Ten samples of coal from a Northern Appalachian source had an average mercury content of 0.242 ppm with a standard deviation of 0.04 ppm. Find a 95% confidence interval for the mean mercury content of coal from this source. Round the answers to four decimal places.
Answers
Answer:
0.2172<x<0.2668
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = xbar ± (z*s/√n)
xbar is the average = 0.242ppm
z is the z score at 95% confidence = 1.96.
s is the standard deviation = 0.04pm
n is the sample size = 10
substitute the values into the formula;
CI = xbar ± (z*s/√n)
CI = 0.242 ± (1.96*0.04/√10)
CI = 0.242 ± (1.96*(0.04/3.1623))
CI = 0.242 ± (1.96*(0.01265))
CI = 0.242 ± (0.02479)
CI = (0.242-0.02479, 0.242+0.02479)
CI = (0.2172, 0.2668)
Hence a 95% confidence interval for the mean mercury content of coal from this source is 0.2172<x<0.2668.
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Which choice is the solution set for the inequality below?
twice a number and four.
Answers
The required expression for Nine less than the quotient of twice a number and four gives the equation, y =2x/4 - 9.
An expression Nine less than the quotient of twice a number and four. is to be determined.
What is simplification?
The process in mathematics to operate and interpret the function to make the function simple or more understandableis called simplify and the process is called simplification.
The quotient is the result when one value gets divided by some other value.
Using simple arithmetic,
Let the number be x,
A number y is equal to nine less than the quotient of twice of x and four. So,
y = quotient of 2x and four - 9
y = 2x/4 - 9
Thus, the required expression for Nine less than the quotient of twice a number and four gives the equation, y =2x/4 - 9.
Learn more about simplification here: brainly.com/question/12501526
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Answer:
-1
Step-by-step explanation:
Twice a number of 4 equals 8
4×2=8
less than 9 of the quotient (answer) of twice a number of 4, is -1
8-9= -1
2. Compute the value of the test statistic. z=______
3. Determine the critical value(s).
4._________ the null hypothesis. At the 10% significance level, the data____________sufficient evidence to conclude that adult females are ___________ the RDA of iron, on average.
Answers
Answer:
Step-by-step explanation:
Given that the recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. The given iron intakes (mg) were obtained for 45 random adult females.
1)
(left tailed test at 10% sigl level)
Mean difference = -3.35
2) Test statistic Z = Mean difference/std error =-5.35
3) Critical values are -1.28
Since critical value is > test statistic accept H0
4) ___Fail to reject______ the null hypothesis. At the 10% significance level, the data_____shows_______sufficient evidence to conclude that adult females are ____equal to 18 mg_______ the RDA of iron, on average.
Answers
Answer:
2 8/115
Step-by-step explanation:
Answers
Answer:
part A - 256 stickers
part B - 8 stickers each
Step-by-step explanation:
hope this helps
Answer:
a) 256
b) 8
Step-by-step explanation:
a) as it says in the question, each box contains 64 stickers. Mrs Kim bought 4 boxes , so she has 4 times more than a single box (64 stickers)
The calculation is simple: 64 x 4, which equals 256
b) If there are 256 stickers all-together and she has 32 people to share them equally with, you have to divide 256 by 32 to see how many stickers each person will get:
256 ÷ 32 = 8
an equation which can be used to determine x, how much each bottle of juice costs?
Answers
Answer:
1.19
Step-by-step explanation:
Answers
Answer:
x=0
Step-by-step explanation:
Distribute -4
-8x - 24 = -24
Add 24 to both sides
-8x = 0
x=0
Answer:
x=0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−4(2x+6)=−24
(−4)(2x)+(−4)(6)=−24(Distribute)
−8x+−24=−24
−8x−24=−24
Step 2: Add 24 to both sides.
−8x−24+24=−24+24
−8x=0
Step 3: Divide both sides by -8.
−8x
−8
=
0
−8
x=0
Answer:
x=0