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
if x squared by 3 equal 64 what is the value of x
Answer:
4
Step-by-step explanation:
x^3= 64
x= 64^1/3
x=4
Answer:
4
Step-by-step explanation:
4x4=16
16x4= 64
David can type a 50-page paper in 8 hours. Last month, David and Andy together typed a
50-page paper in 6 hours. How long would Andy take to type a 50-page paper by himself?
Answer:
12.5pages
Step-by-step explanation:
50pages ×6hours=300 and then we divide by 8 to get 37.5(the number of pages printed by david in 6 hours)
subtract 37.5 from 50 to find the number of pages printed by andy
Is this even possible?
Answer:
yes.
simply subtract the coupons from the total.
56.12-9.85= $46.30
what is 20+(5 X 2/5 )+ 3
Answer: 2x+ 23
Step-by-step explanation:
You can only simplify
the population of staten island is 7.6*10^3. the population of Brooklyn is 2.3*10^5. how many people are there in Brooklyn and Staten Island?
Answer:
1
Step-by-step explanation:
1
I need help!!!! I’m stuck!!!
Answer:
66.3
Step-by-step explanation:
Which statement is true?
D
Show Your Work
A The greatest common factor of 10 and 14 is 5
B. The greatest common factor of 10 and 15 iss.
C. The greatest common factor of 13 and 21 is 3
D. The greatest common factor of 14 and 21 is 3
Maurice's teacher asked him to compare the mean and median of the data distribution explain and correct Maurice's error in comparing the mean and the median
The first part where he mentions "The distribution is skewed right" is correct. The tail on the right hand side is pulled longer than it should be, or longer compared to the left tail. "Right skew" or "skewed right" is the same as "positively skewed". They all mean the same thing.
The portion where Maurice says "This implies that the mean is less than the median" is incorrect. This is where his error is located. The reason for the error is because it should be "The mean is greater than the median" when we have right-skewed data like this.
Here's one example to see why this is the case. Consider the distribution {1,2,3,4,5}. We can see that the median is 3 since it's directly in the center. The mean is also 3 since we add up all the values and divide by 5. Symmetric data has mean = median. Now, we'll replace the '5' with something much larger to get a large outlier. Let's say we have the set {1,2,3,4,55}. The median is still 3. The outlier doesn't pull on the median. However, the mean has changed and it is (1+2+3+4+55)/5 = 65/5 = 13. The mean went from 3 to 13. Therefore, mean > median here. The mean is affected by outliers. Think of it like the outlier is pulling on the mean in a sort of magnetic way. This outlier makes the mean larger than it should be. If the outlier is extreme enough, then it sometimes makes sense to consider the trimmed mean as opposed to the regular arithmetic mean. The trimmed mean is the mean of the main cluster of values ignoring the outlier(s).
-----------------------
To recap:
If we have right skewed data, then mean > median
As you can probably guess, if we had left-skewed data, then mean < median. In symmetric data, mean = median.
Find the volume of a cone with a base diameter of 6in and a height of 9in. Use the value 3.14 for π, and do not do any rounding. Be sure to include the correct unit in your answer.
Answer:
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Step-by-step explanation:
rex ex Tyri you RCB you in FM TV 36
Jerome is a co-worker of a small company and received 1/3 of the company’s profits this year. What were the company’s overall profits if Jerome made 150,000? Type an equation and solve
Answer:
The company's overall profits were 450,000.
Step-by-step explanation:
We know that Jerome received 150,000. This 150,000 also counts as 1/3 of the profit, so if we put it as an equation, it gives us this:
1/3x = 150,000 We need to work out how much the overall profits are, which I've labelled as x.
x = 450,000 Here we multiply 150,000 by 3 to get x on its own, or you could also divide by 1/3.
I hope this makes sense to you. ^-^ If not, do let me know.
Fred buys 16 bags of tortilla chips and 28 jars of salsa dip. What is the ratio of salsa jars to bags of tortilla chips? Simplify your answer.
pretty pls help with this questionn pls i need helpp
PLEASE HELP!!! K Is the midpoint of JL Find JK,LK and JL
Answer:
6x+1 = 8x - 7
8 = 2x
x = 4
JK = 6*4+1 = 25
KL = 8*4 - 7 = 25
In 2007, Bob Jones University ended its fall semester a week early because of a whooping cough outbreak; 158 students were isolated with suspected infection and another 1200 given antibiotics as a precaution.14 Authorities react strongly to whooping cough outbreaks because the disease is so contagious. Because the effect of childhood vaccination often wears off by late adolescence, treat the Bob Jones students as if they were unvaccinated. It appears that approximately 1400 students were exposed. What is the probability that at least 75% of these students would develop infections if not treated
Answer:
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
Step-by-step explanation:
Let Y be the no. of infections
The number of students who have been exposed to whooping cough is as follows:
n = 1400
n = 1400 and p = 0.8
nm = 1400 x 0.8
nm = 1120
n(1-m) = 1400 x (1-0.8)
n(1-m) = 280
Here,
Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.
