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A consumer advocate wants to collect a sample of jelly jars and measure the actual weight of the product in the container. He needs to collect enough data to construct a confidence interval with a margin of error of no more than 3 grams with 95% confidence. The standard deviation of these jars is usually 3 grams. Estimate the minimum sample size required.

Answers

Answer 1

Answer:

Answer:

n=3.8416≅4

So Minimum Sample Size is 4

Step-by-step explanation:

In order to find the minimum sample size, the formula we use will be:

$n= (Z^2*S^2)/(E^2)$

Where:

n is sample size

Z is the distribution

S is the standard deviation

E is the Margin of error

S=3 ,E=3

For Z:

Alpha=1-0.95=0.05

Alpha/2=0.025=2.5%

From Cumulative Standard Distribution Table:

Z at Alpha/2 = 1.960

$n= (1.960^2*3^2)/(3^2)$

n=3.8416≅4

So Minimum Sample Size is 4

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Identify the recursive formula for the sequence 900, 850, 800, 750,…

Answers

The recursive formula for the given sequence as required in the task content is; f(n) = f (n - 1) - 50.

What is the recursive formula for the given sequence?

It follows from the task content that the recursive formula for the given sequence is to be determined.

By observation, the sequence is an arithmetic progression and the common difference, d can be evaluated as;

d = 750 - 800 = 800 - 850 = 850 - 900 = -50

Also, since the recursive formula for an arithmetic sequence takes the form;

f(n) = f (n - 1) + d.

Hence, since the recursive formula as required is;

f(n) = f (n - 1) - 50.

Answers

The expression that represents the elevation is 5,776-(-9)=5,785.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that at its highest point, the elevation of a county is 5,776 feet above sea level. At its lowest point, the elevation of the county is 6 feet below sea level.

The expression will be generated by subtracting the two heights.

5,776-(-9) = 5,785.

Therefore, the expression that represents the elevation is 5,776-(-9)=5,785.

To know more about an expression follow

brainly.com/question/878985

#SPJ2

Answer:

5,776-(-9)

positive

5,785

Step-by-step explanation:

Write an integer that represents the elevation of a county feet below sea level.

Every day, you take the elevator from the basement parking lot that is at level-3. The elevator takes twoseconds per level and you find that it takes 46 seconds to reach your floor.
Which floor do you live on?

Answers

23 is the floor which you live on

What is the approximate circumference of a circle with a radius of 3 centimeters?

Answers

1.5 I think would be the correct answer not sure

(a^3 / 4)^2
Simplify

Answers

Well, you can change this to (a^3/4)(a^3/4), which is equal to a^6/16, because a^3 times a^3=a^6, and 4 times 4=16.
I hope this helps!
-Raiden

Multiply the exponents in (a^3/4)^2 =a^3/2 simplified

5. The length of similar components produced by a company are approximated by a normal distribution model with a mean of 5 cm and a standard deviation of 0.02 cm. If a component is chosen at random a) what is the probability that the length of this component is between 4.98 and 5.02 cm

Answers

Answer:

the probability that he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)

Step-by-step explanation:

Since the random variable X= length of component chosen at random , is normally distributed, we can define the following standardized normal variable Z:

Z= (X- μ)/σ

where μ= mean of X , σ= standard deviation of X

for a length between 4.98 cm and 5.02 cm , then

Z₁= (X₁- μ)/σ = (4.98 cm - 5 cm)/0.02 cm = -1

Z₂= (X₂- μ)/σ = (5.02 cm - 5 cm)/0.02 cm = 1

therefore the probability that the length is between 4.98 cm and 5.02 cm is

P( 4.98 cm ≤X≤5.02 cm)=P( -1 ≤Z≤ 1) = P(Z≤1) - P(Z≤-1)

from standard normal distribution tables we find that

P( 4.98 cm ≤X≤5.02 cm) = P(Z≤1) - P(Z≤-1) = 0.841 - 0.159 = 0.682 (68.2%)

therefore the probability that he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)

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