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
vagabundo [1.1K]
3 years ago
6

The average annual cost of the first year of owning and caring for a large dog is $1,843 (US News and World Report, September 9,

2013). The Irish Red and White Setter Association of America has requested a study to estimate the annual first-year cost for owners of this breed. A sample of 50 will be used. Based on past studies, the population standard deviation is assumed known with σ ? = $255. a. What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for this breed (to 2 decimals)? b. The DATAfile Setters contains data collected from fifty owners of Irish Setters on the cost of the first year of owning and caring for their dogs. Use these data sets to compute the sample mean (to 2 decimals). Using this sample, what is the 95% confidence interval for the mean cost of the first year of owning and caring for an Irish Red and White Setter (to 2 decimals)?
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0

Answer:

a. Error is 0.14

b. between 1913.68 to 1772.32

Step-by-step explanation:

Requirement a)

The margin of error is a statistic expressing the amount of random sampling error in a survey's results.

Given,

Size of the sample n = 50

We know, At 95% confidence interval,

The margin of error,

= 0.98/√n  

= 0.98/√50

= 0.98/7.07

= 0.13859 ~ 0.14

So the margin of error at 95% confidence level is 0.14.

Requirement b)

Given,

Standard deviation σ = 255

Population mean z = 1814

Size of the sample n = 50

We know, At 95% confidence interval,

(z-µ)/(σ/√n)  < Z_0.05

= - Z_0.05 < (z-µ)/(σ/√n) < Z_0.05

= - 1.96 * σ/√n < (z-µ)/(σ/√n)*  σ/√n  < 1.96 * σ/√n  [ in two tail Z test the value of Z_0.05 is 1.96 ]

= - 1.96 * 255/√50 < Z-µ <  1.96 * 255/√50

= -70.6828 < Z-µ < 70.6828

= 70.6828 > µ - Z > -70.6828

= 70.6828 + Z > µ > -70.6828 + Z

= 70.6828 + 1814 > µ > -70.6828 + 1814

=1913.68 > µ > 1772.32

So, the sample mean would be between 1913.68 to 1772.32.

You might be interested in
I will give brainliest
Ugo [173]

Answer:

8

Step-by-step explanation:

since it is a cube the all sides are equal

v=a³

512 = a³

a=³√512

a=8

the length of the rock=8

5 0
3 years ago
Pls answer me this all question correctly pls I beg you pls friends pls pls pls pls pls pls pls pls​
Andre45 [30]

Answer:

a. \: 28

b. \: 5

Step-by-step explanation:

a. \: 88 \div 3 \frac{1}{7}

88 \div  \frac{22}{7}

Multiply the numerator by the reciprocal of the denominator.

88 \div  \frac{7}{22}

4 \times 7

28

b. \: 49 \frac{2}{9}  \div 9 \frac{4}{9}

\frac{425}{9}  \div  \frac{85}{9}

Multiply the numerator by the reciprocal of the denominator.

\frac{425}{9}  \times  \frac{9}{85}

5

<h3>Hope it is helpful...</h3>
5 0
3 years ago
Directions: Find the value of x so that! | m. State the converse used
Luda [366]

Answer:

12

Step-by-step explanation:

i think that is right

3 0
2 years ago
Read 2 more answers
Please help quiz do in 50 minutes​
il63 [147K]

Answer:

hope it helps you...................

8 0
2 years ago
2x - 11 = -8x + 14<br> Simplify
Sauron [17]

Answer:

x = 2.5

Step-by-step explanation:

2x - 11 = -8x + 14

Add 8x to both sides

10x - 11 = 14

Add 11 to both sides

10x = 25

Divide both sides by 10

x = 2.5

7 0
3 years ago
Read 2 more answers
Other questions:
  • An airliner carries 100 passengers and has doors with a height of 76 in. Heights of men are normally distributed with a mean of
    14·1 answer
  • Read Picture :) Thanks!
    9·1 answer
  • The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. By what percent would th
    12·2 answers
  • Describe two methods for finding the sale price of an item that is discounted 30%. which method do you prefer? Explain.
    11·2 answers
  • Solve the equation for X.
    9·1 answer
  • Find total surface area WILL FIVE BRAINLIEST
    13·1 answer
  • What is the slope of the following line: 2y-4x=-16? For this one I got y= -8+2x. Would that mean the slope is 8?
    10·1 answer
  • Help with this word problem???? :)
    6·1 answer
  • I need help with this.<br> I need to find both A and B, I’m just lost at this point
    14·1 answer
  • SOMEONE PLEASE HELP ME AND MY FRIEND ARE DOING this right now
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!