The mean and standard deviation of number of new infections is:
u = np
u =1400 x 0.8
u = 1120 = mean
SD = Standard Deviation
SD = [tex]\sqrt{1120(1-0.8)}[/tex]
SD = 14.966
The number of infections is distributed in an approximately normal way
N(1120,14.966)
75% of 1400 means 0.75 x 1400 = 1050
So,
Probability required.
P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5) (Continuity Correction)
P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\geq[/tex] -4.71)
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)
Using the z table:
P (Y[tex]\geq[/tex] 1050) ≈ 1
Hence,
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
(Need help) (ASAP)
Point: 18
Answer:
10
Step-by-step explanation:
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of minutes and standard deviation of minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, customers in the first line and customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer one is more than minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76).
Answer:h
Step-by-step explanation:
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1,3).
A)
y = -x +
16
5
B)
y = -5x - 5
16
y = 5x + 10
D)
y=-x-2
Which group has more people?
Answer:
Daytime people.
Step-by-step explanation:
Evening people have 125.
Daytine people have 140.
Answer:
B
Step-by-step explanation:
sorry if I am wrong
but you got what it takes to do it ⭐⭐⭐⭐⭐
The height of a right cylinder is 6r, where r is the radius. Write a function f in simplest form that represents the ratio of the surface area to the volume.
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In 2008, the world record for swimming the 50 meter freestyle event was 21.34 seconds. Supposing the athlete swam at a constant rate what was his speed? Round your answer to the nearest hundredth m/s.
Answer:
Speed of swimmer = 2.34 m/s (Approx.,)
Step-by-step explanation:
Given:
Distance covered in world record swimming = 50 meters
Time taken by free style swimmer = 21.34 seconds
Find:
Speed of swimmer
Computation:
Speed = Distance / Time taken
So,
Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer
Speed of swimmer = 50 / 21.34
Speed of swimmer = 2.34 m/s (Approx.,)
In ΔRST, the measure of ∠T=90°, RS = 4.9 feet, and ST = 2.7 feet. Find the measure of ∠S to the nearest tenth of a degree.
Step-by-step explanation:
step 1. a diagram is important and can be uploaded. you will get a quicker answer with a diagram
step 2. triangle RST is a right triangle so we can use trigonometry to find <S
step 3. the adjacent side of <S is ST and the hypotenuse is RS so we will use cos
step 4. cosS = adj/hyp = ST/RS = 2.7/4.9
step 5. <S = 56.6° using inverse cos.
Answer:
42.43
Step-by-step explanation:
This is because you had to divbide by 3
Ali is cutting 3/8 in. Cookie dough slices from a 10 1/2 in. long roll how many does she get
Answer:
28 slices
Step-by-step explanation:
Take the length of the roll and divide by the size of the slice
10 1/2 ÷ 3/8
Change the mixed number to an improper fraction
(10*2 +1) /2 ÷ 3/8
21/2 ÷ 3/8
Copy dot flip
21/2 * 8/3
Rewriting
21/3 * 8/2
7 * 4
28
You will get 28 slices
Please help will give brainliest answer
7. How do you write a deposit of $15?
You would need to generate a deposit slip or utilize an electronic banking system to send the funds into your account to deposit $15.
What is a deposit slip?A deposit slip is a little paper form that is included by a bank customer when depositing payments into a bank account.
To write a deposit of $15, you would need to create a deposit slip or use an electronic banking system to transfer the money into your account.
To write a deposit slip, you would need to follow these steps:
Obtain a deposit slip from your bank or financial institution, or use a deposit slip provided by your bank's mobile app.
Fill in your personal and account information, including your name, account number, and any other required information.
Indicate the amount of the deposit, in this case $15, in the designated area on the deposit slip.
If you are depositing checks or other negotiable instruments, list the details of each item in the designated area on the deposit slip, including the payee, check number, and amount.
Review the deposit slip for accuracy and completeness, and make any necessary corrections.
Submit the deposit slip and any accompanying cash or checks to a bank teller or use an ATM or mobile app to complete the deposit.
Learn more about the deposit slip here:
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#SPJ2
A line segment has endpoints at(2,4) and (6,10). What are the coordinates of the midpoint of the line segment?
Answer:
I think the midpoint is (4,7)
Step-by-step explanation:
How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.
Answer:
8 cm
Step-by-step explanation:
Just multiply 3.2 by 2.5
3.2 x 2.5 = 8
Answer:
Sure, your answer is 8
Step-by-step explanation:
3.2 * 2.5=8
Name two angles that are adjacent to
At the market Sydney put a few pairs in a bag then ways the bag on a product scale the bag pairs way 4.75 pounds she adds more pairs to the bag the new way of the bag is now 5.6 pounds right and solve an addition equation to find the weight of the pairs added to the bag?
Answer:
0.85 pounds
Step-by-step explanation:
We start with a bag that weighs 4.75 pounds and want to find the weight of the pairs added to the bag.
Let x equal the weight of the pairs added to the bag.
We can write an equation containing 4.75 pounds and x, and solve for x to find this weight value.
y = 4.75 + xWe know that the final weight of the bag is 5.6 pounds, so we can substitute this value for y.
5.6 = 4.75 + xSubtract 4.75 from both sides of the equation.
0.85 = xThe weight of the pairs added to the bag is 0.85 pounds.