Answer:
3, d on edge..................
Answer:
d on edge
Step-by-step explanation:
3
A professor of statistics wants to test that the average amount of money a typical college student spends per day during spring break is over $70. Based upon previous research, the population standard deviation is estimated to be $17.32. The professor surveys 35 students and finds that the mean spending is $72.43. Which of the following statements is most accurate? Select one: a. reject the null hypothesis at ? = 0.01 b. reject the null hypothesis at ? = 0.10 c. fail to reject the null hypothesis at ? ? 0.10 d. reject the null hypothesis at ? = 0.05
Answer:
Option c: Fail to reject the null hypothesis at α = 0.10
Step-by-step explanation:
We are given;
Population mean; μ = 70
population standard deviation; σ = 17.32
Sample mean; x¯ = 72.43
Sample size; n = 35
Thus;
Null hypothesis; H0: μ = 70
Alternative hypothesis; Ha: μ > 70
Z-score formula is;
z = (x¯ - μ)/(σ/√n)
z = (72.43 - 70)/(17.32/√35)
z = 2.43/2.9276
z = 0.83
From online p-value from z-score calculator attached, using z = 0.83; significance level = 0.05 and one tailed hypothesis, we have;
P-value ≈ 0.2033
It's more than the significance value, so we will fail to reject the null hypothesis at α = 0.05
Similarly, From online p-value from z-score calculator attached, using z = 0.83; significance level = 0.01 and one tailed hypothesis, we have;
P-value ≈ 0.2033
It's more than the significance value, so we will fail to reject the null hypothesis at α = 0.01
Similarly, From online p-value from z-score calculator attached, using z = 0.83; significance level = 0.10 and one tailed hypothesis, we have;
P-value ≈ 0.2033
It's more than the significance value, so we will fail to reject the null hypothesis at α = 0.10
From the 3 significance values, the correct option is option c. fail to reject the null hypothesis at α = 0.10
Using the z-distribution, it is found that the most accurate statement is:
c. fail to reject the null hypothesis at [tex]\alpha = 0.1[/tex]At the null hypothesis, it is tested if the average spending is not over $70, that is:
[tex]H_0: \mu \leq 70[/tex]
At the alternative hypothesis, it is tested if it is over $70, that is:
[tex]H_1: \mu > 70[/tex].
We have the standard deviation for the population, hence, the z-distribution is used to solve this question.
The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\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. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.In this problem, the values of the parameters are as follows: [tex]\overline{x} = 72.43, \mu = 70, \sigma = 17.32, n = 35[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{72.43 - 70}{\frac{17.32}{\sqrt{35}}}[/tex]
[tex]z = 0.83[/tex]
Using a significance level of [tex]\alpha = 0.1[/tex], the critical value for the right-tailed test, as we are testing if the mean is greater than a value, is [tex]z^{\ast} = 1.28[/tex].
The lower the significance level, the higher the critical value.Since for a significance level of 0.1, [tex]z < z^{\ast}[/tex], we fail to reject the null hypothesis at [tex]\alpha = 0.1[/tex], and option c is correct.
You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918
Olivia typed 2 pages in 12 minutes. How long will it take her to type 10 pages at this rate?
Answer:
60
Step-by-step explanation:
If Olivia typed 2 pages in 12 minutes, this means that she can type 1 page in 6 minutes. Since we're looking for the amount of time it would take her to type 10 pages, we multiply 6 by 10 to get 60.
Answer:
60 minutes
Step-by-step explanation:
if Olivia writes 2 pages in 12 minutes that means she writes 1 page in 6 minutes. 6 minutes per page times 10 pages equals 60 minutes for 10 pages.
Help please thank you and also show the work please
Answer:
y= -1.4x-6.6
Step-by-step explanation:
(1,-8)
7x+5y=-7
Make the equation into standard form
Subtract 7x from both sides
5y=-7x-7
Divide all by 5
y=-1.4x-1.4
Since they are parrallel, we know the slope is -1.4x
y=-1.4x+b
(1,-8) is one of the points it goes through
Replace the x and y in the equation for the x and y in the incomplete equation
-8=-1.4+b
Add 1.4 to both sides
-6.6=b
Thus the equation is
y=-1.4x-6.6
Identify the ration numbers as a positive or negative.
Answer:
(From left to right) negative, negative, positive, positive, negative, positive, negative, positive
samantha needs to bake at least 120 pot pies to sell at her restaurant. she can bake 12 pot pies per hour and 15 veggie pot pies per hour.
write an inequality that represents the situation. let X be the number of hours she spends making chicken pot pies and y be the number of hours she spends making veggie pot pies.
Answer:
y>(line under >) - 4/5x + 8
Step-by-step explanation:
Phrase "at least" indicates that the total number of pies is greater than or equal to 120.
The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.
Use this information to create the inequality:
12x + 15y >(line under >) 120
Simplify by solving for y to get this inequality:
y >(line under >) - 4/5x + 8
A local club had a fundraiser to raise money for 15 different programs. They
raised $1,275. The club wants each program to get the same amount of money.
How much should each program receive?
Answer:
The answer is 85. each program gets $85 each.
Step-by-step explanation:
Divide 1275 and 15
Which of the following demonstrates the Commutative Property of addition?
4+2=2+4
0(3+1) = 0
(1+2) + 3 =
1 + (2+3)
a*1= a
Answer:
To my calculations, I think its the first one, 4+2=2+4
I hope this helps! ^^
Apologizes if you get it wrong-
Step-by-step explanation:
Which statement correctly describes the decimal form of: 2/9
Answer:
0.222 (repeated)
Step-by-step explanation:
Fractions are essentially another way to write a division expression.
This means that if a/b, then it can also be written as a÷b. (a and b are variables)
So, 2/9 is the same thing as 2÷9.
