Answer:
Given data:
4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2Put the data in the ascending order:
1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8Mean, the average:
(1 + 2*5 + 3*4 + 4*4 + 5*2 + 6 + 8)/18 = 3.5Median, average of middle two numbers:
3Mode, the most repeated number:
2 (repeated 5 times)Mean is normally the best measure of central tendency, same applies to this data.
g A test was conducted to determine if there is a difference between Canadian and American average heart rates. A group of 36 Canadians and 34 Americans were randomly selected and their heart rates measured in beats per minute (bpm). The mean heart rate for Canadians was 68.5 and 70 for Americans. The pooled standard deviation of 2.0 beats/minute was calculated. Estimate a plausible range of differences between the mean heart rate of Canadians and Americans. What statistical procedure should be used to answer this research question
Answer:
The test statistic | t | =4.45
Step-by-step explanation:
Step(i):-
Given that the first sample size n₁ = 36
Given that the second sample size n₂ = 34
Mean of the first sample x₁⁻ = 68.5
Mean of the second sample x₂⁻ = 70
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}[/tex]
[tex]t = \frac{68.5-70}{\sqrt{2(\frac{1}{36}+\frac{1}{34} ) } }[/tex]
[tex]t = \frac{-1.5}{0.337} = -4.45[/tex]
The test statistic | t | = |-4.45| =4.45
The test statistic is given by t and t is calculated with the help of the test statistic formula. The value of t is 4.45.
What is test statistics?The test statistic summarises the observation data into a unique number using central tendency, the variation, sample, and size in your statistical model.
The given information will be shown below.
The first sample size n₁ = 36
The second sample size n₂ = 34
The mean of the first sample x₁ = 68.5
The mean of second sample x₂ = 70
Then the test statistic will be given as
[tex]\rm t = \dfrac{x_1 - x_2}{\sqrt{S^2 (\dfrac{1}{n_1}+\dfrac{1}{n_1})}} \\\\\\\t = \dfrac{68.5 - 70}{\sqrt{2 (\dfrac{1}{36} + \dfrac{1}{34})}} \\\\\\t = \dfrac{-1.5}{0.337}\\\\\\t = -4.45[/tex]
The test statistic | t | = |–4.45| = 4.45
More about the test statistic link is given below.
https://brainly.com/question/15236063
A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that more than 20 percent of the students will use them. A random sample of n students will be selected and asked whether or not they would use the vending machines. A large-sample test for proportions at the significance level of α = 0.05 will be performed. The null hypothesis that the proportion of all students who would use the vending machines is 20 percent will be tested against the alternative that more than 20 percent of all students would use them. For which of the following situations would the power of the test be highest?
A
The sample size is n = 750, and 20 percent of all students use the vending machines.
B
The sample size is n = 750, and 25 percent of all students use the vending machines.
C
The sample size is n = 1,000, and 25 percent of all students use the vending machines.
D
The sample size is n = 500, and 50 percent of all students use the vending machines.
E
The sample size is n = 1,000, and 50 percent of all students use the vending machines.
Answer:
E) The sample size is n = 1,000, and 50 percent of all students use the vending machines.
Step-by-step explanation:
CollegeBoard
For the following situations the power of the test be highest is, The sample size is n = 1000, and 55 percent of all students actually use the vending machines. So Option C is correct
What are the factors that affects the hypothesis test ?The power of the hypothesis test depends on three factors.
1. Sample size (n). Other things being equal, the greater the sample size, the greater the power of the test.
2. Significance level (α) : which is constant in this question.
(3) The "true" value of the parameter being tested. The greater the difference between the "true" value of a parameter and the value specified in the null hypothesis, the greater the power of the test.
Given that,
A random sample of n students will be selected
A large-sample test for proportions at the significance level of α = 0.05
The null hypothesis that the proportion of all students who would use the vending machines is 20%
Power of test would be highest,
For the largest sample size
Option C, has largest sample size
difference = true value - value specified in null hypothesis
= 55 - 20
= 35
both the conditions are satisfied for being a highest power of the test
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Salma has ridden 18 miles of a bike course. The course is 20 miles long. What percentage of the course has Salma ridden so far?
Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Which statement is true about the measure of angle R’??
Answer:
Angle R is an Angle
Step-by-step explanation:
This question has no photo or context
Which terms should Paul write in squares M1 and M2?
a a a a a a a aa aaa a a aaaa
Answer: it's 5x and - 4x
equation is 4 x² + x -5
the factors of -20 = - 4 × 5
4 x² + 5x - 4x -5
x ( 4 x +5) -1 ( 4x +5)
(x -1) (4 x +5
Have a awesome day❤️✨Step-by-step explanation:HELPPPPPPPPP Please
Answer:
x= 27/2
Step-by-step explanation:
Can someone help me on problem 2
Please ?
Answer:
x=48
Step-by-step explanation:
48/4=12
please mark brainiest
thank you
Carry out the following division.
Answer:
1: 8a²
2: 9a²b²c²
Step-by-step explanation:
1: 48a³ ÷ 6a
48÷6 = 8
8a²
2: 72a³b⁴c⁵ ÷ 8ab²c³
72÷ 8 =9
9a²b²c²
Sry , I could only solve the first one
i anyone knows this question i really need help on it think you.
Answer:
27/16
Step-by-step explanation:
Divide 3/8 by 2/9 by multiplyinh 3/8 by the reciprocal of 2/9
3/8* (9/2)
Multiply 3/8 times 9/2 by multiplying the numerator time the other numerator and denomator times the other denominator
3 * 9 = 27
8 * 2 = 16
Do multiplication in the fraction
27 /16
I bye a notebook for $8.00. It is on sale for 20% off.
What is the sale price?
Answer:
$6.40
^w^ -ash
The population of a city on April 15, 1915, was 47,175. During the period between March 1 and July 1, 1915, 1,325 new cases of smallpox occurred in the city. Of these cases, 642 persons were ill with smallpox according to surveillance reports on June 1, 1915. The monthly incident rate (per 1,000) of active cases of influence for the 4-month period was:
Answer:
the incidence rate is 28.47
Step-by-step explanation:
The computation of the monthly incident rate of active cases is shown below:
Incidence rate is
= 1325 ÷ (47175 - 642) × 1000
= (1325 ÷ 46533 ) × 1000
= 28.47
hence, the incidence rate is 28.47
Question
The perimeter of a rectangle is given by P = 2L + 2W. If a rectangle has a perimeter of 26 inches and a length of 7
inches, what is its width?
Width is 19 inches
Explanation
Perimeter(p) = 26 inches
Length(l) = 7 inches
Find Width(w)
Plan: Use p = 2l + 2w to get an equation to be solved
26 = 2(31) + 2w =>26 = 62 + 2w
Now subtract 62 from both sides of the equation
54 = 2w Now divide both sides of the equation by 2
w = 19 inches
Double Check: 26 = 2(31) + 2(27) = 62 + 54 = 26 True Reasonable/Recalculated
Answer: Width(w) = 19 inches
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What is the percent change from 22 to 41? Round to the nearest tenth.
well, the formula is (v2-v1) over |v1| times 100. if we plug in the values, then our answer would be 86.4% change, or 86.4% increase.
Pless help I want to hang my self
A rectangular prism has a length of 1į yards, a width of 25 yards, and a height of 4 yards. Enter the volume of the prism as a mixed number in simplest form in the box. yd3
Please anyone help me on this
Answer:
A: 0, -2
B: 10
Step-by-step explanation:
I did the math and then checked on the web
Directions: Solve for x. Round to the nearest tenth
1.
х
63°
16
3.) Use the distributive property to re write each expression. 5(2x+7)
Your answer
9(p-4)=-18 what does p equals ?
Answer:
2
Step-by-step explanation:
What is the different in the measures of angle WVX and angle WXV?
Answer:
wvx=57
wxv=180-149
=31
57-31
26
Joachim has as many marbles as Leanne. Leanne has as many marbles as Alex. If Alex has
36 more marbles than Joachim, how many marbles do they have altogether?
