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
Gary’s family has 20 slices of pizza for dinner. His sister took 1/10 of the slices, his brother ate 25% of the slices, and his parents ate 2/5 of the pieces. How many pieces were left for Gary to eat
Answers
1/10 of 20 is 2.
25% of 20 is 5.
2/5 of 20 is 8.
Add these together: 15
20-15=5.
This means there are 5 slices left for Gary.
Hope this is helpful!!
15 points PLEASE HELP
Kirk earns $27.50 an hour and he worked 80 hours this pay period. His deductions are $396 for taxes. $264 for insurance, and $175 for retirement What is
his net pay for this pay period?
Answers
Answer:
27.50(80) is 2,200
2,200-396-175-264= 1,365
I think this is how u do it correct me if I'm wrong
For the figure shown on the right find M 1
Answers
Using the sum of the internal angles of a triangle and supplementary angles, it is found that the measure of angle 1 is of 121º.
What is the sum of the internal angles of a triangle?The sum of the three internal angles of a triangle is of 180º.
Hence, the measure of the remaining interior angle is given by:
60º + 61º + x = 180º
x = 59º.
What are supplementary angles?
Two angles are supplementary if the sum of their measures is of 180º.
An interior angle is supplementary with it's respective exterior angle, hence:
m<1 + 59º = 180º
m<1 = 121º.
The measure of angle 1 is of 121º.
More can be learned about supplementary angles at https://brainly.com/question/12919120
What is the value of x that makes the equation true?
2x+21 =-3 (2x-3)+2x
Answers
Answer:
-2
Step-by-step explanation:
x = -2
Answer:
Step-by-step explanation:
2x+21 =-3 (2x-3)+2x
distributive property
2x+21=-6x+9+2x
combine variables
2x+21=-4x+9
simplify
-2x=12
simplify
x=-6
Can anyone help me please?? Thank you.
Answers
Answer:
okay well the total distance is 3 and 1/3 km and the speed that it was for him to go downstream was 2/3 km per hour
please help measuring !
Answers
78=2x+12
66=2x
33=x
The answer is 33
What is the difference between 7.20 dollars and 2.70 dollars In unit prices
Answers
Answer:
7.2-2.7=x Doo the math buddy
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
A shirt that cost $60 yesterday has a current price of $36. By what percent did the price change?
Answers
Answer:
69
Step-by-step explanation:
Show your work:
36 divided by 60 is 0.6, which is 60%.
A health psychologist knew that corporate executives in general have an average score of 2.55 with a standard deviation of 0.5 on a stress inventory and that the scores are normally distributed. In order to learn whether corporate executives who exercise regularly have different stress scores, the psychologist measured the stress of 30 exercising executives and found them to have a mean score of 2.76. a. Using the five steps of hypothesis testing, was the group of 30 exercising executives different from executives in general? (Use the .05 significance level.) Be sure to sketch the distributions involved. Be sure to fully state the five steps and show ALL calculations/work. b. Additionally, explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual. (Be sure your explanation includes a discussion of the distribution of means--what it is, what it is made of, the concept of how it is created, how itʹs characteristics are created, its role in the overall hypothesis testing process.)
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
STEP 1:
Stress score in general executive (s1)
Stress score in exercising executive (s2)
Null : s1 = s2
Alternative : s1 < s2
STEP 2:
Shape of distribution = normal
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
Decision rule :
α = 0.05 which corresponds to a t score (t0) ;
df = n - 1 = 30 - 1= 30 at 0.05 = 1.699
If :
(Test statistic (t) > t0) ; reject the Null
(right tailed test)
Test statistic (t) :
(x - μ) / (σ/√n)
(2.76 - 2.55) / (0.5/√30)
0.21 / 0.0913
= 2.30
t > t0
2.30 > 1.699
t is more extreme than t0
Hence, reject the null at α = 0.05
What is the minimum?
What is the maximum?
Answers
0.25k + 1.5 - k - 3.5
Answers
Your brother is 1/5 your age. Your sister is 9 years older than your brother. Your sister is 11 years old. Write and solve an equation to find your age a.
