Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. a farmer uses a greenhouse to grow his fruits and

A farmer uses a greenhouse to grow his fruits and vegetables year round. He recently purchased...

Free

90.2K

Verified Solution

Question

Basic Math

  1. A farmer uses a greenhouse to grow his fruits and vegetablesyear round. He recently purchased a machine that uses artificialintelligence to adjust the lighting to optimize plant growth. Hewants to cut down on his energy costs so he started experimentingwith two different light bulbs (HID & LED). The farmer wouldnote down the daily kW usage when either is installed that day,each independent of the other. He randomly selected usage data andcreated the table below. Due to some technical issue, he lost thefiles containing some values for the LED lighting. Does the dataprovide sufficient evidence, at ? = 0.10, to indicate that averagekW usage is lower for the LED bulbs?

LED (kW usage)

516

487

502

501

498

515

HID (kW usage)

517

506

513

554

550

499

535

490

510

529

Answer & Explanation Solved by verified expert
4.0 Ratings (497 Votes)

Here we have data:

LED HID
516 517
487 506
502 513
501 554
498 550
515 499
535
490
510
529

Here we use Excel to calculate:

Excel oputput:

t-Test: Two-Sample Assuming Unequal Variances
Variable 1 Variable 2
Mean 503.1666667 520.3
Variance 119.7666667 450.67778
Observations 6 10
Hypothesized Mean Difference 0
df 14
t Stat -2.12465636
P(T<=t) one-tail 0.025953184
t Critical one-tail 1.345030374
P(T<=t) two-tail 0.051906368
t Critical two-tail 1.761310136

Hypothesis:

Ho: ?1 = ?2

Ha: ?1 < ?2

Test statistics:

t = - 2.12

P-value = p(t>|-2.12|)

= 0.0259

Critical value:

t-critical = - 1.345

Conclusion: Reject the null hypothesis.

Here we have sufficient evidence to reject the null hypothesis, because t-observed value (-2.12) is less than t-critical value (-1.345) so it is in the rejection region.

we can support the Claim that average kW usage is lower for the LED bulbs.
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Find the solution of y′′+5y′=100sin(5t)+250cos(5t) with y(0)=7 and y′(0)=3.

Basic Math
Q

Dividend policy of a company may affect dividend signalling when?

Finance
Q

How did Apple succeed in the music retail business? Use five forces to analyze that business....

General Management
Q

31 Two point charges q and 2q are placed at the vertices B and C...

Physics
Q

Which polygon has an interior angle sum of 900

Geometry
Q

To increase net income, management is considering reducing the selling price by 10%,...

Accounting
Q

Prepare an income statement and a statement...

Accounting
Q

Upon committing fraud, what do most fraudsters do with their stolen funds?

Accounting
Q

In general, has the double taxation burden increased or decreased following the enactment of the...

Accounting
Q

How does a company decide which costs to capitalize when purchasing fixed assets? Thinking ahead...

Accounting
Q

11. Which of the following describes offshoring? A. Laying off all employees working in a...

Accounting
Q

Bailey Chance has a successful career in the finance field. In her spare time, she...

Finance