For employees at a large company, the mean number of overtime hours worked each week is 9.2 hours with a population standard deviation of 1.6 hours. A random sample of 49 employees was taken and the probability that the mean number of overtime hours will be at least 9.3 hours was determined. Was the probability a Left-tail, Right -tail or Interval Probability? Use a calculator to find the probability that the mean overtime hours for the sample will be at least 9.3 hours. Select the two correct answers that apply below.
Answers
Complete Question
Answer:
The probability is Right- tailed
The mean overtime hours for the sample will be at least 9.3 hours is
[tex]P(X \ge 9.3 ) = 0.3333[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 9.2 \ hours[/tex]
The standard deviation is [tex]\sigma = 1.6 \ hours[/tex]
The sample size is n = 49
The sample mean is [tex]\= x = 9.3[/tex]
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{1.6 }{\sqrt{49} }[/tex]
=> [tex]\sigma_{\= x} = 0.22857[/tex]
This is a right -tailed probability because the sample mean is greater than the population mean
Generally the probability that the mean overtime hours for the sample will be at least 9.3 hours is mathematically represented as
[tex]P(X \ge 9.3 ) =1 - P(X < 9.3 )[/tex]
So
[tex]P(X < 9.3 ) = P( \frac{ X - \mu }{ \sigma_{\= x }} < \frac{ 9.3 - 9.2 }{ 0.22857} )[/tex]
Here [tex]\frac{X - \mu }{\sigma _{\= x}} = Z[/tex]
[tex]P(X < 9.3 ) = P( Z < 0.43750)[/tex]
From the z-table
[tex]P(X < 9.3 ) = P( Z < 0.43750) = 0.667[/tex]
So
[tex]P(X \ge 9.3 ) =1 - 0.667[/tex]
[tex]P(X \ge 9.3 ) = 0.3333[/tex]
Related Questions
At an amusement park, 25 riders ride the race cars every 30 minutes and 20 riders ride the spinning swings every 20 minutes. Which ride will have more Riders each hour and how much more?
Answers
Answer:
The spinning swings would have 10 more an hour.
Answer:
5
Step-by-step explanation:
35 more
The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at.
Answers
Answer:
Step-by-step explanation:
The question is incomoplete. Here is the complete question.
The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at 5km, 20km and 100km
T(d)=10d + 20
T(5)=10(5) + 20
T(5)= 50+ 20
T(5) = 70
Hence the temperature is 70 when d = 5km
when d = 20km
T(20)=10(20) + 20
T(20)= 200+ 20
T(20) = 220
Hence the temperature is 220 when d = 20km
when T = 100km
T(100)=10(100) + 20
T(100)= 1000+ 20
T(100) = 1020
Hence the temperature is 1020 when d = 100km
The temperatures at 5km, 20km and 100km are; 70°C, 220°C, and 1020°C respectively.
The complete question requires that we find the temperature at 5km, 20km and 100km.
The temperature function is; T(d)=10d + 20
For 5km;
T(5)=10(5) + 20T(5) = 70°CFor 20km;
T(20) = 10(20) + 20T(20) = 220°CFor 100km;
T(100)=10(100) + 20T(100) = 1020°CRead more;
https://brainly.com/question/15308045
Evquivilent Ratio for 23:37
Answers
Answer:
46:74
Step-by-step explanation:
A green grocer has 180 mangoes to sell. She has to arrange them in piles of 9, 10 or 12mangoes.
In which ways would she arrange the mangoes without any remaining?
Answers
Answer:
in piles of 9,10 &12
Step-by-step explanation:
this is because if you divide 180 by each number there is no remainder hence the green grocer can arrange in any way.
It is possible to arrange the total of mangoes by using 20 piles of 9 mangoes, 18 piles of 10 mangoes, or 15 piles of 12 mangoes.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
The conditions for mangoes to be arranged are that the piles should have either 9, 10 or 12 mangoes and reminders are not allowed. This means you need to fit all the mangoes and no mangoes can be left.
