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

Aleks04 [339]

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.

7 0

3 years ago

A company makes a profit of $1.38 million. This is $2.54 million more than last year. Write and solve an equation to find the pr

Murrr4er [49]

Then p=1.38 million-2.54 million
p= -1.16 million dollars in LOSSES last year

3 0

3 years ago

A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete t

Aleksandr [31]

Answer:

y = -190 cos(π t / 120) + 195

Step-by-step explanation:

General form of a sinusoidal function: y = A cos(Bt - C) + D

Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.

A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.

2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.

C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.

D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.

Your final function will be:

y = -190 cos(π t / 120) + 195

7 0

3 years ago

Which statement is true for the equation 4n – 3 = 4n – 2 Select one: a. It has no solution. b. It has one solution. c. It has tw

oksian1 [2.3K]

4n-3=4n-2 subtract 4n from both sides

-3=-2

Since -3!=-2, there is no solution.

So your answer is a.

7 0

3 years ago

Read 2 more answers

If y varies directly as the x^2 and y =200 when x =5 ,What is the value of y when x =-3