Imagine that two researchers, Bill and Ted, independently carry out clinical trials to test the same null hypothesis: H0: COX-2 selective inhibitors (used to treat arthritis) have no effect on the risk of cardiac arrest. They use the same population for their study, but Bill uses a sample size of 60 randomly selected subjects and Ted uses a sample size of 100 randomly selected subjects. Assuming all other aspects of their studies are the same, answer the following:
Required:
a. Whose study has the higher probability of a Type-II error?
b. Whose study has higher power?
c. Whose study has the higher probability of a Type-I error?
d. Should their alternative hypotheses be one-sided or two-sided? Explain
e. Suppose Bill’s analysis results in p-value = 0.03. What should be his conclusion?
Answer:
A) The 60-subject study will have the higher probability of a Type-II error.
B) 100-subject study will have higher power.
C) they will have the same probability of a Type-I error
D) Two tailed because either of the two results would be of interest
E) If p-value = 0.03, he should reject the null hypothesis if this p-value is less than the significance level. But if it's more than the significance level, he will fail to reject the null hypothesis.
Step-by-step explanation:
A) A type II error is an error that occurs when we accept the null hypothesis even though it is actually false.
Now, Smaller sample sizes usually would have a lesser chance of rejecting the null hypothesis even though it's false. Thus, the 60-subject study will have the higher probability of a Type-II error.
B) power = 1 - Pr(Type II error)
Since the 60-subject study has a higher probability of type II error it means it will have lesser power. Thus, 100-subject study will have higher power.
C) Type I error is when we incorrectly reject a true null hypothesis.
Pr(Type I error) = significance level
Now, since we are told that other aspects of their study are the same it means their significance levels are the same, it means they will have the same probability of a Type-I error
D) It should be two tailed because either of the two results would be of interest. It's either the drug was associated with more cardiac arrests or less potential treatment option.
E) If p-value = 0.03, he should reject the null hypothesis if this p-value is less than the significance level. But if it's more than the significance level, he will fail to reject the null hypothesis.
Identify the range of the graphed function.
Answer:
0<y<8
Step-by-step explanation:
So, as you can see by the graph, the y axis has a plot as low as 0. soo it would be 0. Then the highest plot is marked as high as 8. Therefore its 0<y<8.
Had a hard time wording it so i hope you understand.
The range of the function will be; Range = {y | 0<y<8 }. Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
We know that domain means all the possible values of x and the range means all the possible values of y.
So, as we can see by the graph, the y axis has a plot as low as 0. it would be 0. Then the highest plot is marked as high as 8.
The domain of the function is (0, 8] and the range of the function will be
Range = {y | 0<y<8 }
Then the correct option is A.
More about the function link is given below;
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Write another ratio that’s is equilevent too.4:6
Answer:
There is 4/6 as a fration or 4.6
Step-by-step explanation:
Answer:
2:3 is equivalent to 4:6
Step-by-step explanation:
I know that these ratios are equivalent because each side of the ratio 4:6, are divided by the same number, 2, 4 divided by 2 is 2 and 6 divided by 2 is 3 which gives us a equivalent ratio of 2:3
Abagail bought 5 cartons of apple juice at lunch. Each carton held 300 milliliters of juice. How many milliliters of apple juice did she buy in all?
Answer:
1500ml
Step-by-step explanation:
300 x 5 = 1,500ml
Please mark me brainliest! Hope this helps!
God bless :)
What percent do you actually pay if 40% discount
Answer:
60%
Step-by-step explanation:
A 40% discount means that 40% will be off, meaning you won't have to pay 40% of the original price. Therefore, you only pay 60% of the original price (100% - 40% = 60%).
Max ran 15 meters, this morning. this afternoon, he ran 48 meters how many more meters did he run this afternoon.
John and Amelia have a baby daughter Sonia John is 23 kg heavier than Amelia who is four times as heavy as Sonia their combined weight is 122. how heavy is each person
x+4x+4x+23
9x+23=122
122-23=99
9\99=11
J=67
A=44
S=11
11+44+67=122 kg
The weight of John, Amelia and Sonia are 67 kg, 44 kg and 11 kg respectively.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that
Let j , a and s be the weights of John, Amelia and Sonia respectively.
John is 23 kg heavier than Amelia.
j = a + 23
Amelia is four times as heavy as Sonia.
a = 4s ⇒ s = a/4
Their combined weight is 122.
j + a + s = 122
Substituting the above expressions of j and s in terms of a in the equation j + a + s = 122, we get,
(a + 23) + a + (a/4) = 122
2a + a/4 + 23 = 122
9a/4 = 122 - 23
2.25a = 99
a = 44
j = 44 + 23 = 67
s = 44/4 = 11
Hence the weight of each person is 67 kg, 44 kg and 11 kg.
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used to parallel lines cut by transversal below to answer the question. which statement is not a true statement will mark brainest
Answer:
B
Step-by-step explanation:
there is no angle e unless i am reading this incorrectly, but i double-checked all the other answer choices and they are all correct, so B is the answer:)
Answer:
see attached
Step-by-step explanation:
Charles made the following observation:
"When I divide two fractions, the divisor is larger than the quotient."
