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
sweet [91]
3 years ago
13

The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean an

d the standard deviation were 110 mg and 7.1 mg respectively. Use the data to construct a 98% confidence interval for the mean caffeine content for cups dispensed by the machine. Interpret the interval!
Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

 We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,  

Standard deviation(\sigma) = 7.1

Mean \overline{(y)} = 110

\alpha = 1 - confidence interval = 1 - .98 = .02

z_{\frac{\alpha}{2}} = 2.33

98% confidence interval for the mean caffeine content for cups dispensed by the machine = \overline{(y)}\pm z_{\frac{\alpha}{2}}\frac{\sigma}\sqrt{n}

                     = 110\pm z_{.01}\frac{7.1}\sqrt{50}

                      = 110\pm 2.33\frac{7.1}\sqrt{50}

       First we take  + sign

   110 +  2.33\frac{7.1}\sqrt{50} = 112.34

now  we take  - sign

110 -  2.33\frac{7.1}\sqrt{50} = 107.66

 We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .

               

You might be interested in
A soccer team won 62% of their games. How many did they win if they payed 50 games?
Varvara68 [4.7K]

Answer:

31

Step-by-step explanation:

50 x .62= 31

(games played) x the percentage won.

You could muliply 50 by 62% if your calculator has the % symbol if not you have to turn it into a decimal. To go from percent to decimal just take your percentage and move the decimal to the left twice. 62% = .62

8 0
2 years ago
Which of the following are techniques you have learned so far for solving a quadratic equation?
Usimov [2.4K]
On plato it is A AND B.

6 0
3 years ago
What’s this i forgot how to do it
Mumz [18]
X and y intercepts. So x intercept is where y=0 and y intercept is where x=0. Also positive or negative meaning where y>0 (positive) and where y<0 (negative). Use these hints to do it. If you can’t then just let me know...
4 0
2 years ago
Count the left handed and right handed spirals on the cacti in the photograph you should get two consecutive terms of the Fibona
lana [24]
You can count the spirals because they are coloured.

The left handed spirals are in red and you can count 13.

The rifht hanged spirals are in yellow and you can count 21.

Fibonacci sequence is: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... From 2 the next number is the sum of the two previous numbers:

2 = 1 + 1

3 = 2 + 1

5 = 3 + 2

8 = 5 + 3

13 = 8 + 5

21 = 13 + 8.

Fibonacci numbers are found in many structures in nature.

We have just found that these cacti enclose Fibonacci numbers 13 and 21.

Answer: 13 and 21
8 0
3 years ago
If Marie has twice as much money as Tim,who has three times as much as William, what is the ratio of the amount of money William
Goryan [66]
The answer is B) 1:6. If William has $1, Tim has 3 times as much, which means Tim has $3. Marie has 2 times as much as Tim which means she has $6. The ratio would be 1:6 William Marie.
5 0
2 years ago
Read 2 more answers
Other questions:
  • a rectangular prism with a volume of 288 cubic inches has a base area of 72 square inches. how tall is the prism?
    9·1 answer
  • Which ordered pair is a solution to the system of inequalities?
    13·2 answers
  • What value of s makes the equation true? 14s−4−23s=5
    6·1 answer
  • 3/11 divided by 2/9 equals what
    15·2 answers
  • An 85-foot rope from the top of a tree house to the ground forms a 45 degree angle of elevation from the ground. How high is the
    5·1 answer
  • Identify the center and radius of each. Photo attached.
    11·1 answer
  • To create a histogram which set of intervals would be the most appropriate to split the following data set? 120, 133, 134, 125,
    10·1 answer
  • The managers of an airline analyzed a random sample of flights and found that 48 out of 50 were on time. The airline has 450 fli
    10·1 answer
  • What is this answer? I have no idea. pls help :( will give brainliest
    6·1 answer
  • 434 units minute = unit hours
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!