1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ella [17]
3 years ago
5

In order to estimate the average electricity usage per month, a sample of 125 residential customers were selected, and the month

ly electricity usage was determined using the customers' meter readings. Assume a population variance of 12,100kWh2. Use Excel to find the 98% confidence interval for the mean electricity usage in kilowatt hours. Round your answers to two decimal places and use ascending order.
Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

[895.05; 940.81]kWh

Step-by-step explanation:

Hello!

Be X: monthly electricity usage by a residential customer

X~N

σ²: 12100KWh²

To estimate the population mean using a 98% CI you have to use the following formula

[X[bar]±Z_{1-\alpha /2} * \frac{Sigma}{\sqrt{n} }]

1-α: 0.98

α0.02

α/2: 0.01

1-α/2:0.99

Z_{1-\alpha /2}= Z_{0.99}= 2.326

n= 125

X[bar]= ∑X/n= 228565/125= 917.93

[917.93±2.326 * \frac{110}{\sqrt{125} }]

[895.05; 940.81]

Using a 98% confidence level you'd expect that the interval [895.05; 940.81]kWh will include the average monthly electricity usage of residential customers.

I hope this helps!

Raw data:

Electric Usage

765

1139

714

687

1027

1109

749

799

911

631

975

717

1232

806

637

894

856

896

1272

1224

621

606

898

723

817

746

933

595

851

1027

770

685

750

1198

975

678

1050

886

826

1176

583

841

1188

692

733

791

584

1163

593

1234

603

1044

1233

1178

598

904

778

693

590

845

893

1028

975

788

1240

1253

854

1185

1164

741

1058

1053

795

1198

1240

1140

959

938

1008

1035

1085

1100

680

1006

977

1042

1252

943

1165

1014

912

791

612

935

864

953

667

1005

1063

1095

1086

810

1032

970

1099

1229

892

1074

579

754

1007

1116

583

763

1231

966

962

1132

738

1033

697

891

840

725

1031

You might be interested in
Which table correctly lists the three solutions for the equation 5x + y = 14?
Alja [10]

Answer:

a optionis a correct answer

3 0
2 years ago
An olive press produces 6 2/3 gallons of oil in 32 minutes. At this rate, how many gallons of olive oil will be produced in 1 ho
hjlf
ANSWER: A.3.6 GALLONS
8 0
3 years ago
Use the grouping method to factor the polynomial below completely 3x^3+9x^2+5x+15​
Tomtit [17]

Answer:

(x+3)( 3x^2 +5)

Step-by-step explanation:

3x^3+9x^2+5x+15​

Split into two groups

3x^3+9x^2     +5x+15​

Factor 3x^2 out of the  first group and 5 out of the second group

3x^2 ( x+3)  + 5(x+3)

Factor out x+3

(x+3)( 3x^2 +5)

6 0
3 years ago
Prove that if a is a natural number, then there exist two unequal natural numbers k and l for which ak−al is divisible by 10.
EastWind [94]
Assume a is not divisible by 10. (otherwise the problem is trivial). 
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
8 0
3 years ago
Read 2 more answers
What is probability of P(5)?m
olganol [36]
P(A) means "Probability of Event A" The complement is shown by a little mark after the letter such as A' (or sometimes Ac or A): P(A') means "Probability of the complement of Event A" The two probabilities always add to 1.
8 0
3 years ago
Other questions:
  • Predict the value of 27 1/3?
    9·1 answer
  • Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to
    14·2 answers
  • I have a 5. In my ones place.The digit in my tens place is. 3 plus the digit in my ones place.The digit in my. Hundreds place is
    15·1 answer
  • For which conditions is p v q false? (A) p is true and q is false (B) P is true and q is true. (C) p is false and q is false (D)
    9·1 answer
  • Segment Side A E is 7 inches and Side A H is 7 StartRoot 3 EndRoot inches. What is the length of Side E H? Round to the nearest
    8·2 answers
  • If we have a conversion factor given to us in a fraction form that cannot be represented as an easy decimal, what can we do?
    12·2 answers
  • ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
    12·2 answers
  • PLEASE, SOMEONE, HELP ME QUICK I WILL GIVE YOU BRAINLIEST
    10·2 answers
  • (x+4)^2 - (x-6)^2 - (x-1)*(x+1)
    8·1 answer
  • Help find X:_,_ Y:_,_
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!