he Nassau Bahamas Community College (NBC) claims that students who take statistics spend on average 19 hours a week working. The population standard deviation is not known. Statistics students in MAT 102 believe students work more than 19 hours because they want to make more money.
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
The mass of a an atom of helium is 6.65 x 10−24. Use scientific notation to express the mass of 250 helium atoms. A) 1.6625 x 10−21 B) 1.6625 x 10−22 C) 1.6625 x 10−24 D) 1.6625 x 10−26
Answer: its A
Step-by-step explanation:
i know this is it
HELP! Due in 5 minutes
ANSWER:
the first one: 30x+48
The second one: x y^2(10 y + 15)
The third one: 30 x y - 5 x^2
Hope this helped!
sorry if im wrong. :)
GOOD LUCK!! <3
It takes 4/5 of an hour to fill 1/2 tank.how many tanks can she fill in an hour
Answer:
5/8 of a tank
Step-by-step explanation:
Divide 1/2 by 4 to get how much of a tank you would be able to fill in 1/5 of an hour. 1/2 ⁒ 4 is 1/8 so she can fill 1/2+1/8 of a tank or 5/8 of a tank.
What is the area of the composite figure
The dot product of u ∙ u = 45 what is the length of u?
Answer:
67 hah why you solve this
[tex]\textbf{u} \cdot \textbf{u} = 45\\\\\implies |\textbf{u}|^2 =45\\\\\implies |\textbf{u}| = 3\sqrt{5}[/tex]
For what value of x does 32X – 9^3x-4?
Answer: X = 4/61
Step-by-step explanation
An electronic company refurbishes game systems The table shows the profit made for the number of game systems sold. How much profit will be made for 35 game systems?
Answer: Give me the table and ill answer..
Step-by-step explanation:
Evaluate ( f/g)(x) if f(x) = 2x and g(x) = 3x – 2 when x = 2.
Answer:
1
Step-by-step explanation:
(f/g)(x)
= [tex]\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{2x}{3x-2}[/tex] ← substitute x = 2 into the expression
= [tex]\frac{2(2)}{3(2)-2}[/tex]
= [tex]\frac{4}{6-2}[/tex]
= [tex]\frac{4}{4}[/tex]
= 1
please get this done asap
Answer:
1)2 2)2y=4 y=2 x=1
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
The teen club had a cupcake sale.
They sold 2/3 of their cupcakes in the morning. They sold 1/6 of their cupcakes in the afternoon. They sold 200 cupcakes altogether.
How many cupcakes were left to sell?
40. Let C be the total number of cupcakes. Then 2/3 x C + 1/6 x C = 200.
Combining , 5/6 x C = 200. So C = 240.
240–200= 40
B = {x|x ∈ N and 1 ≤ x < 9}
Answer:
Set membership x ∈ X means x is an element of the set X. (Non-membership is written x ∈ X.) Set inclusion X ⊆ Y means every element of X is an element of Y ; X is a subset of Y .
Step-by-step explanation:
Carry on learning
8) A school community had planned to reduce the number of grade 9 students per class room by constructing additional class rooms. However, they constructed 4 less rooms than they planned. As the result, the number of students per class 10 more than they planned. If there are 1200 grade nine students in the school, determine the current number of class rooms and the number of students per class.
Step-by-step explanation:
Let "c" be the original number of classrooms.
The 1200/c was the original number of students per classroom.
----
Equation:
1200/(c-4) = (1200/c)+10
Multiply thru by c(c-4)
---
1200c = 1200(c-4)+10c(c-4)
---
1200c = 1200c-4800 + 10c^2-40c
----
10c^2-40c-4800 = 0
c^2-4c-480 = 0
Factor:
(c-24)(c+20) = 0
---
Positive solution:
c = 24 (# of classrooms originaly planned)
Less than and equal to is closed or open
Answer:
less than is
<
Step-by-step explanation:
equal to is =
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When a retired police officer passes away, he leaves $325,000 to be divided among his five children and three grandchildren. The will specifies that each child is to get twice as much as each grandchild. How much does each get?
Bill wanted to know how many times students at his middle school go to the beach each week during the summer. He surveyed every other middle school student at the mall last Saturday. After analyzing the data collected, Bill determined that the average student from his middle school goes to the beach about 2.4 times a week during the summer. What error did he make in the survey?
The survey was intended for Bill's middle school during the summer. The
survey was administered to students of other schools on a Saturday.
The type of error is the selection bias error.Reasons:
The type of error made is a non sampling error, given that the target of the
study is the number of times in a week students at his middle school
attend the beach during the summer.
The errors are; Selection bias error.
The given that the students survey are not from his middle school.The survey was carried out once on a Saturday, where the target was during the summer.The selection bias error is a type error that is due to the researcher
chooses what to study, such that the participant have common
characteristics rather than being random.
Learn more about selection bias error here:
https://brainly.com/question/13727092
Simplify Exponents and Roots
Help help help math math
Find
∂f
∂x
,
∂f
∂y
, and
∂f
∂z
.
f(x, y, z) = 32xyz
Answer:
what are the measurements for 1 and 2?
Step-by-step explanation:
George Washington
Name the triangle described
Answer:
acute angle
Step-by-step explanation:
different angles will produce different "opposite side" lenghts, so the angle has 3 distinct angles and therefore 3 distinct sides, different sides means is an Scalene.
Now, one of the angles is 90° or namely a right-angle, that makes it a Right Scalene Triangle.
True or False (See Image)
The remainder theorem can be used to check if a binomial is a factor of a larger polynomial.
Answer: true
Step-by-step explanation:
HELP ME PLEASEEEEEE I WILL GIVE BRAINLIEST
Answer:
DE, EW, WD
Step-by-step explanation:
From shortest line to longest line this would be the correct order.
A rock is launched from a cannon. Its height, h(x), can be represented by a
quadratic function in terms of time, x, in
seconds.
After 1 second, the rock is 94 feet in the
air; after 2 seconds, it is 176 feet in the
air.
Complete the height function, h(x), for this situation
h(x) =
Answer:
The height, in feet, of the rock after 5 seconds = 875 feet
Step-by-step explanation:
Write an expression that is the product of two factors and is equivalent to -2x - 10
PLEASE HELP
Answer:
-2(x + 5)
Step-by-step explanation:
Solve. x 2 = 7
pls help!!
Answer:
x = 14
Step-by-step explanation:
1) Multiply both sides by 2.
x = 7 * 2
2) Simplify 7 * 2 to 14.
x = 14
Answer:
D.
Step-by-step explanation:
when using diversions in fractions to whole numbers you will always multiply the denominator by the whole number. So 2 x 7 equals 14. :))
Solve for x + (1/x):
3x + (2/x) - 4 = 2(x+9) - (7 - (1/x))
Answer:
Step-by-step explanation:
please help me do this question
Answer:
hope you understand my answer:)
The radius of a circle wheel is 35 cm. How many revolutions does it make to cover a distance of 81.40
Answer:
.37 resolutions
Step-by-step explanation:
2×22/7×35
44.5×=220
0.37 revolutions
For what values of k
If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.