Answers
Answer:
your age is 10 and your brothers age is 2 the equation is
Step-by-step explanation:
a=5b=b+9
the first part is how old you are the second is how old your brother is and the third is how old your sister
Lances goal is to run 16 laps around the track. Each lap is 350 yards. Currently lances ran 2450 yards around the track. How much is his percent did he run so far??
Answers
Answer:
Hi There!
Your answer is :
He ran 43.75% so far.
Step-by-step explanation:
16 laps = GOAL
350* 16 to determine goal yards
16laps = 5,600yrds
1 lap= 350 yrds
xlaps = 2450 yrds
2450/350 to determine x laps.
7 laps = 2450 yards
He is 2450 yards into his 5,600 yard goal.
IF 5,600 = 100%
/5600
1 yard = 1/56th %
* 2450
2450yards = 43.75%
Hope this helps
5,395
- 2,697
How do you solve?
Answers
Answer:
2698
Step-by-step explanation:First you take 1000 from 5000 and then distribute it to 395
Answer:
you would subtract 2697 from 5395. you have it in the correct format. the answer would be 2,698.
Step-by-step explanation:
How do I solve this?
Answers
Answer:
<B = <ABC = 107°
Step-by-step explanation:
<CAB = 32° (property of isosceles triangle)
<ACB = 41° (property of isosceles triangle)
<ABC = ?
<ABC + <ACB + < CAB = 180° (sum of angles of triangle)
<ABC + 41° + 32° = 180°
<ABC + 73° = 180°
<ABC = 180° - 73°
<ABC = 107°
The sum of the square of a positive number and the square of 3 or more than the numbers is 17. What is the number
Answers
Answer:
1
Step-by-step explanation:
Let x represent the number. The given relation is ...
x² +(x+3)² = 17
2x² +6x +9 = 17 . . . . simplify
x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2
(x +4)(x -1) = 0 . . . . . factor
The solutions make these factors zero: -4 and +1. The positive solution is 1.
The number is 1.
On field trips there must be 2 chaperones for every 15 students which ratio correctly express the ratio of students
Answers
Answer:
15:2 or 15 to 2
Step-by-step explanation:
They are asking for a ratio based on how many chaperones per student (in this case 15 students) In other words 15 students for every 2 chaperones.
How to show the value of 11 in two different ways
Answers
Answer:
1 x 11
10 + 1
Step-by-step explanation:
A teacher spent $240.75 including tax on school supplies. If the tax rate is 7%, find the price of the supplies before taxes.
Answers
Answer:
$225.00
Step-by-step explanation:
7% of 225 is $15.75
.07x225=$15.75
$225+$15.75=$240.75
someone please help me
Answers
Answer: r= 5/2 or r= 2 1/2
Step-by-step explanation:
Which one is greater 8 or -12
Answers
Answer:
8
Step-by-step explanation:
-12 is below 0 and 8 is above
Answer:
8 is greater
Step-by-step explanation:
the negative sign= - is meaning below so
12 below is -12 which is less so 8 is greater
place value of 30,542
Answers
Answer: ten-thousand
Not completely sure if this is what you're asking for... If not, explain better pls!
jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesday, they drove 111 miles. And, on Thursday, they drove 588 miles. what is the total number of miles that Jake's family traveled
Answers
35% of what is 28?............
Answers
35% of 80 is 28.
Answer is 80.
Place each expression in the column of what operation you would perform first.
70 POINTS!! PLEASE HELP!! ASAP! PLEASE SOMEONE HELP ME ASAP
Answers
Answer:
Multiplication: Division: Addition: Subtraction:
100 * 2/5 100/2 *5 89 + 43 - 10 4 - 5 + 7
5 + 3 - 8 * 10 14 - 4/8 (4 + 3)/ 2 (idk about this one)
6 * 3 - 8 15 + 8 / 4 - 6
2/3 + 4 * 2
Hope this helps!
Answer:
100*2/5, 6*3-8, 2/3+4*2, 5+3-8*10 goes to multiplication first. 100/2*5, 14-4/8, 15+8/4-6 goes to division first. (4+3)/2, 89+43-10 goes to addition first. 4-5+7 goes to subtraction first.
