Answer:
We accept the null hypothesis, that is, that the population mean is not different from 0.7.
Step-by-step explanation:
A brochure claims that the average maximum height a certain type of plant is 0.7 m.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 0.7[/tex]
A gardener suspects that this estimate is not accurate locally due to soil conditions.
Hypothesis test to determine whether the population mean is different from 0.7m, which means that the alternate hypothesis is:
[tex]H_{a}: \mu \neq 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7[/tex]
A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.
This means, respectively, that [tex]n = 43, X = 0.65[/tex]
Assume that the population standard deviation is 0.2 m.
This means that [tex]\sigma = 0.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.65 - 0.7}{\frac{0.2}{\sqrt{43}}}[/tex]
[tex]z = -1.64[/tex]
Pvalue of the test:
Since we are testing that the mean is different of a value, and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -1.64
z = -1.64 has a pvalue of 0.0505
2*0.0505 = 0.101
Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.
0.101 > 0.01, which means that we accept the null hypothesis, that is, that the population mean is not different from 0.7.
A store manager decides to clear out
school supplies to make room for new
inventory. Now a $20 bookbag will be
on sale for only $9. What is the
discount, as a percentage?
A:55%
B:40%
C:45%
D:50%
Answer:
it would be A:55%
Step-by-step explanation
For percent, to make it easier try to turn it into a 100.
20x5=100
do the same to the 9.
9x5=45.
Now subtract 45 from 100.
100-45=55.
There was a discount of 55%.
Ryan practiced 43.2 minutes on Monday on his violin. Tuesday, he practiced 37.48 minutes. If he practiced a total of 114.34 minutes for Monday, Tuesday, and Wednesday, how many minutes did Ryan practice on Wednesday?
Ryan practiced ________ minutes on Wednesday.
please help :)
Answer:
Ryan practiced 33.66 minutes on Wednesday
Step-by-step explanation:
You do 43.2+37.48 and it equals 80.68
Then you do 114.34-80.68 which equals 33.66
Algebra 2
Can you help me pls
Answer:
In50=3.912023005
Step-by-step explanation:
press it on your calculator
Given that f(x) = -3x, g(x) = x + 3 and h(x) = 3f(x + 1) = g(x), then
what is the value of h(2)?
Answer:
hkhqews
Step-by-step explanation:
nc2ecnw
helppppppp i need help
g Based on data from the Garbage Project conducted by the Midwestern State University the weights of paper discarded by the households in a certain residential area weekly is Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb. Which value separates the top 2% of the weekly discarded paper weights in this area
Answer:
The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.
This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]
Which value separates the top 2% of the weekly discarded paper weights in this area?
This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]
[tex]X - 7.95 = 2.054*3.12[/tex]
[tex]X = 14.36[/tex]
The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.
Liz deposited $2,000 into a savings account that pays 8% compounded quarterly. Complete the table to compute the amount in the account after 1 year
URGENT PLEASE, I NEED THIS FOR A TEST RIGHT NOW- A jar one-fifth filled with water weighs 560g. The same jar four-fifth filled with water weighs 740g. What is the weight of the empty jar??
Answer:
493g.
Step-by-step explanation:
In 2012 the NYC misdemeanor crimes totaled 374,364, in 2013 the total was 359,350. What was the percent change?
Answer:
-4%
Step-by-step explanation:
final value - initial value / initial value
359350 - 374364 / 374364
= -15014 / 374364
= -0.04010535201
-0.04010535201 x 100 = -4.01053520103
The value of percent change is -4%.
What is Percentage?
A relative value indicating hundredth part of any quantity is called percentage.
Given that;
In 2012, the NYC misdemeanor crimes totaled 374,364.
And, In 2013, the total was 359,350.
Now.
The percent change = ( Final value - Initial value / Initial value ) x 100
=( 359,350 - 374,364 / 374,364 ) x 100
= (-15014 / 374364) x 100
= -0.04 x 100
= - 4%
Thus, The value of percent change is -4%.
Learn more about the percent visit:
https://brainly.com/question/843074
#SPJ2
Mohamed Hubabi charges $12.00 for 40 pieces of spicy seaweeds.
At this rate, how much will 100 pieces of spicy seaweeds cost?
A) $333.33
B) $100.30
C) $30
D) $48
Answer:
c. $30
...................
Number 1 and solve please
ok.........................................
Can someone please help
Answer:
12x+3x=15+6
15x=21
divide both sides by 15
x=7/5
Answer:
hey well use transposition method in this
so 12x-15=6-3x
so.12x+3x-15=6 (we transposed-3 to other side so it became +3)
15x-15=6
15x=6+15
15x=21
X=21/15
X= 1.4
I think I'm correct but if wrong pls don't report me just correct me so I can learn
What is the ratio of perimeters for two regular pentagons with areas of 32 cm2 and 98 cm??
O 16:49
0 20:35
O 32:98
O 4:7
Answer:
4:7
Step-by-step explanation:
32/98= 16/49 Square root: 16= 4 square root of 49 =7
4:7
A triangle has angles that measure 118°, 30°, and 32°.
Answer:
Obtuse
Step-by-step explanation:
Triangles with angles > 90 are obtuse
Answer: obtuse
Step-by-step explanation: Any triangle with more than 90 dgrees means that the other two angles automatically have two acute angles, but an obtuse triangle only needs one obtuse angle: 118. Tell me how I did!
13. In the given circle, AB = 13 m, BC = 6 m, and CD = 8 m. If DE = x, find the value
of x. (The figure is not drawn to scale.)
E
x
A
B
A. 13.25 m
B. 9.75 m
C. 6.25 m
D. 14.25 m
do you know what the answer was?
someone please help on this question, i will mark as brainliest!
Answer:
It’s 11
Step-by-step explanation:
How many fifths are there in 3⅗
Answer:
18/5
Step-by-step explanation:
5 1/5 = 1 thus 3 are 15 + 3 = 18/5
Answer:
The answer is 18 fifths.
Step-by-step explanation:
3 = 15/3 + 3/5 = 18/3 fifths.
solve for x
please help
Answer:
your answer will be X=11.1
hope it helps you ...
QUESTION 8
In the linear equation y = 2x - 8, the slope of the line is
-2.
-8
2
8
Answer:
2
Step-by-step explanation:
give brainliest
Steph curry makes 90.3% of his free throws
If he attempts 3 free throws, what is the probability he makes the first one and misses the second and third?
Answer:
The probability is roughly 0.85%.
Step-by-step explanation:
This situation requires the combination of the probabilities in question.
The probability that Steph will make a throw is 90.3%, and from this we can conclude that the amount missed, or the probability of missing will be the remaining, or [tex]100\%-90.3\%=9.7\%[/tex].
Let's combine the probabilities, remembering a percentage simply means a number over 100:
[tex]P=\frac{90.3}{100} *\frac{9.7}{100}*\frac{9.7}{100}=\frac{90.3*9.7*9.7}{100*100*100}\\\\P=\frac{8496.327}{1 000 000}=0.008496327\\\\P(\%)=0.008496327*100=0.8496327\%[/tex]
(Write a sentence equation ) There are 3 lambs .Each lamb has 4 legs. How many legs are there on 3 Lambs?
Answer:
Well its basically 3 x 4 = 12, so for every lamb add four legs until you get to three
Step-by-step explanation:
please help me!!!!!!!!!!!!
Answer:
C. and D. are correct
Step-by-step explanation:
I solved all of them
A would be 0.5 not 2
B would be 2.5 not 2
E would be 0.5 not 2
hope this helps <3
f(x) = - 3/5 * x + k, If f(30)=^ - 11 , what is the value of k?
X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.
K = 19
Did this help You?----> Yes Or No ?
What is 2ft 3in converted to in?
Answer:
its is 27inches total
Step-by-step explanation:
yes is right
Please help me. I need help
Answer:
(X+1)(x+5)
Step-by-step explanation:
Answer:
the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)
If Brittany walks 4 miles in 50 minutes, then Brittany will walk how far in 90 minutes if she walks at the same speed the whole time? If necessary round your answer to the nearest tenth of a mile
Answer:
Wrong Anewer, I can't delete my answer so I just edited this in
Answer: try calculating it this is very easy that’s why you just have to times it
ing
Step-by-step explanation:
how do you find the height of a cone using the slanted height PLEASE HELP! MAKE SURE ANSWER IS CLEAR
Answer:
Step-by-step explanation:
Well you can't find the height of the cone using only the slant height because there simply isn't enough information
S = Slant Height
R = Radius
H = Height
However if you had the radius of the base of the cone, then you can use the Pytagorean theorem like so: H = square root(S^2 - R^2)
If you had the angle the slant made against the base, you could use:
H = S*sin(Angle)
what is proof?
where/when/how was it created?
How is it used?
Answer: I did a lot of research for this :)
Step-by-step explanation:
Proof is reasoning that an equation or expression works. It is used in Geometry and Calculus. It is likely first created as an ancient greek mathematics reasoning. Thales was one of the first text books featuring geometry proof(624–546 BCE). It is used to prove that the equation matches.
can u guys help me with this
Answer:
1. 50
2. 18
Step-by-step explanation:
Answer:
1st paper
18
2nd paper
50
Tanner is an 8th grader in Texas and wants to attend Stanford University after he graduates from
high school. Stanford is a private university and one year of tuition cost $46,320. He plans to attend
Stanford for four years and graduate with a bachelor's degree. His parents have committed to giving
him $8,000 each year towards tuition. Tanner plans to save for the next four years to prepare for the
cost. Determine the minimum amount of money he will need to save each month to pay for one year
of tuition.
Tanner will have to save $3,193.34 per month for 4 years to pay his tuition for Stanford.
Tanner's tuition over 4 years to get his Bachelor's degree all together will cost $185,280 (multiply 46,320×4). His parents will pay $32,000 (multiply 8,000×4) of his whole tuition. If we do the equation $185,280-$32,000 we get $153,280 which is what Tanner will have to pay. There are 48 months in 4 years. To find the answer you must solve the problem 48x= $153,280. To solve the problem divide both sides by 48. The answer to this equation is technically $3,193.3333333333 but for simplicity's sake we can round to $3,193.34. That is why the answer to this question is $3,193.34 per month of savings.