Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.
At the null hypothesis, it is tested if they spend on average 19 hours a week working, that is:
[tex]H_0: \mu = 19[/tex]
At the alternative hypothesis, it is tested if they spend more than 19 hours a week working, that is:
[tex]H_1: \mu > 19[/tex]
We have the standard deviation for the sample, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.Searching the problem on the internet, it is found that the values of the parameters are:
[tex]\overline{x} = 24.2, \mu = 19, s = 12.59, n = 25[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{24.2 - 19}{\frac{12.59}{\sqrt{25}}}[/tex]
[tex]t = 2.07[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 25 - 1 = 24 df is of [tex]t^{\ast} = 1.71[/tex]
Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.
To learn more about the t-distribution, you can take a look at https://brainly.com/question/13873630
how do you find the value of x on this triangle?
Answer:
Solving for X in a Right Triangle
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
20% of a number is 184. What is the number
Answer:
20% is 184
100% is x
x= 184 • 100/20
x= 920
Need help solving homework
Find the next four terms in the sequence.
1,-4, 16, -64, ...
Answer:
256, -1024, 4096, -16384
i think that's it
it's being multiplied by -4 (geometric)
Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no deposits or withdrawals, he will earn $40 in simple interest in 4 years. What is the annual rate of simple interest?
Answer
$540
Step-by-step explanation:
hopes this helps
Find the value of sin D rounded to the nearest hundredth, if necessary.
Answer:
0.22
Step-by-step explanation:
So in this problem, we have to find the hypotenuse first, since sine is opposite over hypotenuse.
We can do this using the pythagorean theorem (you can search it if you don't know). Or, we can just remember this as one of our pythagorean triplets (9,40,41). The last side will be 41.
We have to find the value of sin(D)
opposite/hypotenuse = 9/41 = 0.2195 which is about 0.22
Subtract 8 feet from 9 yards, 1 foot.
7 yards, 1 foot
1 yard, 1 foot
6 yards, 2 feet
6 yards, 1 foot
Answer:
6 yards, 2 feet
Step-by-step explanation:
9yards and 1 ft - 8 feet= 6.66666667 yards
6.66666667 yards=6 yards, 2 feet
6 yards, 2 feet
hope it helps
Easy question about multiplication? unsure why not getting full marks
Which number is a factor of 15 but no a multiple of 3?
Answer: 5
Step-by-step explanation:
The value of a newly purchased computer will decrease over time. The value of the computer can be modeled by the following function:
f(t)=200+1,200(0.73)2t,
where t is measured in years since the computer was purchased.
Use the drop-down menus to complete the explanation of how the function models the computer's value over time.
Answer:
$14000200Step-by-step explanation:
a)Substitute 0 for t and evaluate the expression. Recognize that any value to the zero power is 1.
f(0) = 200 +1200(0.73^(2·0)) = 200 +1200·1
f(0) = 1400
When t=0, the value of the computer is 1400 dollars.
__
b)The exponential expression 1200(0.73^(2t)) has a horizontal asymptote of 0. It gets closer and closer to 0.
__
c)The exponential term gets closer to 0, so the function value gets closer to ...
f(∞) ≈ 200 +0 ≈ 200
f(t) gets closer and closer to 200.
Answer:
1) 1,400
2) 0
3) 200
What is the value of the expression
4x+y when x = 2 and y = 4?
2y-1
Pls help I’ll brainlest ASAP I’ll add extra points
Answer:
I think the slope is -1/-4 or - 1/4
A table of values of a linear function is shown below. Find the output when the input is n.
Answer:
Step-by-step explanation:
output = y
input = x
y=-2x + 3
if you follow the pattern, the next input is 5 which will output -7
Trinity earns 8 dollars working at a local supermarket and 6 dollars per hour babysitting
Answer: so 14 dollars in total
Step-by-step explanation:
Answer: Based on the current non-complete question, the answer Trinity earned $14.
Step-by-step explanation: 8 + 6 = 14.
For each right triangle below, find all unknown side lengths and angle measures:
can anyone help for number 8 and 9
Answer:
10.
here,
h=c
b=5
p=12
,we know that,
h²=b²+p²(pythagoras theorum )
c=5²+12²
c=25+144
c=169
hence the value of c is 169.
WILL GIVE BRAINLIEST
Answer:
answer choice is B
Step-by-step explanation:
Use mathaway and scan the problem
PLEASE HELP
If you help You’ll automatically be my favorite person ever
Answer:
Put one point on -4 on the Y-axis (bottom middle) and one at (-2,2)
Please help I don’t understand!!
Answer:
[tex] \frac{5(x + y)}{ - 8x} [/tex]
Step-by-step explanation:
quotient means division
numerator is the top
denominator is the bottom
product means multiply
sum means add
y’’’’ - y = 0
y(0) = 0
y’(0) = 1
y’’(0) = 0
y’’’(0) = 0
Answer:
bick in my vaogina toes Step-by-step explanation:
Plot 1[tex]\frac{2}{5}[/tex] −12, and −2[tex]\frac{1}{10}[/tex] on the number line.
