Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a patient that is considered normal, that is, the subtraction is not negative, hence:
[tex]H_0: \mu_S - \mu_N \geq 0[/tex]
At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:
[tex]H_1: \mu_S - \mu_N < 0[/tex]
Regarding each sample, the mean and standard deviation are found using a calculator.
[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]
[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]
We have the standard deviation for each sample, hence, the t-distribution will be used.
The standard errors are given by:
[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]
[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]
The distribution of the difference has mean and standard error given by:
[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]
[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
In which [tex]\mu[/tex] is the value tested at the hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]
[tex]t = -0.47[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]
Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
A similar problem is given at https://brainly.com/question/13873630
HELPPPPPPPPPP PLEASE
Answer:
The answer is in the above attachment.
Answer:
1. 6 x^8 y^5
2. 4 x^5 z^8
3. 12 a^9 b7
4. 6 s^9 t^3
Step-by-step explanation:
1. (3 x^2 y^4) × (2 x^6 y)
= [ (3×2) (x^2 × x^6) (y^4 × y) ]
= 6 x^8 y^5
2. [ (x z^3) × (4 x^4 z^5) ]
= (4 × 1) (x × x^4) (z^3 × z^5)
3. .........
4. ...........
Don't mind me, cause I'm busy
Among all the pairs of numbers whose difference is 18 18 , find the pair with the smallest product. What is the product?
Answer:2-b= 18-a+b now their product is F=a.b-f(b)=18+b)b Dt/db =18+2b-0=18+2b-0=9+b-9=b
so, that's our only critical point, run a first-derivative test on it, and you'll notice is a minimum
Step-by-step explanation:
What is 34% of 375?
Answer: 127.5
Step-by-step explanation:
Question: What is 34% of 375
Percentage solution with steps:
Step 1: Our output value is 375.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 375=100%
Step 4: Similarly, X=34%
Step 5: This results in a pair of simple equations:
375=100% (1)
X=34%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
375/X = 100%/34%
Step 7: Again, the reciprocal of both sides gives:
X/374=34/100
X=127.5
Therefore, 34% of 375 is 127.5
Pre college need help
Answer:
Yes
Step-by-step explanation:
Again substitute the values in and see if they give the same value or not
Which statement best explains the relationship between
lines AB and CD?
-They are parallel because their slopes are equal.
-They are parallel because their slopes are negative
reciprocals.
-They are not parallel because their slopes are not
equal.
-They are not parallel because their slopes are
negative reciprocals.
Answer:
they are parallel because their slopes are equal
Answer:
They are parallel because their slopes are equal.
Step-by-step explanation:
Find the slope using the points indicated on each line
The slope of AB
m = rise/run = 6/8 = 3/4
The slope of CD
m = rise/run = 3/4
They are parallel because their slopes are equal.
what is the area of the soccer field if x=40m?
base is 2x+20
height is x+20
A man earned £6500 for the month. He paid 2/5 in tax . How much did he have left to spend?
Answer:
$2600
Step-by-step explanation:
Im not too fond of the conversion of Pounds and USD. But if it were USD 2/5 of the amount would be $2600
Gina has 48 stickers 3/8 are flowers, 1/8 were plants, how many are people
Answer:
Hello!
Judging by the question you have provided I have deduced that the correct answer is:
24 people
Step-by-step explanation:
To come across this answer I assumed that [tex]\frac{3}{8}[/tex] of the stickers are flowers, [tex]\frac{1}{8}[/tex] of the stickers are plants, and the wrest of the stickers are people.
I then realized that I could look at the equation this way:
If we already know how many stickers are not people, we can then add up the amount of stickers we know are not people, and then subtract that amount from the total amount of stickers to figure out how many left can be people!
Which in this case would be:
[tex]\frac{3}{8}[/tex] (not people)+ [tex]\frac{1}{8}[/tex] (not people) = [tex]\frac{4}{8}[/tex] stickers that are not people, or if simplified [tex]\frac{1}{2}[/tex] or half of the total number of stickers.
We now know that half of the stickers are not people, so thus we can deduce that the other half of the stickers are people.
And half of 48 is:
24
Thus, 24 stickers are people!
And the other 24 have to be flowers and plants!
Evaluate the expression.
