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
DerKrebs [107]
3 years ago
7

A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 85% confidence in

terval with an error of no more than 0.06. A consultant has informed them that a previous study found the mean to be 7.6 soft drinks per week and found the variance to be 0.81. What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.
Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0

Answer:

The minimum sample size is 1867 observations.

Step-by-step explanation:

We need to construct an 85% confidence interval that has an error less than 0.06. It means that the difference between the upper limit (UL) and the lower limit (LL) has to be 0.06.

UL-LL= e =0.06

UL-LL= e =0.06\\X+z*s/\sqrt{n} -(X-z*s/\sqrt{n}) = e\\2*z*s/\sqrt{n}=e\\

The only variable we can adjust is the number of observations (n)

2*z*s/\sqrt{n}=e\\\\\sqrt{n}=\frac{2*z*s}{e}\\\\ n=(\frac{2*z*s}{e})^{2}=\frac{4*z^{2} *s^{2} }{e^{2} }

For a 85% confidence interval, the z-score is 1.440.

The estimated variance (s^2) is 0.81.

The error e is 0.06.

n= 4*(1.440)^{2} *0.81/(0.06)^{2} \\\n=4*2.0736*0.81/0.0036= 6.7184 / 0.0036 = 1866.24

The sample has to be at least of 1867 observations.

You might be interested in
muhammad, a shipping and receiving clerk uses 1 yard, 2 feet and 4 inches Of twine to wrap each carton he packs. he has to pack
antiseptic1488 [7]

Answer:

<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>

Step-by-step explanation:

Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.

<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.

So,  1 yard, 2 feet and 4 inches =[(1*36)+(2*12)+4]inches = 64 inches.

That means, he uses 64 inches of twine to wrap each carton.

He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u>  =(64*29) inches= 1856 inches.

Now....

1856 inches

=\frac{1856}{36} yards \\ \\= 51 \frac{5}{9} yards \\ \\= 51 yards+(\frac{5}{9}*36)inches \\ \\= 51 yards, 20 inches \\ \\= 51 yards, (12+8)inches \\ \\=51 yards, 1 foot, 8 inches.

Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.

8 0
3 years ago
The number 28 please somebody help me...
MArishka [77]
Where is the persons info
8 0
3 years ago
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If
makvit [3.9K]

Answer: speed is  540 km/h

Step-by-step explanation:   Lets mark speed as v.

Because distenace is same, you can mark   6 h · 900 km/h = 10 h · v

and v = 5400 km / 10 h = 540 km/h.

Or using inverse proportions :   10 h / 6 h  =  v / 900 km/h  .

Before multiplying you turn lastproportion around :

10 h / 6 h = 600 km/ h / v   ,which gives   10 v = 6 · 900 km/h

and result is same

3 0
3 years ago
The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?
mezya [45]

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

4 0
3 years ago
betty has 15 less than triple the number of points that jennie has. Write an expression to find how many points betty 1. has??
Troyanec [42]
3x - 15

less than or more than trick-------> the number before those words should be the second number in the equation
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which solid figures are best for construction? Explain why
    7·2 answers
  • A car leaves Orlando, FL and travels east toward West Palm Beach. The
    8·2 answers
  • Un vendedor de frutas tiene cierto número de mangos, vende 3/5 de ellos más dos mangos; luego vende 1/3 de los restantes más dos
    13·1 answer
  • Clinton has a spinner labelled orange, blue, green and pink. He spins the spinner 100 times. He gets orange 33 times. What the e
    14·2 answers
  • The slope of M'N' is ?
    13·1 answer
  • Which of these characteristics do a rhombus and a rectangle always have in common?
    8·2 answers
  • Help ASAP Please with this math problem. Just look at the picture. ​
    10·1 answer
  • Writing funtion rules
    8·1 answer
  • What is 14 times 10 to the power of -7 in scientific notation
    6·1 answer
  • A number y cubed plus x squared decreased by 7
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!