Answer:
1st= 2.4 on the line
2nd= -0.5 on the line
3rd=2.1 on the line
Step-by-step explanation:
1st=because each line represents 1 part so if it is split into 5 you have to treat 2 lines as one
2nd 1/2=0.5 so -1/2= -0.5
3rd if one line is one part then it is 2.1
Components inside a computer such as CPU and motherboard are all examples of _____. software hardware
Answer:
it's hardware.
.
hope I helped!
What property is used to rewrite (x + 2)(y + z) as y (x + 2) + z (x + 2)
Answer:
Distributive Property
Step-by-step explanation (if you were to show the steps):
(x+2)(y+z) (first expression)
xy + xz + 2y + 2z (Distributive Property of Multiplication)
yx + 2y + zx + 2z (use the Commutative Property of Addition and Commutative Property of Multiplication to group xy (also known as yx) and 2y together, and to group xz (also known as zx) and 2z together)
y(x + 2) + z(x + 2) (use factoring to get the rewritten expression at the end)
Helpp! Part B- What is the equation of the line representing the cost of regular yogurt?
Part C- Lucia’s purchases 32 ounces of the less expensive yogurt. How much does the yogurt cost?
Answer:
10 to 1
Step-by-step explanation:
if 0 went to up there 10 you'd have to
one answer.
Select
Suppose the average player in the NBA is 78 inches tall with
a standard deviation of 2.7 inches, while the average player 10 points
in the WNBA is 69 inches tall, with a standard deviation of 3.2 inches. Who is
relatively taller based on their comparison to their profession, Lebron James
(NBA) at 81 inches or Candace Parker (WNBA) at 76 inches?
A. O LeBron is relatively taller because he has a larger Z-score.
B. O LeBron is relatively taller because he has a smaller z-score.
a
c. O Candace is relatively taller because she has a larger Z-score.
D. O Candace is relatively taller because she has a smaller Z-score.
Using z-scores, it is found that the correct option is:
c. Candace is relatively taller because she has a larger Z-score.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For the z-score of Lebron's height, we have that: [tex]X = 81, \mu = 78, \sigma = 2.7[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{81 - 78}{2.7}[/tex]
[tex]Z = 1.11[/tex]
For the z-score of Candace's height, we have that: [tex]X = 76, \mu = 69, \sigma = 3.2[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 69}{3.2}[/tex]
[tex]Z = 2.19[/tex]
Due to the higher z-score, Candace is relatively taller, hence option c is correct.
A similar problem is given at https://brainly.com/question/12982818
Solve. 4 + x 7 = 2
pls helpppp
Answer: x=14
Step-by-step explanation:
4+x/7=2
-4 -4
X/7=-2
*7 *7
X=14
Answer:
-14
Step-by-step explanation:
Who ever is right i will mark brainilest
Answer:
no
yes
no
yes
Step-by-step explanation:
thats the answer
Half a number is subtracted from 7 results in 34
Answer:
[tex]-54[/tex]
Step-by-step explanation:
If the number being halved is x, we can write the expression
[tex]7-0.5x=34[/tex]
Now, bring like terms and solve!
[tex]-0.5x=27[/tex]
Multiple both sides by -2 and you get
[tex]x=-54[/tex]
Wanna check the answer? Well...
[tex]7-(-54*0.5)=7+27=34[/tex]
Bill and his 3 friends read 55 books each for the year. Each book had 320 pages, How many pages did they all read in total that year?
Answer:
they all read 52.800 pages in that year
Step-by-step explanation:
320 X 55 = 17.600 pages/person
17.600 X 3 = 52.800 pages
A group of 90 students plan to go camping over the weekend. At the last minute, some of the students decide not to go. The students who do go separated into four camps, where [tex]\frac{1}{7}[/tex] of the students stay at Hill Camp; [tex]\frac{1}{3}[/tex] of the students stay at Forest Camp; [tex]\frac{1}{4}[/tex] of the students stay at Field Camp; and the remaining students stay at Lake Camp. How many students were at Lake Camp?
Using fractions, it is found that of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.
The students who went camping are divided according to the following fractions:
[tex]\frac{1}{7}[/tex] stayed at Hill Camp.[tex]\frac{1}{3}[/tex] stayed at Forest Camp.[tex]\frac{1}{4}[/tex] stayed at Field Camp.The remaining x stayed at Lake Camp.The sum of all these fractions is 100% = 1, hence:
[tex]\frac{1}{7} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]
[tex]\frac{12 + 28 + 21 + 84x}{84} = 1[/tex]
[tex]84x + 61 = 84[/tex]
[tex]84x = 23[/tex]
[tex]x = \frac{23}{84}[/tex]
Of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.
A similar problem is given at https://brainly.com/question/24372153
Which number is a perfect cube?
O4
O 16
O 24
O 64
