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zimovet [89]
3 years ago
14

A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, h

e guesses that the standard deviation of the population of weight losses is about 10 pounds. How large a sample should he take to estimate the mean weight loss to within 2 pounds, with 90% confidence?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

Answer:

68

Step-by-step explanation:

To get the sample size of the population, we will use the formula for calculating the standard error of the mean. This is expressed as;

SE = zσ/√n

z is the z score at 90% confidence

σ is the standard deviation

n is the sample size

SE is the mean weight loss

Given

z = 1.645

σ = 10

SE = 2

Required

sample size n

Substitute into the given equation;

SE = zσ/√n

2 = (1.645)(10)/√n

2 = 16.45/√n

√n = 16.45/2

√n = 8.225

n = (8.225)²

n = 67.650625

Hence the total sample should be about 68

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grandymaker [24]

density = mass / volume

so d= 120g / 200cm^3

d=0.6 g /cm^3

7 0
2 years ago
Gas in Germany cost 1.50 euros per liter. how much is this in dollars per gallon
SIZIF [17.4K]
To solve this problem, you will have to first find how many US Dollars are in 1 Euro. Upon looking this up, I see that currently 1 Euro is worth 1.23 US Dollars. Next, you must calculate how many liters are in a gallon. Looking this up shows that 1 liter is equal to 0.264 gallons.

Since 0.264 is not a whole gallon and we are asked to find the price per gallon, we should next calculate how many liters can fit in a gallon. To do this, we will divide 1 by 0.264, which gives us 3.78. This tells us that 3.78 liters will fit into a gallon.

The cost of 1L of gas in euros is 1.50 Euros. Since we need 3.78L to equal 1 gallon, we can calculate the cost of this to be:

3.78 * 1.50 = €5.67

Earlier we determined that 1 euro is worth 1.23 US Dollars. Our final step is to convert our €5.67 per gallon to dollars per gallon. To do this, we simply have to multiply 5.67 by 1.23. This gives us $6.97.


So, our answer is that the cost is $6.97 per gallon.




Hopefully this is correct and makes sense to you. This is how I would approach the question.


3 0
3 years ago
01.02)V 196ind the answer to V48 and select the correct answerational or irrational?8 21, irrationalsv 3, irrational
scoray [572]
Simplifying √196 before doing the multiplication:
( √196 ÷ 7 ) × √48
= ( (√4 × √49) ÷ 7 ) × √48
= ( (2 × 7) ÷ 7 ) × √48
= 2√48
Simplifying √48:
= 2 × √16 × √3
= 2 × 4 × √3
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6 0
3 years ago
A cylindrical milk storage tank needs to be built to hold 84.78 cubic feet of milk. The foundation for the tank has already been
Romashka [77]

Answer:

3 or 2.999 (probably 3)

Step-by-step explanation:

So the volume of a cylinder =  πr^2 * h

h = height

r = radius

now we know the radius. Leaving us with a simple equation which is:

π*9*h = 9π*h = 84.78 =

π*h = 9.42

h = 9.42 / π = 2.99847912785......

but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.

Reference my work if you're are confused, however, it's really messy so sorry about that.

8 0
2 years ago
Tell me the coordinates to <br> Y= 4/5x - 7.
RSB [31]

Answer:

the pic shows the coordinates

7 0
3 years ago
Read 2 more answers
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