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denis23 [38]
3 years ago
15

A market research company wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confiden

ce interval with an error of no more than 0.08. A consultant has informed them that a previous study found the mean to be 7.3 energy drinks per week and found the standard deviation to be 0.7. What is the minimum sample size required to create the specified confidence interval
Mathematics
1 answer:
mash [69]3 years ago
7 0

Answer: 126 samples

Step-by-step explanation:

Given that :

Standard deviation (σ) = 0.7

Mean (m) = 7.3

Error (E) = 0.08

α = 80%

The sample size n can be obtained using the relation :

n = [(Zcrit * standard deviation) / Error]^2

The Zcritical at 80% = 1.282

Hence,

n = ((1.282 * 0.7) / 0.08)^2

n = (0.8974 / 0.08)^2

n = 11.2175^2

n = 125.83230625

n = 126

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The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents t
Gekata [30.6K]

Answer:

A. 7 in.

Step-by-step explanation:

We have been given that the perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle.

We know that perimeter of rectangle is 2 times the sum of width and length of rectangle.

\text{Perimeter}=2(l+w)

\text{16 in}=2(l+w)

\frac{\text{16 in}}{2}=\frac{2(l+w)}{2}

\text{8 in}=l+w

To be a rectangle length cannot be 8 as length and width of the rectangle is 8 inches.

Therefore, 7 inches the possible value for the length of the rectangle.

5 0
3 years ago
Помогите математика !!!!!!
ohaa [14]

Answer:

sorry say nice its out of understand

4 0
3 years ago
A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable
docker41 [41]

Answer:

The answer is below

Step-by-step explanation:

Let Y represent the profit per day, and x represent the number of bar sold per day. Hence:

Y = 0.25x - 2

a) The mean is given as:

\mu_y=E(Y)=E(0.25X-2) = 0.25E(X)-2\\\\But\ E(X)=mean\ of\ machine=125. Hence:\\\\E(Y)=0.25(125)-2=29.25\\\\E(Y)=\$29.25

b) The standard deviation of y is:

\sigma_y=var(0.25X-2)\\\\\sigma_y=0.25\sigma(X)\\\\but\ \sigma_X=7,hence:\\\\\sigma_y=0.25(7)=1.75\\\\\sigma_y=\$1.75

6 0
3 years ago
A family of four want to go to Cat Island.But their boat only can fit two individuals if they are BOTH children. How do all four
oksian1 [2.3K]
Im not sure but maybe 1 adult and one child but im not sure if this is a trick question

5 0
3 years ago
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In the fallowing diagram, it is shown that mEHG is a right angle, mEHF = x+ 1 and mGHF = 5x+5. Find the value of x, the numerica
GalinKa [24]

Answer:

x = 14

EHF = 15 degree  GHF = 75 degree  

Step-by-step explanation:

(x+1) + (5x+5) = 90

(x+5x)+ (1+5) = 90

6x + 6 = 90

6x = 90-6

6x = 84

x = 84/6

x = 14

EHF + GHF = 90 degree

EHF = x+1

       = 14 + 1 = 15

       = 15 degree

GHF = 5x+5

        = 14 x  5 (+5) = 70 + 5

        = 75 degree

EHF = 15 degree  GHF = 75 degree  

4 0
3 years ago
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