−12 ⋅ 1/3
Group of answer choices
4
-4
36
-36
Answer:
Option B. -4
Step-by-step explanation:
-12 x (1/3)
=> -12 ÷ 3
=> -4
Therefore, -4 is our answer.
Hoped this helped.
tret
) Write a system of equations to describe the situation below, solve using any method, and
fill in the blanks,
4) Miss Ellison is getting married soon. She would like to hire a professional who will come
to her house and do hair and makeup for the bridal party on her wedding day. She has
narrowed it down to two possible choices. A woman from Oxford Salon charges an initial fee
of $34 and then an additional $13 per hour. Alternatively, a team from Beauty by Charlie
offers a free consultation and then charges a higher hourly rate of $30. If it takes a certain
amount of time to finish everyone's hair and makeup, Miss Ellison will end up paying the
same amount either way. How long would that take? How much would Miss Ellison end up
paying?
hours, to finish everyone's hair and makeup, Miss Ellison will end up
It it takes
paying $
what is the midrange
Answer:
Midrange Formula. Midrange in layman terms is the middle of any data set or the simply the average, mean of the data. A midrange is a statistical tool which is also known as the measure of center in statistics. Along with the existence of the midrange formula means, medium, average, mode, and range are also known as the measure of central tendency.
Step-by-step explanation:
What is the solution of the system of equations?
your desmos graph is really weird as the point is between 4 and 8 but with the one y=-x+5 we can see that the y intercept is 5 and the x value is 0
so the point is 0,5
debbie used 40% of her flour for
cookies she started with 24 cups how many cups did debbie use?
Answer:
24 x 40% = 9.6
Step-by-step explanation:
the answer is Lil Debbie™ 9.6 cup used.
HELP WILL GIVE BRAINLIEST
Inequalities definition
Answer:
a inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Step-by-step explanation:
hope it helps :)
Answer:
In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities. If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
A group of 200 adults were asked whether they prefer getting their news from newspapers or from TV. The gender of the adults and their responses are
reported in the following table.
Newspapers
Women 30
Men 50
TV
52
68
(a) What percentage of the adults are women?
(b) What percentage of the adults prefer TV?
Answer:
41% of adults are women.
60% of adults prefer TV.
Step-by-step explanation:
Women 30 Newspaper 52 TV 82 In Total so the percentage would be 82 out of 200 which would be 41 therefore 41% of adults are women.
TV scores 52 + 68 = 120 therefore 120 out 200 is the percentage of the adults that prefer TV 60 therefore 60% of the adults prefer TV.
The percentage of the adults prefer TV is 60%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a group of 200 adults were asked whether they prefer getting their news from newspapers or from TV.
Here,
Newspapers TV
Women 30 52
Men 50 68
Number of women =30+52
= 82
a) Percentage of the adults are women
= 82/200 ×100
= 41%
b) Percentage of the adults prefer TV
Number of adults watch TV = 52+68
= 120
Here, 120/200 ×100
= 60%
Therefore, the percentage of the adults prefer TV is 60%.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
Twice a number plus eight times a second number is 19. Five times the first number plus seven times the
second is 15. Find the numbers.
Write two linear equations to represent a system to solve this, where X represents the smaller number and
y represents the larger number. Write the equations, but do not solve them.
Answer:
Step-by-step explanation:
2x + 8y = 19
5x + 7y = 15
make the subject x of the formula y = 7x + 4
Answer:
[tex]x = \frac{y - 4}{7}[/tex]
Step-by-step explanation:
[tex]y = 7x + 4 \\\\y - 4 = 7x\\\\\frac{y - 4}{7} = \frac{7x}{7}\\ \\ \frac{y - 4}{7} = x[/tex]
I know that x + 2 is a factor of P(x) = 2x^{3} + 5x^{2} + 5x + 6, but I just don't know how to do the second half
Answer:
explain it again
Step-by-step explanation:
i don't understand
Hey everyone! Can you help me out with this(for those wondering, these are test corrections, I plan to do half today and half tomorrow)
State whether the following relation is a function.
Answer:
no its not since some dots are above each other and fail the vertical line test
Hope This Helps!!!