Based on the conditions and the total number of mangoes (180 mangoes), here are the possibilities that you can determine using division:
9 mangoes piles: 180/ 9 = 20 piles (9 x 20 = 180 with no remainders)
10 mangoes piles: 180/10 = 18 piles (10 x 18 = 180 with no remainders)
12 mangoes piles: 180/12 = 15 piles (12 x 15 = 180 with no remainders)
Hence, It is possible to arrange the total of mangoes by using 20 piles of 9 mangoes, 18 piles of 10 mangoes, or 15 piles of 12 mangoes.
Learn more about division in
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HELP NEEDED ASAP. "ONLY ANSWER IF YOU KNOW THE ANSWER"
Solve the equation by completing the square.
x^2 + 10x= -81
Answers
Answer:
x =-5± 2i sqrt(14)
Step-by-step explanation:
x^2 + 10x= -81
Take the coefficient of x and divide by 2
10/2 = 5
Square it
5^2 =25
add to each side
x^2 + 10x+25 = -81+25
( x+5) ^2 = -56
Take the square root of each side
sqrt(( x+5) ^2) =± sqrt(-56)
x+5 = ± sqrt(-1) sqrt(4*14)
x+5 =± i sqrt(4)sqrt(14)
x+5 =± i 2 sqrt(14)
Subtract 5 from each side
x+5-5 =-5± i 2 sqrt(14)
x =-5± 2i sqrt(14)
-2•f(-6) - 7•g(-7)
Can someone please help me
Answers
Answer:
Your answer is: 12f + 49g
Simplify each term.
Step-by-step explanation:
Hope this helped : )
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Answer:
no clue
Step-by-step explanation:
A cereal box is 8 inches by 2 inches by 12 inches. What is its surface area?
Answers
Answer:
272 inches squared
Step-by-step explanation:
272 square inches.
Because (2×8×2) + (2×8×12) + (2×2×12) = 32 + 192 + 48 = 272
Simplify the following problem.
(-8+61) +(6+61)
Answers
Answer: -8+61 = 53 and 6+61 = 67
PLZ ANSWER FASTTTTT (70 POINTSSSS)
Your parents deposited $1,500 into a new college fund that will earn an annual compound interest rate of 3%. How much money will be in the account when you need it for college in 5 years? (write and use the compound interest formula)
THANK YOU!!
Answers
Answer:
$1738.91Step-by-step explanation:
Given
Deposit: P = $1500Interest rate: r = 3% = 0.03 compoundedTime: t = 5 yearsCompound number: n =1 per yearFinal amount A= ?Formula for compound interest is:
A = P(1 + r/n)^ntSubstituting values
A = 1500(1 + 0.03/1)^1*5 =1500(1.03^5) = $1738.914. There are 37 students in the class.
Each student sold 41 boxes of nuts
About how many were sold?
(A) 1000
(B
1600
(C) 2000
DI 2400
Answers
Answer:
B)1600
Step-by-step explanation:
Answer:
2000
Step-by-step explanation:
41 × 37 = 1517
Approximate 1517
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-4.2.(-9)
O –72
0 -11
O 72
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Answers
Find all zeroes of the function. Enter the real zeroes separated by commas.
Answers
Answer:
f(x)
=(x-4)[6(x^2)+23x+20]
=(x-4)(2x+5)(3x+4)
x=4,-2/5,-3/4
Peter has a part time job in factory and he can work 6 1/2 hours a day while his friend Joseph can work 1 2/3 hours more than Peter.how many hours can Joseph work more than Peter?
Answers
Given parameters:
Number of hours worked by Peter = 6.5hrs
Unknown:
Number of hours Joseph can work more than Peter =?
This problem is straight forward, the statement "his friend Joseph can work 1[tex]\frac{2}{3}[/tex]
is the solution to the problem.
Joseph can work 1[tex]\frac{2}{3}[/tex] more than Peter.
Overall, Joseph can work;
6.5hrs + 1[tex]\frac{2}{3}[/tex]hr = 8.2hrs
how can I solve this equation
49x^2 - 14x + 1 <= 0
Answers
(adding for limit)
Step-by-step explanation:
(7x)^2 - 2×7x×1 +1^2 =0
(7x-1)^2 =0
7x-1=0
7x=1
x= 1\7
Four aces in a row, then three red face cards in a row, then a red card.
