Using the t-distribution, it is found that:
a)
The null hypothesis is [tex]H_0: \mu = 3.1[/tex]
The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]
b)
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.c) t = 1.853
d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
Item a:
At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:
[tex]H_0: \mu = 3.1[/tex]
At the alternative hypothesis, it is tested if the estimate is not correct, that is:
[tex]H_1: \mu \neq 3.1[/tex]
Item b:
This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05, hence, the critical value is [tex]t^{\ast} = 2.2[/tex].
Then, the decision rule is:
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.Item c:
We can find 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.The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]
[tex]t = 1.853[/tex]
Item d:
Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
A similar problem is given at https://brainly.com/question/24826023
Solve the following equations. 2x - 7 = 11
help me please it's urgent
Answer:
X=9
Step-by-step explanation:
2x-7=11
Add 7 each side
2x - 7 +7 =11 + 7
2x=18
Divide by 2 each side
2x/2=18/2
x=9
Answer:
x = 9
Step-by-step explanation:
2x - 7 = 11
Add 7 to both sides: 2x = 18
Divide by 2: x = 9
please help me with math !!
the diagram shows two parallel lines OP and RQ. Straight line PQ is parallel to the y-axis and O is the origin.
a) Find the equation of the straight line PQ.
b) Find the equation of the straight line RQ.
c) Find the x-intercept of the straight line RQ.
Answer:
a) x = 4b) y = 1.25x + 15c) (-12, 0)Step-by-step explanation:
a) PQ is parallel to the y-axis and contains point (4, 5).
It means its equation is:
x = 4b) RQ is parallel to OP.
Parallel lines have equal slopes.
Find the slope of OP:
m = 5/4 = 1.25RQ has slope of 1.25 and passes through (- 8, 5).
Find its equation using point-slope form:
y - 5 = 1.25(x - (-8))y - 5 = 1.25x + 10y = 1.25x + 15c) The x-intercept is determined at y = 0:
0 = 1.25x + 151.25x = - 15x = - 15/1.15x = - 12Which angle do ΔEBC and ΔADC share?
Answer:
The angle in C
Step-by-step explanation:
The oblique prism below has an isosceles right triangle base.
An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2).
What expression represents the volume of the prism, in cubic units?
One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2
The volume of the prism, in cubic units is 1/2x³ + x²
The volume of the oblique prism is given as:
V = Base area * Height
Given the following
Height = x + 2Base area = area of the triangleBase area = 1/2 (x*x)
Base area = 1/2 x²
Get the volume of the prism;
Volume of the prism = 1/2(x²)(x+2)
Volume of the prism = 1/2(x³+2x²)
Volume of the prism = 1/2x³ + 1/2(2x²)
Volume of the prism = 1/2x³ + x²
Hence the volume of the prism, in cubic units is 1/2x³ + x²
Learn more on the volume of prism here: https://brainly.com/question/23963432
Answer:
1/2x³ + x²
Step-by-step explanation:
edg
Help me please on question one and two
Answer:
can you show me a better picture your problems are cut off
Step-by-step explanation:
help pls please hmmm
Step-by-step explanation:
Here is your answer
(2)⁴*³2¹²Answer:
2^12
Step-by-step explanation:
Since 2^4 is already powered you will only power the 4 and not the 2
For example (a^2)^3 = a^6
and not a*a*a^6
You only power the 2 and not the "a"
Hope this helps!
A cross country race has 45 runners competing for first through fourth place. Complete the statement describing this situation. This is an example of a There are possible arrangements of first through fourth place winners.
"This is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners.
If a cross country race has 45 runners competing for first through fourth place, this statement is an example of a combination.
Combination has to do with selection. Since we are to select thee first four positions from the 45 runners. To get the possible number of arrangements, we will use the combination formula;
nCr = n!/(n-r)!r!45C4 = 45!/(45-4)!4!
45C4 = 45!/41!4!
45C4 = 45*44*43*42*41!/41!*4!
45C4 = 45*44*43*42/4*3*2
45C4 = 3,575,880/24
45C4 = 148,995
Therefore the correct statement is that "this is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners.
Learn more on combination here: https://brainly.com/question/11732255
answer: permutation and 3,575,880 (plato/edmentum)
Type the correct answer in each box. Use numerals instead of words.
Step-by-step explanation:
A
let's bring everything on the right hand side back under the square root :
8² = 64
(x³)² = x⁶
so, we get
sqrt(448x^c) = sqrt(64×7×x⁶×x) = sqrt(448×x⁷)
therefore, c = 7
B
similar to A let's bring everything on the right side under the cubic root :
4³ = 64
(x)³ = x³
cubic root(576x^d) = cubic root(64×9×x³×x²) =
= cubic root(576×x⁵)
therefore, d = 5
Write the formula for the volume of a rectangular solid of length " l, " width " w, " and height " h. " Write the variable equation/write formula using the variables
Select one:
V=lwh
V= (lw)/h
V=(hl)/w
V=(hw)/l
if shan has rupees 4800 left after spending 40% of his salary how much did he have in the beginning
Step-by-step explanation:
I think that's clear enough
Complete the tables of values.
Q1) y = x2 - 2x + 4
x -1 0 1 2 3
y
Answer:
2x(+4)x2
Y-1 0 1 5 2
Step-by-step explanation:
hope it help
will give brainliest plz help
on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?