Answer:
no the x value repeat
Step-by-step explanation:
Which expression is the factored form of
—4.5n +3
A. -1.5 (3n + 2)
B. -3(1.5n - 1)
C. -3(1.5n + 1)
D. -1.5(-3n + 2)
I didn’t mean to choose an answer in the picture btw
Let's check one by one
#1
[tex]\\ \tt\longmapsto -1.5(3n+2)=-4.5n-3[/tex]
No#2
[tex]\\ \tt\longmapsto -3(1.5n-1)=-4.5n+3[/tex]
Yes#3
[tex]\\ \tt\longmapsto -3(1.5n+1)=-4.5n-3[/tex]
No#4
[tex]\\ \tt\longmapsto -1.5(-3n+2)=4.5n-3[/tex]
Noslope=1/3 y intercept=-1
Answer:
3y=1 i hope it helps!
Step-by-step explanation:
Please hurry I have to do it in 2 minutes
Answer:
[tex]w-0.15 = 0.25[/tex]
Step-by-step explanation:
8. A bamboo plant is 10 centimeters tall at noon and grows at a rate of 5 centimeters every 2 hours. The height (in centimeters) is a function h(t) of the time t it grows. When will the plant be 20 centimeters tall?
Answer:
in 10 hours
Step-by-step explanation:
Answer: 4 hours
Step-by-step explanation: since the plant is already 10 centimeters, and it grows five centimeters every two hours, it only needs four hours to grow another 10 centimeters for it to be 20 centimeters.
5
Enter the correct answer in the box.
What is the standard form of function ?
f(x) = 4(x + 6)2 + 5
Substitute numerical values into the equation for a, b, and c.
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The standard form of the function is [tex]4x^2+48x + 149[/tex]
The standard form of an equationThe standard quadratic equation is expressed as:
[tex]y = ax^2 + bx + c[/tex]Given the vertex form of an equation expressed as [tex]g(x) = 4(x + 6)^2 + 5[/tex]
Expand the expression:
[tex]f(x) = 4(x + 6)^2 + 5\\f(x) = 4(x^2+12x + 36) + 5\\f(x) = 4x^2+48x + 149\\[/tex]
Hence the standard form of the function is [tex]4x^2+48x + 149[/tex]
Learn more on standard form here: https://brainly.com/question/19169731
a dance club had 3 times as many members as an art club. The art club has 3598 fewer members than the dance club. How many members did the art club have? show bar graph
Answer:
1799 members in the art club i think but i don't have a bar graph
Step-by-step explanation:
^^
(PHOTO) Please help me need this done by tomorrow thank you.
Answer:
2x+78=5x+15
78-15=5x-2x
3x=63
x=21
the ratio of milk to sugar in an iced coffee is 4 to 1. if you add 4 teaspoons of milk, how many teaspoons of sugar should you add?
Answer:
the answer is you need to add 1 teaspoon of sugar
Step-by-step explanation:
I will give Brainliesttttt :D!
A car's gas mileage is the distance it can go using 1 gallon of gas (measured in miles per gallon).
Based on the graph, what is this car's gas mileage? Explain.
Answer:
20 mpg
Step-by-step explanation:
Answer:
The car is traveling 20 miles per gallon.
Step-by-step explanation:
There are two ways you can solve this.
1) Since this is a graph of the car's gas mileage, all you have to do is look to find the miles for one gallon, which is plotted in this case. As you can see, for one, it is plotted halfway between 0 and 40, so that means the mile number would be 20. Looking at this, the car travels 20 miles per gallon.
2) You can also look at the point at the top that is clearly defined, and the point is (12, 240), 12 gallons used for 240 miles. To get the exact number of miles for one mile, you would divide 12 and 240 both by 12, which results in (1, 20). Since it is miles per gallon, the car gas mileage is 20 miles per gallon.
Hope this helped and have a great day!
Add or subtract. Write fractions in simplest form.
-9.24 + (-2.89)
how do i do this problem? please help, i will mark you brainliest!!
Answer:
-12.13
Step-by-step explanation:
To add two negative numbers, drop the negative signs and add the two positive numbers. Then make the answer negative.
-9.24 + (-2.89) =
We are adding two negative numbers, -9.24 and -2.89.
Step 1: ignore the negative signs and add the number 9.24 + 2.89
9.24 + 2.89 = 12.13
Step 2: the answer is negative, so add a negative sign to the sum above.
-9.24 + (-2.89) = -12.13