Step-by-step explanation:
Follow the order of the operations (Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.) Addition and subraction, multiplication and division gets determined by reading from left to right. Whichever comes first will be first calculated.
15+8/4= 8/4 is first. Division.
14-4/8= 4/8 is first. Division.
2/3+4*2= 4*2 is first. Multiplication.
100*2/5= Multiplication is first.
100/2*5=100/2. Division.
6*3-8=6*3. Multiplication.
(4+3)/2=(4+3). Addition.
89+43-10= 89+43. Addition.
4-5+7=4-5. Subtraction.
5+3-8*10= 8*10. Multiplication.
What would be the answer to number nine
Answers
Answer:
x=9.06
Step-by-step explanation:
We have the hypotenuse and we want the opposite of angle a.
so we do
sin65 = x/10.
Solve for x by simplifying both sides of the equation, then isolating the variable.
What is the best way to answer each of the questions below: an experiment, a sample survey, or an observational study that is not a sample survey? Explain your choices.
(a) Are people generally satisfied with how things are going in the country right now?
A sample survey; we want to gather information about a population based on a sample.
An experiment; we want to establish a cause-and-effect relationship.
An observational study; there is no particular population from which we will sample, we simply observe.
(b) Do college students learn basic accounting better in a classroom or using an online course?
A sample survey; we want to gather information about a population based on a sample
An observational study; there is no particular population from which we will sample, we simply observe.
An experiment; we want to establish a cause-and-effect relationship
(c) How long do your teachers wait on the average after they ask their class a question?
An experiment; we want to establish a cause-and-effect relationship
An observational study; there is no particular population from which we will sample, we simply observe.
A sample survey; we want to gather information about a population based on a sample
Answers
Answer:
a
A sample survey; we want to gather information about a population based on a sample.
b
An experiment; we want to establish a cause-and-effect relationship
c
An observational study; there is no particular population from which we will sample, we simply observe.
Step-by-step explanation:
Considering the first question
Are people generally satisfied with how things are going in the country right now?
Here the aim is to gather the opinion of the entire population and since it is impossible to ask each and everyone that make up the population then the best option is to taken a sample of the population and then draw conclusion from their opinion
So the correct option to question a is
A sample survey; we want to gather information about a population based on a sample
Considering the second question
Do college students learn basic accounting better in a classroom or using an online course?
Here in other to get the best answer to the question there is need to carry out a statistical experiment using a group of college student where by a particular group of college student is exposed to learning a particular topic through class room and another group of college student is exposed to learning the same subject through online and then the same test is given to both group of student to determine the outcome of the experiment.
So the solution to the question b is
An experiment; we want to establish a cause-and-effect relationship
Considering the third question
How long do your teachers wait on the average after they ask their class a question?
For the above question we see that in order to get the correct solution to this problem there is a need to observe the teachers during question and answer section of their teaching so the correct answer to this question is
An observational study; there is no particular population from which we will sample, we simply observe.
12
Which value of x makes this equation true? *
- 4 (3 – x) + 2x = 8
Answers
Answer:
I believe that the answer is 3.33
determine if the function f(x)=3^(2x-3) is exponential
Answers
An exponential function gives a variable raised to the power of x, where the variable is a positive real number
Yes, [tex]\underline{f(x) = 3 ^{(2 \cdot x - 3)}}[/tex] is an exponential function
Reason:
An exponential function is a function that can be written in the form;
f(x) = eˣ
Where;
e = Euler's number, which is the number approximately 2.71828
In the general form, an exponential number is a number given in the form;
f(x) = a·bˣ
Where;
b = A positive real number
The given function; [tex]f(x) = 3 ^{(2 \cdot x - 3)} = \dfrac{3^{2\cdot x}}{3^3} = \dfrac{1}{27} \times 9^x[/tex] is an exponential function
Where;
a = [tex]\dfrac{1}{27}[/tex]b = 9Therefore, the correct response is; Yes, [tex]f(x) = 3 ^{(2 \cdot x - 3)}[/tex] is an exponential function
Learn more here:
https://brainly.com/question/17153778
What equals 22 cubed
Answers
Answer:
10648
Step-by-step explanation:
22 x 22 x 22