Answer:
35 degrees.
Step-by-step explanation:
Answer:
35 degrees
Step-by-step explanation:
27 - 35 = -8
initial value on this table
Answer:correct me if I’m wrong but it’s 0.
Step-by-step explanation:
85-51=34. 34
—————=. —————=17
5-3. 2
And once 17 is the slope/rate of change,you can either go back 17 each time or….do an equation : f(x)=17(x-3)+51
Who every gets it right will get Brainly and 20points
Answer: Third multiple choice
Step-by-step explanation:
First answer:
Since the fraction is increased by 7, we need to check if the increasing factor is the same for the bottom part of the fraction:
[tex]2.54*7=17.78\neq 17.68[/tex]
The first answer doesn't match, we do the same for all three remaining answer.
2)[tex]12*7=84\neq 74[/tex]
3)[tex]36*7=252[/tex]
4)[tex]3.28*7=22.96\neq22.86[/tex]
In this case, the answer is the third multiple choice.
The base of a pyramid has n sides.
Write an expression for the number of vertices of the pyramid.
The answer to the question is n+1
May I please receive help?
Step-by-step explanation:
28^2+x^2=32^2
784+x^2=1024
x^2=240
x=15.49
x=~15.5
I need answer please the answer is not translation
Answer:
Dilation
Step-by-step explanation:
A dilation is where the size of the figure changes. The square gets larger and therefore undergoes a dilation.
Other transformations:
In a translation the figure slides or moves from its original position
In a reflection the figure is reflected across a given line
In a rotation the figure is rotated.
Tire King is having a sale where customers can buy 4 new tires for $ 319.96 . What is the unit price of the tires?
Answer:
each tire is 79.99
Step-by-step explanation:
Answer:
$79.99
Step-by-step explanation:
4/5 of a dollar is how many cents?
Answer:
4/5 of a dollar is 80 cents.Step-by-step explanation:
1 dollar = 100 cents=> 4/5 x 100=> 4 x 20=> 80 cents.Conclusion:
Therefore, 4/5 of a dollar is 80 cents.
Hoped this helped.
[tex]GeniusUser[/tex]
The value of cents in 4/5 dollars would be 80 cents.
Used the concept of measurement unit that states,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
Since we know that;
1 dollar = 100 cents
Hence we get;
The number of cents in 4/5;
4/5 x 100
4 x 20
80 cents.
Therefore, 4/5 of a dollar is 80 cents.
To learn more about the measurement unit visit:
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A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory
200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:
250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000
Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
Learn more about maths in https://brainly.com/question/25865591
The latest mystery novel cost $24 the table shows the sales of that this novel by a bookstore what was the dollar amount of the sales of the mystery novel on Saturday right in equation tomorrow to work
Day. Books sold
Thursday. 93
Friday. 103
Saturday 157
Sunday. 116
Answer:
$3768
Step-by-step explanation:
The amount of sales will be the product of the selling price of each book and the number of books sold.
sales = book price × number of books
sales = $24 × 157 . . . . . . . . books sold on Saturday
sales = $3768 . . . . . . . . . . . sales on Saturday
blank % of $10 = $5
thank u for anyone who helps!!
Answer:
50%
Step-by-step explanation:
Because you don't know the percentage, you can do 5/10, and you will get 1/2, or 0.5. 1/2 is 50%, so the answer would be 50%
the three altitudes of a triangle intersect at the:
Explanation:
An altitude of a triangle extends from one vertex to the opposite side, where this altitude is perpendicular to the opposite side. The term "altitude" is often interchanged with "height". Think of a tall mountain that has a lot of altitude, so it's got a lot of height.
Any triangle has 3 different altitudes (one per corner). For any triangle, those three altitudes always intersect at exactly one point: the orthocenter. This is one of the many centers of a triangle. Other centers are the centroid, incenter, and circumcenter.
Item 4
What is the expanded form of this number?
570.086
(5×100)+(7×10)+(8×110)+(6×1100)
(5×100)+(7×10)+(8×1100)+(6×1100)
(5×100)+(7×10)+(8×1100)+(6×11,000)
(5×100)+(7×10)+(8×110)+(6×11,000)
Answer:
10, 100. 70,700
Step-by-step explanation:
cuz qauntom of 11 77 divided by 11
can i please have help with this question
brainliest for answer
Answer:
yes I can help
Step-by-step explanation:
which one please
If Y varies directly with x , and y=15 when x=3 write the direct linear variation equation
Use the associative property to simplify the expression.
43 +30 + 70
O A. 43 + 10(3 + 7) = 43 + 10(10) = 143
O B. 43+ (30 + 70) = 43 + 100 = 143
O C. 43 + 30 + 70 = 73 + 70 = 143
O D. 43 + 70 + 30 = 113 + 30 = 143
Answer:
the answer is 143 cus u add throw
through
can someone explain to me what this means
Answer:
2*2*2*3*5
Step-by-step explanation:
It is saying that 120 is the same as 24*5, and that 24* 5 is the same as 5 *2*12, which is that same as 5*2*3*4, which is then the same as 5*2*3*2*2.
Answer:
2 x 2 x 2 x 3 x 5
Step-by-step explanation:
a piece of string 44 centermerters long.Many cuts of a piece that is 15 centermeaters long .how much string is left?