 2 of 3
Fertilizer A
Send data to Excel
Explain why it is necessary to check whether the populations are approximately normal before constructing a confidence
interval.
Since the sample size is small
It is
Fertilizer B
420
408 398 382
Following are boxplots of these data. Is it reasonable to assume that the populations are approximately normal?
Part: 2 / 3
Part 3 of 3
360 370 380 390
440
460
480
it is necessary to check that the populations are approximately normal.
500
520 540
400 410 420 430 440 ¹450
▼reasonable to assume that the populations are approximately normal.
Construct a 90% confidence interval for the difference between the mean yields for the two types of fertilizer. Let μ₁
denote the mean yield for fertilizer A. Use the TI-84 Plus calculator. Round the answers to one decimal place.
The 90% confidence interval for the difference between the mean yields for the two types of
fertilizer is <H₁-H₂ <0.
<!
X
3
8E ›
Transcribed Image Text:Fertilizer: In an agricultural experiment, the effects of two fertilizers on the production of oranges were measured. Ten randomly selected plots of land were treated with fertilizer A, and 9 randomly selected plots were treated with fertilizer B. The number of pounds of harvested fruit was measured from each plot. Following are the results. 491 437 362 403 466 445 457 516 417 420 400 400 Part 1 of 3 414 368 393 437 394 Part 2 of 3 Fertilizer A Send data to Excel Explain why it is necessary to check whether the populations are approximately normal before constructing a confidence interval. Since the sample size is small It is Fertilizer B 420 408 398 382 Following are boxplots of these data. Is it reasonable to assume that the populations are approximately normal? Part: 2 / 3 Part 3 of 3 360 370 380 390 440 460 480 it is necessary to check that the populations are approximately normal. 500 520 540 400 410 420 430 440 ¹450 ▼reasonable to assume that the populations are approximately normal. Construct a 90% confidence interval for the difference between the mean yields for the two types of fertilizer. Let μ₁ denote the mean yield for fertilizer A. Use the TI-84 Plus calculator. Round the answers to one decimal place. The 90% confidence interval for the difference between the mean yields for the two types of fertilizer is <H₁-H₂ <0. <! X 3 8E ›
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