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
likoan [24]
3 years ago
11

The Great Eagles of the Misty Mountains wish to estimate the mean number of orcs per raiding party. To do so, they measure the n

umber of orcs in 13 raiding parties. They find an average of 85 orcs per party with a standard deviation of 7.8 orcs in their sample. Compute the 99% confidence interval about the mean number of orcs per raiding party. Answer with the Upper Bound only.
Round to 2 decimal places, as needed.
Mathematics
1 answer:
Anestetic [448]3 years ago
7 0

Answer:

The Upper Bound of the 99% confidence interval about the mean number of orcs per raiding party is of 106.83 orcs per party.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution 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 = 13 - 1 = 12

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 3.0545

The margin of error is:

M = T*s = 3.0545*7.8 = 23.83

In which s is the standard deviation of the sample.

The upper end of the interval is the sample mean added to M. So it is 83 + 23.83 = 106.83 orcs per party.

The Upper Bound of the 99% confidence interval about the mean number of orcs per raiding party is of 106.83 orcs per party.

You might be interested in
Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-
MakcuM [25]

Option C

The simplified form of given expression is 4.46 \times 10^{-4}

<em><u>Solution:</u></em>

Given that we have to simplify the expression shown below

0.00048 - (3.4 \times 10^{-5})

Let us first convert 0.00048 to scientific notation

<em><u>Steps to follow:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

0.00048 = 4.8 \times 10^{-4}

So the given expression becomes,

\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}

Let us make the exponent of second term as -4

\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}

Take 10^{-4} as common term,

\rightarrow 10^{-4} (4.8 - 0.34)

\rightarrow 4.46 \times 10^{-4}

Thus option C is correct

7 0
3 years ago
Can someone please help me?
omeli [17]

Answer:

The answer would be Part F

8 0
2 years ago
Heeelp will give brainliest
ozzi

Answer:

42*7

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
An initial population of 415
slamgirl [31]

Answer:

The exponential function to model the duck population is:

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

Step-by-step explanation:

In order to calculate the duck population you can use the formula to calculate future value:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:

f(n)=415*(1+0.32)^n

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

3 0
3 years ago
Multiply<br> 3x( 4x – 3x+5)
Daniel [21]

Answer:

The answer is 3x^(2)+15x

7 0
3 years ago
Read 2 more answers
Other questions:
  • 75,000 live bacteria are present in a culture in a flask. When an antibiotic is added to the culture, the number of live bacteri
    10·1 answer
  • What is 2 yards minus 1 1/2?
    12·1 answer
  • Can anyone help me please
    11·1 answer
  • (radical) √450 estimated to the nearest hundredth
    7·2 answers
  • Charles rode 15 miles on his bicycle in 2.5 hours . barb rode her bicycle 8 miles in 1.5 hours at what rate fid Charles ride,in
    11·1 answer
  • The length of a rectangle is 1m more than twice its width, and the area of the rectangle is 66m2. Find the dimensions of the rec
    6·1 answer
  • Can u help me with my work don’t send a link !!
    9·1 answer
  • Need an answer QUICK pls help
    14·1 answer
  • Help me please hurry
    15·2 answers
  • Maple grove wants to include two types of maple trees the namesake of the city for their parks. Two varieties cost $80 per tree
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!