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
olganol [36]
3 years ago
5

A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and select

s a random sample of 101 Dalmatian birth records. He examines each birth record and identifies the number of puppies that were born in the litter. The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter and a standard deviation of 2.1 puppies per litter. He would like to estimate, with 99% confidence, the mean number of puppies born per litter for all Dalmatian births. Which of the following is the correct interval?
a. 6.2 ± 2.576(0.21)
b. 6.2 ± 2.576(2.1)
c. 6.2 ± 2.626(0.21)
d. 6.2 ± 2.626(2.1)
e. The confidence interval
Mathematics
1 answer:
podryga [215]3 years ago
5 0

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.626

The confidence interval is:

\overline{x} \pm M

In which \overline{x} is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that \overline{x} = 6.2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

\overline{x} \pm M = 6.2 \pm 2.626(0.21)

And the correct answer is given by option c.

You might be interested in
Kiley spent $20 on rides and snacks at the state fair. If x is the amount she spent on rides, and y is the amount she spent on s
IgorLugansk [536]
Both linear and proportional because as x increases y decreases at the same rate
5 0
3 years ago
Due to a leak, the amount of water in a pool is decreasing by 5858 gal every hour.
Dafna1 [17]
Here is the solution to the given problem above.
Given the the amount of water in a pool is decreasing 5/8 gallon every hour.
And what would be the change in the number of gallons after 3/4 hour. So what we are going to do is just to multiply 5/8 by 3/4. And the result would be 15/32. The total change in the number of gallons of water in the pool after 3/4 hour would be 15/32 gallons.
4 0
3 years ago
Which is true about the polynomial –8m3 + 11m?
Mumz [18]

Answer:

b) It is a binomial with a degree of 3.

Step-by-step explanation:

We need to find about which is true about the polynomial –8m3 + 11m from the given choices.

There are two terms so it is binomial.

Highest exponent on variable m is 3 so degree is 3.

Correct matching choice is "It is a binomial with a degree of 3."

Hence final answer is choice "b) It is a binomial with a degree of 3."


4 0
3 years ago
Read 2 more answers
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhi
Zina [86]

Answer:

ahfjajsjdjadkfjfjakskhsk

6 0
2 years ago
Need help with finding the surface area and volume for this please thanks I just need step by step help so I can understand it m
Allisa [31]

Answer:

144

Step-by-step explanation:

First, do the top and bottom. The top is 2*4*3 or 24, and the bottom is 6*4 or 24.

Now, do the sides. It is a staircase that you can split into 6 2x2 blocks, or 6*4=24. Do the same with the other side to get 24 again.

Now for the front and back. This is 2*4*3 and 6*4 again, or 24 and 24.

Now you have 6 24's so just multiply these and get 144.

6 0
3 years ago
Other questions:
  • Awaste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hol
    9·1 answer
  • I really need help please
    5·1 answer
  • A rectangular prism is 10 meters long 4 meters wide and 5 meters tall what is its volume
    14·2 answers
  • NEED HELP PLEASEE
    11·1 answer
  • Using the distributive property how can I rewrite the expression 4*24
    8·1 answer
  • A survey showed that 35% of the students prefer plain white milk over chocolate milk. If the school has 1200 students. How many
    6·1 answer
  • 25 POINTS!! PLEASE HELP!
    15·1 answer
  • What are the features of the function f(x) = –2 (2)x + 4 graphed below?
    9·1 answer
  • g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G
    15·1 answer
  • 6. Samantha works twice as many hours per week as Adriana. Together they work a total of 39 h one week. a) State how you will as
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!