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
nikdorinn [45]
3 years ago
5

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

lowing data have been gathered. Downtown Store North Mall Store Sample size 25 20 Sample mean $9 $8 Sample standard deviation $2 $1 A 95% interval estimate for the difference between the two population means is a. .071 to 1.929. b. 1.09 to 4.078. c. 1.078 to 2.922. d. .226 to 1.774.
Mathematics
1 answer:
Julli [10]3 years ago
4 0

Answer:

0.071,1.928

Step-by-step explanation:

                                                Downtown Store   North Mall Store

Sample size   n                             25                        20

Sample mean \bar{x}                         $9                        $8

Sample standard deviation  s       $2                        $1

n_1=25\\n_2=20

\bar{x_1}=9\\ \bar{x_2}=8

s_1=2\\s_2=1

x_1-x_2=9-8=1

Standard error of difference of means = \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}

Standard error of difference of means = \sqrt{\frac{2^2}{25}+\frac{1^2}{20}}

Standard error of difference of means = 0.458

Degree of freedom = \frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}

Degree of freedom = \frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = (x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)

Confidence interval = 1-(2.0280)\times 0.458,1+(2.0280)\times 0.458

Confidence interval = 0.071,1.928

Hence Option A is true

Confidence interval is  0.071,1.928

You might be interested in
one superstar pizza feeds 4 people. if you invite 42 people to your party how many pizzas should you order?​
erica [24]
Answer: 11 because I don’t even know
5 0
3 years ago
In September 1997, the average cost for 1 gallon of home heating oil in New York City was $1.192 per gallon. By September 2008,
julsineya [31]

Answer:

250%

Step-by-step explanation:

Divide 4.173 by 1.172 which equals 3.5.

Then subtract 3.5 and 1 gallon which equals 2.5.

Last, multiply 2.5 by 100 and get 250%.

3 0
2 years ago
What is 7x-6=22<br> A 4<br> B 5<br> C 16<br> D 11
stepladder [879]
Answer: 7x=22+6, 7x=28, x=4
5 0
3 years ago
Last year, Columbia County's event hall was used for 27 wedding receptions and 33 anniversary parties. This year it was used for
lora16 [44]

Answer:last year

Step-by-step explanation:

Last year, Columbia County's event hall was used for 27 wedding receptions and 33 anniversary parties. Therefore, the ratio of wedding receptions to anniversary parties last year is 27/33 = 0.82

This year it was used for 32 wedding receptions and 45 anniversary parties. Therefore, the ratio of wedding receptions to anniversary parties this year is 32/45 = 0.71

Therefore last year, the event hall used for a higher ratio of wedding receptions to anniversary parties.

5 0
3 years ago
The length of one diagonal of a rhombus is 16 cm. The area of the rhombus is 144 cm squared. What is the length of the other dia
Ahat [919]

Answer:

The other length is 9cm

Step-by-step explanation:

Area of rhombus is Base x height

Base is one length

Height is another

A = bh

144 = 16h

h = 144/16 = 9cm

7 0
3 years ago
Other questions:
  • Write an equation of a line that is perpendicular to the line 2x-3y+15=0
    12·1 answer
  • What is the effect on the figure k &gt; 1 show your work please thankssss
    15·2 answers
  • Please help me. Thnx
    11·1 answer
  • Which would result in the largest amount of money?!
    14·2 answers
  • The dimensions of a rectangle are 2x - 5 and 2x - 5. Which expression represents the area of the rectangle in simplest terms?
    6·1 answer
  • Nate's weekly pay increased from $710 to $770. Which of the following is closest to the
    5·1 answer
  • The ratio equation used to find percent is...
    6·1 answer
  • Pick one marble out of a bag. Then, without replacing the marble, pick another marble. **Hint: Is order important here? ** **
    10·1 answer
  • The weight of two bags is 24/15kg . If the weight of one bag is 10/15. What will be the weight of other bag?
    5·1 answer
  • If there are 75 tickets in the dinner out<br> raffle, then how many total tickets are there?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!