Answers
Answer:
whats the question
Step-by-step explanation:
?
How do you do this question?
Answers
Answer:
dy/dx = (2t + 3t²) / (2t)
Step-by-step explanation:
y = t² + t³
dy/dt = 2t + 3t²
x = 5 +t²
dx/dt = 2t
dy/dx = (dy/dt) / (dx/dt)
dy/dx = (2t + 3t²) / (2t)
In a survey of 600 students 80 percent said they liked pop music.How many students liked pop music
Answers
Answer:
600 × .8 = 480
480 Students
Which inequality best represents the domain of the part shown
Answers
Answer:
there is no question upload it
Step-by-step explanation:
Answer:
so guess what I need some points so that's why I'm committed
Please help and please pick between a b c or d
Answers
Estimate 65 to the nesrst tenth then locate 65 on a number line
Answers
So the answer is 70
And look on the right side of the number line
Answer:
70
Step-by-step explanation:
ok so first of all you have to see if the next number is 5 you can borrow and then draw on number line between 65 and 70 that there is your answer 70
At a local festival, general admission was $3 for students and $5 for adults. 331 people came to the festival and they sold a total of $1431 tickets. How many students came to the festival?
Answers
Answer:112
Step-by-step explanation:
I did it and we doing the same test rn haha. What did you get for the grant one?
Pleas help I give brainliest ! Jejsjsjsjssjsjs
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21-28 please geometry
Answers
9514 1404 393
Answer:
21–24 and 28 are correctly marked
25: NEI; 26: ASA or LA; 27: SSS
Step-by-step explanation:
25: At least one side is required for showing congruence. In figure 25, only angles are shown congruent, so there is not enough information.
__
26: Two angles and the side between them are marked congruent. These triangles can be declared congruent by ASA. Considering they are right triangles, one could also invoke LA as the appropriate theorem.
__
27: The unmarked sides of the two outside triangles can be shown to be congruent by virtue of the fact they are opposite congruent angles in the middle triangle. Hence all three sides can be shown congruent for those outside triangles, and the SSS postulate can be invoked.
Choose the symbol that will create a true sentence when m = 20. 100 – 2m ___ 3m
Answers
Answer: it’s =
i just got the test results
Answer these below
a) 3 ⋅ 1/3 =
b) 10 ⋅ 1/10 =
c) 19⋅ 1/19 =
Answers
Answer:
a) 3/3=1
b) 10/10=1
c) 19/19=1
Step-by-step explanation:
yes
a) 1
b) 1
c) 1
Step-by-step explanation:3 x 1/3 =
First we should understand that 3 in fraction form is 3/1.
(3 divided by 1 is three)
So we can rewrite this as;
3/1 x 1/3 =
Now just multiply across
3/1 x 1/3 = 3/3 = 1
Repeating this same logic we'll come across the following answers
10 x 1/10 = 10/10 = 1
19 x 1/19 = 19/19 = 1
Hope this helps
Suppose that y varies directly with x, and y=3 when x=15
Find y when x=10
Answers
Answer:
yaa , when X=15, y = 3;
here the value of X is five times the value of y
so when X= 10
then. y =X/5 = 10/5= 2
so the value of y will be 2
hope you like the answer
Help Asap
Phone company 1 offers a plan that costs 35.99 and includes unlimited texting, phone company 2 offers a plan that costs 19.99 and charges 0.25 per text
For what number of texts does the 2nd phone company plan cost more than the 1st phone company
Write and solve an inequality that models this situation. define your variables.
Answers
Answer:
at 65 texts , co 2 costs more
19.99 + .25x > 35.99
x= number of texts
Step-by-step explanation:
19.99 + .25x = 35.99
x= number of texts
.25x= 35.99-19.99
.25x=16
x=16÷.25
x=64
What is the absolute value of these respective values?
18 and -91
Answers
Answer:
|18| and |91|
Step-by-step explanation:
absolute values means that you just take away any negative signs basically
Three times a number decreased by 5 equals 10. Write the equation and find the number.
Answers
Answer:
3x - 5 = 10
Step-by-step explanation:
