A sample of 36 observations is selected from one population with a population standard deviation of 4.2. The sample mean is 101.5. A sample of 50 observations is selected from a second population with a population standard deviation of 5.0. The sample mean is 100.1. Conduct the following test of hypothesis using the 0.10 significance level.H0 : μ1 = μ2H1 : μ1 ≠ μ2a. This is a_________tailed test.b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)The decision rule is to reject H0 if z is ___________the interval.c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic d. What is your decision regarding H0?e. What is the p-value? (Round your answer to 4 decimal places.)
Answers
Answer:
Step-by-step explanation:
Given that :
the null and the alternative hypothesis are computed as :
[tex]H_o: \mu_1 = \mu_2[/tex]
[tex]H_a : \mu _1 \neq \mu_2[/tex]
This is a two tailed test
This is because of the ≠ sign in the alternative hypothesis which signifies that the rejection region in the alternative hypothesis are at the both sides of the hypothesized mean difference .
Decision Rule: at the level of significance ∝ = 0 . 10
The decision rule is to reject the null hypothesis if z < - 1 . 64 and z > 1 . 64
NOTE: DURING THE MOMENT OF TYPING THIS ANSWER THERE IS A TECHNICAL ISSUE WHICH MAKES ME TO BE UNABLE TO SUBMIT THE FULL ANSWER BUT I'VE MADE SCREENSHOTS OF THEM AND THEY CAN BE FOUND IN THE ATTACHED FILE BELOW
Related Questions
The range of values for x?
Answers
Answer:
x = 32
but
I would say anything from 30 to 33
but truly i have no clue about the range
Step-by-step explanation:
3x-9=87 (because 180 -93 =87)
3x = 96
x = 32
Answer:
it is 32
Step-by-step explanation:
Solve 45 - [4 - 2y - 4(y + 7)] = -4(1 + 3y) - [4 - 3(y + 2) - 2(2y -5)] (make sure to type the number only - rounded to the tenth)
Answers
Answer:
Rounded: -5.5
Step-by-step explanation:
Work above :)
mortician math word problem
Answers
Answer:
wat do u want me to do
Step-by-step explanation:
Evaluate m^2 − 2m + 5 for m = − 2
Answers
Answer:
[tex]\huge\boxed{13}[/tex]
Step-by-step explanation:
m²-2m + 5
Given that m = -2
[tex]\sf (-2)^2-2(-2)+5\\4 +4 + 5\\13[/tex]
Answer:
13
Step-by-step explanation:
m^2 − 2m + 5
Let m = -2
(-2)^2 -2(-2) +5
4 +4 +5
13
There are 8 books needing re-shelving in a library where 65% of the library's collection consists of reference books. Let X be the number of reference books a student helper re-shelves out of the 8 on her cart. a) What is the probability that all 8 of them are reference books
Answers
Answer:
0.0319
Step-by-step explanation:
To approximate this probability, we shall be using the Bernoulli approximation of the Binomial distribution.
Let p = probability of selecting a reference book = 65% = 0.65
Let q = probability of selecting other books= 1-p = 1-0.65 = 0.35
Now, we want to find the probability that all of these 8 books to be re-shelved are reference book.
We set up the probability as follows;
P(X = 8) = 8C8 •p^8•q^0
P(X = 8) = 1 * (0.65)^8 * (0.35)^0
P(X = 8) = 0.031864481289 which is 0.0319 to 4 decimal places
Robert, a ninth-grader, has just been told, "The reason you’re having so much trouble with division is that you have never mastered compound multiplication. The Math Basic Skills Tests have indicated this quite clearly. We are going to provide you with instruction in multiplication immediately." Robert’s teacher made what kind of decision relative to his skill level?
Answers
Answer:
Diagnostic
Step-by-step explanation:
The teacher made a diagnostic decision relative to Roberts skill level. Before she made this decision, she first started with the process of evaluation to know his strength and also establish his weakness. With the knowledge she has gotten she now plans to him with meaningful learning and an efficient curriculum that would help him in mastering multiplication first before division.
Which statement about the angle measures is true?
m_BAC + m2 ACB 85
m.BAC MACB 95
95°
m..BACA BC 85
m. BACIMBC 95
B
Answers
Answer:
Option (4)
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles."
In the triangle ABC,
∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.
m∠ACD = m∠BAC + m∠ABC
95° = m∠BAC + m∠ABC
Therefore, Option (4) will be the correct option.
In the given diagram if AB || CD, ∠ABO = 118° ∠BOD = 152° then find the value of ∠ODC. please help !!!!!!
Answers
Explanation:
It looks like a right angle to me
So it should be 90 degree
average of 2721 2557 2999 2278 4339
Answers
Answer:
Step-by-step explanation:
So we know that the average of numbers is all of the numbers added up and divided by the total amount of numbers.
2721
+ 2557
-------------------
5278
.... AND SO ON.........
=14,894 is all of the number added together!!!
Then we count up the numbers= 5
14,894/5
=2978.8
I hope this helps!!!
WILL GIVE BRAINILY 5 STARS AND THANKS FOR CORRECT ANSWERLenora wants to buy granola bars for her hiking trip. Eight bars cost $2.40. She wants to buy 12 bars. How much will 12 bars cost?
Answers
Answer:
$3.60
Step-by-step explanation:
2.40/8=.30
$.30 per bar
.3 x 12= $3.60
Answer:
$3.60
Step-by-step explanation:
Proportions
8 bars ⇔ $2.4
12 bars ⇔ $W
W = 12*2.4/8
W = $3.6
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 38 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 116 feet. Assume that the population standard deviation is 21 feet. (You may find it useful to reference the appropriate table: z table or t table) a. State the null and the alternative hypotheses for the test.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
the null hypothesis is [tex]H_o : \mu = 122[/tex]
the alternative hypothesis is [tex]H_a : \mu \ne 122[/tex]
The test statistics is [tex]t = - 1.761[/tex]
The p-value is [tex]p = P(Z < t ) = 0.039119[/tex]
so
[tex]p \ge 0.01[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 122[/tex]
The sample size is n= 38
The sample mean is [tex]\= x = 116 \ feet[/tex]
The standard deviation is [tex]\sigma = 21[/tex]
Generally the null hypothesis is [tex]H_o : \mu = 122[/tex]
the alternative hypothesis is [tex]H_a : \mu \ne 122[/tex]
Generally the test statistics is mathematically evaluated as
[tex]t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }[/tex]
substituting values
[tex]t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }[/tex]
[tex]t = - 1.761[/tex]
The p-value is mathematically represented as
[tex]p = P(Z < t )[/tex]
From the z- table
[tex]p = P(Z < t ) = 0.039119[/tex]
So
[tex]p \ge 0.01[/tex]
When the scale factor is one what is the ratio of the side length of the side opposite angle a and the length of the hypotenuse
Answers
Answer:
me ajuda por favor matemática
If I chose a number uniformly from the integers from 1 to 25, calculate the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18.
Answers
Answer:
1/7Step-by-step explanation:
If I choose a number from the integers 1 to 25, the total number of integers I can pick is the total outcome which is 25. n(U) = 25
Let the probability that the number chosen at random is a multiple of 6 be P(A) and the probability that the number chosen at random is is larger than 18 be P(B)
P(A) = P(multiple of 6)
P(B) = P(number larger than 18)
A = {6, 12, 18, 24}
B = {19, 20, 21, 22, 23, 24, 25}
The conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is expressed as P(A|B).
P(A|B) = P(A∩B)/P(B)
Since probability = expected outcome/total outcome
A∩B = {24}
n(A∩B) = 1
P(A∩B) = n(A∩B)/n(U)
P(A∩B) = 1/25
Given B = {19, 20, 21, 22, 23, 24, 25}.
n(B) = 7
p(B) = n(B)/n(U)
p(B) = 7/25
Since P(A|B) = P(A∩B)/P(B)
P(A|B) = (1/25)/(7/24)
P(A|B) = 1/25*25/7
P(A|B) = 1/7
Hence the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is 1/7
Name one real-world object that suggests A. Points B. Lines and C. Planes
Answers
There are many examples to pick from, one is
point = location on map
line = straight road between two locations (aka two points)
plane = flat ground (the ground cannot have any hills or valleys)
First, let's write some useful definitions:
Point: it is an entity that has a location in a given space or plane, and do not have any surface nor measure.
Line: if we have two points, we can define a line as a straight, infinite ray that connects them. Still does not have a surface
Plane: We can define a plane as a line and a point outside of it, here appears the concept of the surface.
So, the easier one is a plane, a sheet of paper could be a good representation of a plane. And in the same way that a sheet of paper can bend in different ways, also do the planes.
For the line, we could use a really straight wire.
Finally, the point, which is the hardest one to describe (notice that we used points to describe the other two, lines, and planes) so here we could choose something small, that has near to no surface and that also has a location in the space. An example of this could be an electron or any other elemental particle.
If you want to learn more, you can read:
https://brainly.com/question/17213603
I need help please help me! I don’t understand this
Answers
Answer:
170 m³
Step-by-step explanation:
To solve this type of problem, assume you have two solids joined together to make the shape you have up there. This will enable you find the volume of each, then sum both volume together to get your answer.
Let's solve for the volume as follows.
If we divide the solid into 2, what we have is 2 cuboid: the first having dimensions of:
length (l) = 6m,
width (w) = 2m,
height (h) = 8m
Volume of the first cuboid = [tex] l*w*h = 6*2*8 = 86 m^3 [/tex]
The second cuboid:
length (l) = 7m,
width (w) = 6m,
height (h) = 2m
Volume of the first cuboid = [tex] l*w*h = 7*6*2 = 84 m^3 [/tex]
Volume of the figure = 86 + 84 = 170 m³
Solve for X: 1+1*12/80-2+3=56x
Answers
Answer:
NOT SURE
Step-by-step explanation:
How do I solve these equations:
sin(2θ) + sin θ = 0
sin(2θ) = sqrt 3 cos θ
for intervals 0=< θ < 2pi
Answers
Answer:
Step-by-step explanation:
Given that
sin(2θ)+sinθ=0
We know that
sin(2θ)=2 sinθ x cosθ
Therefore
2 sinθ x cosθ + sinθ=0
sinθ(2 cosθ+1)=0
sinθ= 0
θ=0
2 cosθ+1=0
cosθ= - 1/2
θ=120°
_______________________________________________________
[tex]sin 2\theta=\sqrt{3cos\theta}[/tex]
By squaring both sides
[tex]sin^2 2\theta={3cos\theta}[/tex]
4 sin²θ x cos²θ=3 cosθ
4 sin²θ x cos²θ - 3 cosθ=0
cos θ = 0
θ= 90°
4 sin²θ=3
θ=60°
Mark each of the following as true or false and explain how you know.
Answers
true false false true...is the quick answer
Remember that negatives are always less than positive numbers.
83=4k-7(1+7k) How to solve
Answers
Answer:
k = -2
Step-by-step explanation:
83=4k-7(1+7k)
Distribute
83=4k-7-49k
Combine like terms
83 = -45k -7
Add 7 to each side
83+7 = -45k-7+7
90 = -45k
Divide each side by -45
90/-45 = -45k/-45
-2 = k
Answer:
k = -2Step-by-step explanation:
Step 1: Use 7 to open the bracket :
-7(1+7k)=-7-49k
Step 2: Collect like terms
Step 3 : Divide both sides of the equation by -45
[tex]83=4k-7(1+7k) \\ \\83 = 4k-7-49k\\\\ 83+7=4k-49k\\\\90 = -45k\\\\\frac{90}{-45} = \frac{-45k}{-45} \\\\k = -2[/tex]
In recent years, the interest rates on home mortgages have declined to less than 6%. However, a
recent study shows that the rate charged on credit card debt is more than 14%. A sample of 10 credit
cards showed that the mean rate charged is 15.64% with a standard deviation of 1.561%. At 1% level
of significance, is it reasonable to conclude the mean rate charged is greater than 14%?
Answers
Answer:
Yes it is reasonable to conclude the mean rate charged is greater than 14%
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 0.14[/tex]
The sample size is [tex]n = 10[/tex]
The sample mean is [tex]\= x = 0.1564[/tex]
The standard deviation is [tex]\sigma = 0.01561[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o: \mu = 0.14[/tex]
The alternative hypothesis is [tex]H_a : \mu > 0.14[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{ 0.1564 - 0.14 }{ \frac{0.01561 }{\sqrt{10} } }[/tex]
[tex]t = 3.322[/tex]
Now the p-value obtained from the z-table is
[tex]p-value = P(t > 3.322) = 0.00044687[/tex]
Since the [tex]p-value < \alpha[/tex] then we reject the null hypothesis, hence we can conclude that the mean rate charged is greater than 14%
Given the set of data: 24, 43, 65, 12, 31, 78, 43, 24, 25, 18, 29, 53, 18, 23, 20, 43, 53, 25 Determine the quartiles.
Answers
Answer:
Lower quartile= 4.75
Middle quartile= 9.5
Upper quartile= 14.25
Step-by-step explanation:
The given date set is 24, 43, 65, 12, 31, 78, 43, 24, 25, 18, 29, 53, 18, 23, 20, 43, 53, 25
On counting them we notice that it's number of element is 18
So N = 18
Arranging them in ascending order gives
12,18,18,20,23,24,24,25,25,29,31,43,43,43,53,53,65,78
Lower quartile= (N+1)*1/4
Lower quartile= (18+1)/4
Lower quartile= 19/4
Lower quartile= 4.75
Middle quartile= (N+1)*2/4
Middle quartile= (18+1)*2/4
Middle quartile= (19)*2/4
Middle quartile= 9.5
Upper quartile= (N+1)*3/4
Upper quartile= (18+1)*3/4
Upper quartile= (19)*3/4
Upper quartile= 14.25
Inter quartile range = upper quartile- minutes lower quartile
= 14.25-4.75
= 9.5
What is the value of 1 in 1,255 is what times the value of the 1 in 82,175
Answers
Answer:
100,000
You take 1,000 because it's in the thousandths place of 1,255. The value of that one is 1,000 so you multiply that times 100, which is the value of 1 in 82,175.
Answer:
Step-by-step explanation:
A survey of 1,565 households estimated that 72% of the households in a given state owned a television. What is the population? all the households in given state 1565 households surveyed 1127 households that owned televisions
Answers
Answer:
all the houses in given state
Step-by-step explanation:
edge 2021
Using sampling concepts, it is found that the population is given by:
All the households in given state.
What is a sampling?In a sampling, data is taken from a sample to be estimated for the entire population.
For example, if you want to find the proportion of New York State residents that are Buffalo Bills fans, surveying a sample of 1000 residents, the population is all New York State residents.
Hence, in this problem, the population is given by all the households in given state.
More can be learned about sampling concepts at https://brainly.com/question/25122507
602/100 into a decimal describe plz
Answers
Answer:
6.02
six point zero two
Step-by-step explanation:
Answer:
602 / 100= 6,02
Step-by-step explanation:
602 to divide 100 = 6,02
Which best describes the relationship between the lines with equations -36x + 8y = 16 and
-9x + 2y = 4?
Answers
Hi there! :)
Answer:
The lines are the same.
Step-by-step explanation:
Begin by converting each equation into its simplest form in slope-intercept form:
-36x + 8y = 16
Move the "x" variable to the right side of the equation:
8y = 36x + 16
Divide all terms by 8:
y = 36/8x + 16/8
y = 9/2x + 2
-------------------------------
-9x + 2y = 4
Move "x" variable:
2y = 9x + 4
Divide both sides by 2:
y = 9/2x + 2
Both of the equations are equivalent, meaning both of the lines are the same.
SOMEONE PLEASE HELP.............
Select the type of equations.
consistent
equivalent
inconsistent
Answers
Answer:
this is an inconsistent because no solutions
HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP
Answers
Answer:
Segment LM Corresponds to RQ
Segment R corresponds to angle M
Answer:
Step-by-step explanation:
six hundred men,six hundred men with big mouths to feed
If you conducting a test for statistical study and you got outcome with the likelihood of 0.005. Please evaluate outcome.
Answers
Here is the complete question:
a. Statistically significant at 0.01
b. Not statistically significant
Answer:
The test is significant
Step-by-step explanation:
When a p value is smaller than or less than alpha we say it is statistically significant.
We are testing the p value or likelihood of 0005 against a significant level of 0.01
P value = 0.005 < 0.01
0.005 is less than 0.01 which shows the test to be significant.
The decision rule would be to reject the null hypothesis and say the result is statistically significant.
A multiple regression model involves 5 independent variables and a sample of 10 data points. If we want to test the validity of the model at the 5% significance level, the critical value is:
Answers
Answer:
The critical value is 6.26.
Step-by-step explanation:
It is provided that there are 5 independent variables involved in a multiple regression model and the sample consist of 10 data points.
The critical value of F to test the significance of the model is:
[tex]\text{Critical Value}=F_{\alpha, (k, n-k-1)}[/tex]
Here,
k = number of independent variables
n = number of observations.
Then the critical value is:
[tex]\text{Critical Value}=F_{\alpha, (k, n-k-1)}[/tex]
[tex]=F_{\alpha, (5, 10-5-1)}\\=F_{0.05,(5, 4)}\\=6.2561\\\approx 6.26[/tex]
*Use a F-table.
Thus, the critical value is 6.26.
Diane has a rectangular poster that is 20 centimeters long and 15 centimeters wide. What is the area of the poster in square meters? Do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
0.03 square meters
Step-by-step explanation:
1. convert 20 cm, 15 cm into m by dividing the number by 100 then you got 0.2 m and 0.15 m respectively
2. calculate the area by multiply 2 numbers together
0.2 × 0.15 = 0.03 square meter
