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
jasmine bought 7 yards of fabric. The total cost was $45.43. What was the average cost per yard of the fabric she bought
torisob [31]
The answer would be $6.49.
4 0
3 years ago
How to determine if bacteriostatic or bactericidal?
kaheart [24]
The way to determine bacteriostatic or bacterial is by using a micorscope
4 0
3 years ago
The product of two numbers is 48. The first number is negative, and the second number is four more than twice the first number.
aksik [14]
First number is a and second one is 2a+4
a(2a+4)=48
a(a+2)=24
a^2+2a-24=0
(a+6)(a-4)=0
the question says a is negative so a=-6 b=-8
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=3x%20%7B%20%7D%5E%7B2%7D%20%20%3D%20%20-%2054%20" id="TexFormula1" title="3x { }^{2} = - 54
valkas [14]

Answer:

No real solutions

Step-by-step explanation:

Divide both sides by 3

3x^3/3=-54/3

x^2=-18

Take square root

x=±√−18

4 0
3 years ago
In un rettangolo la somma delle sue dimensioni misura 154 cm e queste sono una i 5/6 dell'altra.Calcola l'area del rettangolo.
scZoUnD [109]
1043,83125      <span>Penso che sia la risposta</span>
6 0
3 years ago
Other questions:
  • Help me please ASAP
    15·2 answers
  • If a and b are positive numbers, find the maximum value of f(x)=xa(1−x)b, 0≤x≤1 Your answer may depend on a and b.maximum value
    12·1 answer
  • -10x + 3y = 34<br> y = -8x
    14·1 answer
  • Use the distributive property to remove the parenthesis: (m + 2) 3.
    15·2 answers
  • The product of two consecutive odd numbers is 1023
    13·1 answer
  • Dragonflies today have a wingspan of 6 inches. The ancestors of the dragonfly had a wingpan 5 times greater. How long was the wi
    15·1 answer
  • Two rectangles have the same area of 70m2. It is given that the length of the first rectangle is 4m longer and the width is 2m s
    12·1 answer
  • Solve 35% of 84 using the mental method
    12·1 answer
  • Write an expression for "the difference of 10 and <br> x.
    15·1 answer
  • What is the y intercept of this graph of this graph
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!