You can then calculate 2÷9 using a calculator, long division, or any other way you usually solve questions involving division.
What number makes a ratio equivalent to 7:15
Answer:
double those numbers:
14:30 is equivalent to 7:15
May I have brainliest please? :)
How many solutions does the equation 3x-9=3(x-3) have ?
Answer:0
Step-by-step explanation:
3x^9=3(x-3
We move all terms to the left:
3x^9-(3(x-3)=0
Answer:
1 solution which is infinite solutions
Step-by-step explanation:
There is only one solution to this because if we simplify both sides of the equation, we get 3x-9=3x-9. When we add 9 to both sides we are left with 3x=3x and subtracting 3x from both sides will make the equation 0=0 which is infinite solutions. This is the only answer/solution we can get from this problem
A nail artist makes 33085 a year. If they get paid semimonthly, how much do they get each paycheck? Round to the nearest cent
Answer:
1378.54
Step-by-step explanation:
First multiply 12 by 4. You get 48 then divide it by 2 and You get 24. divide 33085 by 24 and you get 1378.54.
The expression is given in srandard form. Rewrite it in factored form . If it cannit be written in factored form , write “cannot be done “ p^2+18p-40
Answer:
(P+20)(p-2)
Step-by-step explanation:
p^2+18p-40
P^2+(20-2)p-40
P^2+20p-2p-40
P(p+20)-2(p+20)
(P+20)(p-2)
Plz answer asap I need an answer i will mark brainiest.
Answer:
A
Step-by-step explanation:
What is the effect on the graph of f(x)=1xf(x) = \frac{1}{x}f(x)=x
1 when it is transformed to g(x)=1x−7g(x) = \frac{1}{x} - 7g(x)=x
1−7?
A.
The graph of f(x) is shifted 7 units down.
B.
The graph of f(x) is shifted 7 units to the left.
C.
The graph of f(x) is shifted 7 units to the right.
D.
The graph of f(x) is shifted 7 units up.
Answer:
A
Step-by-step explanation:
15h=465
:) help me please
I WILL GIVE BRAINLIEST
The graph of the linear function f(x) has a slope of − 4/3 and a y-intercept of −2. Complete the equation for the function.
An equation for f(x) is f(x) =
Answer:
The graph of the linear function f(x) has a slope of − 4/3 and a y-intercept of −2.
An equation for f(x) is =
[tex]y = mx + b \\ y =- \frac{4}{3} x - 2[/tex]
There are 8 fewer than double the
number of students in the chorus than in
the band. There are 54 members in the
chorus. Which equation represents how
to find the number of students in the
band?
A. 2x - 8= 54
B. 2x + 8 = 54
C. 8x - 2 = 54
D. 8x + 2 = 54
Answer:
The equation to find the number of students in the
the band will be: 2x - 8= 54
Step-by-step explanation:
Let the number of members in the chorus = x
so the double number of members in the chorus will be = 2x
As Total members in the chorus = 54
As there are 8 fewer than double the number of students in the chorus than in the band. i.e. 2x - 8
Therefore, the equation to find the number of students in the
the band will be: 2x - 8= 54
What is the slope of the line?
63 +10y = 8
Tristan earned a grade of 64% on his multiple choice science final that had a total of 200 problems. How many problems on the final exam did Tristan answer correctly?
Answer:
128
Step-by-step explanation:just go cheat ok thank you
Please help!!!!!!!!!!!!!!!!!!!!!!!!
the answer is A cuz non of the number are repeated
Consider the system of inequalities and its graph.
y>x/4
y
in which section of the graph does the actual solution to the system lie
1
2
3
4
Considering the system of inequalities and its graph, the section of the graph where the actual solution lies is at:
3
What is inequality?Inequality, is a declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
For the given graph the solution is the point where the shading intersect and the number in this area is 3
Therefore, we conclude that point 3 is the area for the actual solution of the inequality
Learn more about inequality at:
https://brainly.com/question/24372553
#SPJ1
PLEASE HELP ME OUT WILL MARK BRAINLIEST
Answer:
I'm pretty sure the answer is D.
Step-by-step explanation:
12−3(3x−5)=12(2x+1)
Pls help soon like in minutes :c
Also umm please help me on this
Also umm dErP :>
Answer:
x = 5/11
Step-by-step explanation:
Hope this helps!
can someone please help?
Experiment: pick one number from 1 to 10. What is the sample space fo
this experiment?
Answer:
Step-by-step explanation:
Sample space = {1, 2 , 3 , 4 , 5, 6, 7, 8, 9, 10}
During the summer, the town pool is open for 7 1/2 hours during the day. Each lifeguard works a shift for 3/4 of an hour. How many shifts are there during the day? do it in fraction form
3/8 divided by 1/2 equals what
Answer:
0.75 or 3/4Step-by-step explanation:
3/8 = 0.375
1/2 = 0.5
0.375 ÷ 0.5 = 0.75
3/8 ÷ 1/2 = 3/4
Hope this helps! <3
What are the possible values of x given that
log2(x2+5x+14)3?
Answer:
Step-by-step explanation:
Answer:
o.90309x^2 + 4.51545x + 12.64326
WILL MARK BRAINLIEST!!! I don't understand what I did wrong. Can someone point out what I did wrong and tell me how I should have done it.
slope = (4 - 1)/(3 + 6) = 3/9 = 1/3
y = mx + b
b = y - mx
b = 1 - 1/3(-6)
b = 1 + 2
b = 3
equation
y = 1/3x + 3
answer
C: y= 1/3x + 3
A quiz had 20 questions. Andre scored 16 of them correctly. What was
Andre's percent score? *
Answer:
80%
Step-by-step explanation:
16 divided by 20