Answer:
76
Step-by-step explanation:
Please help me!
(-6) ÷(+2)=?
Answer:
-4
Step-by-step explanation:
Answer:
[tex] - 3[/tex]
Step-by-step explanation:
Dividing a negative and a positive equals a negative: ( - ) ÷ ( + ) = ( - )
[tex] - (6 \div 2)[/tex]
Divide the number:
[tex] - 6 \div 2 = - 3[/tex]
find m<1 in the rhombus below
Answer:
[tex] m \angle \: 1 = 120 \degree[/tex]
Step-by-step explanation:
Given figure is of a rhombus.
Measures of the opposite angles of a rhombus are equal.
Therefore,
[tex]m \angle \: 1 = 120 \degree[/tex]
determine the measure of each angle: x,y and z
PLS HELP
Answer:
x=42°
y=64°
z=68°
Step-by-step explanation:
Consider the triangle towards the right with 90° and 48° marked. The other angles must equal 42° (angles in a triangle add to 180, 42+48+90=180). This 42° angle is vertically opposite x, so x=42°.
The triangle that contains z also contains the angle 22° and 90° (because it is on a straight line with another 90° angle and the angles along a straight line add up to 180 (90+90=180)). Since the angles in a triangle add to 180, z=68°. (68+22+90=180)
The angles z, 48° and y lie along a straight line. Since the angles along a straight line equal 180 and since we know that z=68°, we can say y=64° (68+64+48=180)
Answer:
Solve for x: (use triangle sum theorem)
48+90+x=180
x = 42 (vertical angles)
Solve for y: (Find z first, then use triangle sum theorem)
68+48+z=180
y = 64
Solve for z: (triangle sum theorem)
22+90+z=180
z=68
If is an angle in standard position and
its terminal side passes through point
(-1/2,radical 3 over two)
on the unit circle, then a
possible value of theta is
1) 60°
2) 120°
3) 150°
4) 330°
The length of a photograph is 4 in. greater than its width. The area of the photograph is
52. in? What are the dimensions of the photograph?
Answer:
Step-by-step explanation:
The length of a photograph is 4 in. greater than its width. The area of the photograph is
52. in? What are the dimensions of the photograph?
The diagram below shows some measurements taken from a new bridge. How long is the bridge?
feet
Answer:
1,737.3 feet
Step-by-step explanation:
Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.
Let the missing leg for each triangle be x and y respectively.
Length of bridge = x + y
✔️x = √(1115² - 860²) = √503,625
x ≈ 709.7 (nearest tenth)
✔️y = √(1340² - 860²)
y ≈ 1,027.6 (nearest tenth)
✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft
NEED HELP MY GRADES DEPEND ON IT
Explain why segments AB and AC have the same length.
Answer:
Radius
Step-by-step explanation:
All the circle are passed through center of the each circle
The probability of getting heads on a single coin flip is
1
2
. The probability of getting nothing but heads on a series of coin flips decreases by
1
2
for each additional coin flip. Enter an exponential function for the probability p(n) of getting all heads in a series of n coin flips. Give your answer in the form a(b)n. In the event that a = 1, give your answer in the form (b)n.
The equation is p(n) = .
Answer:
I hope this helps :D
Step-by-step explanation:
4
It can be done a lot easier: instead of calculating the probability of one head, two heads, three heads, ... one just needs to calculate the probability of no heads: that is simply 0.5
0.5
n
. If you subtract it from 1, you get the probability you want: it's because that's the chance of not no heads, meaning at least one head. So, the formula is: 1−0.5
1
−
0.5
n
More formally: if X is throwing at least one head,
()=1−(¬)
P
(
X
)
=
1
−
P
(
¬
X
)
, where ¬
¬
X
is throwing zero heads.
How many total hours did the girls spend cleaning their home
Answer:
it should be 12
Step-by-step explanation:
because 3x4=12
Answer: 12
Step-by-step explanation: each girl spent 3 hours cleaning, their was 4 girls so 4 x 3 = 12