Which of the following equations would prove Charles's statement false? Select all that apply.
Answer:
Where is it?
Step-by-step explanation:
Answer:
Whats the Answer?????????
Step-by-step explanation:
How do u know wether two quantities x and y are proportional
Answer:
How do u know wether two quantities x and y are proportional?
Step-by-step explanation:
Every sum x + y is the same for related pairs of x and y.
I hope that helped, let me know if you need help with anything else.
) How many miles can the SUV travel on
25 gallons of gas?
miles
Answer: 1,000
Step-by-step explanation: after you find the answer for 20/3 divided by 1/6 equals 40 so you multiply 40 x 25 to get 1,000
The SUV can travel 425 miles on 25 gallons of gas.
What is a proportion?A proportion is an equation that sets two ratios at the same value.
We can use a proportion to solve this problem. The miles per gallon (mpg) of the SUV can be calculated by dividing the distance traveled by the amount of gas used:
MPG = distance/gas
So for the first case, we have:
MPG = 340 miles / 20 gallons = 17 miles per gallon
To find out how far the SUV can travel on 25 gallons of gas, we can use the same mpg and solve for the distance:
Distance = mpg x gas
Distance = 17 miles per gallon x 25 gallons
Distance = 425 miles
Therefore, the SUV can travel 425 miles on 25 gallons of gas.
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The complete question:
If an SUV travels 340 miles on 20 gallons of gas, how far can it travel on 25 gallons of gas?
Marcos sells video games that he purchases from a distributor. He buys
each game for $30. If there is a 60% markup, calculate the markup and
selling price.
Answer:
the mark up would be $18. so the total sales price would be $48.
Step-by-step explanation:
What is the correct next step to solve 3+2m=4m+1
A 3=2m+1
B 3+6m=1
C 3=6m+1
D 4=6m
If Jim can read an average of 20 pages in 40 minutes, how many hours would it take him to read a manual containing 90 pages?
Answer:
it takes him 180 kinutes to read 90 pages
125ml= how many cenimeters?
Answer:
150
Step-by-step explanation:
multiply the volume by 1
Answer:
12,500 cm
Step-by-step explanation:
ml × 100 = cm125 × 100 = 12,500I hope this helps!
A tractor trailer has maximum capacity of 8,000 pounds. The equipment needed to load
and unload the tractor trailer must travel with the trailer and weighs a combined 1,500
pounds. The trailer will be loaded with x containers, each of which weighs 300 pounds.
What is the largest value of x such that the trailer's capacity is not exceeded?
Answer:
subtract from the maximum load the 1500 of the loading equipment and you have 6500 pounds of capacity for the containers you divide this by 300 which is what each of the containers weighs gives you 21,666 which tells us that the maximum of containers is 21
8000-1500 = 6500
6500/300 = 21.66
Step-by-step explanation:
I need help please!!!!
melonie is 3 times older than her cousin their total of there ages are 36 how old is melonies cousin
Answer:
Her cousin is 12
Step-by-step explanation:
Use division
please help me solve this problem.. Piecewise Functions
Answer:
There is No solution to the question above.
Answer:
103
Step-by-step explanation:
Since x= 10, we need to use the second piece of the function x^2+3
f(x) = x^2 +3
Let x=10
f(10) = 10^2 +3
= 100 +3
= 103
Alison’s age is 16 more than half of Sam’s age. Using S to represent Sam’s age, write an expression that represents Alison’s age
Answer:
(s/2)+16=Alison's age
Step-by-step explanation:
Answer:
1/2S + 16.
Step-by-step explanation:
Lisa solved 40 math fact problems in 2 1/2 minutes.
And then she solved 80 math fact problems in 5
minutes. Which best represents her unit rate?
Answer:
Her unit rate remained the same
Step-by-step explanation:
80 is twice as much as 40. 5 minutes is twice as long as 2 1/2 minutes. Her unit rate never changed.
Answer:
her unit rate remained the same
Step-by-step explanation:
Magic lines
Can you put the numbers 2 to 8 in the circles so that every line
adds up to 15? You can use each number only once.
Answer:
Please see attached image
Step-by-step explanation:
The numbers on the upper row should be: 7 6 2
the number in the central disk should be 5
the bottom row should read : 8 4 3
The addition on top row: 7 + 6 + 2 = 15
the addition on bottom row: 8 + 4 + 3 = 15
the addition on the central vertical column: 6 + 5 + 4 = 15
diagonal going down: 7 + 5 + 3 = 15
diagonal going up: 8 + 5 + 2 = 15
BRAINLIEST TO FIRST PERSON WHO IS CORRECT
Answer:
11 1/4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is the five-number summary for this data set?
4,6, 10, 13, 18, 28, 34, 46, 50, 58
Assume the numbers in each answer choice are listed in this order: min, Q1,
median, Q3, max.
Answer:
4, 10, 23, 46, 58
Step-by-step explanation:
this is easy stuff bro, did u rlly have to look this up
answer this question for points, it could be anything
Answer:
brihuh monment
Step-by-step explanation:
subract 5 3/4 - 2 7/8
Answer:
2.875
Step-by-step explanation:
you have to change them into decimals. so 5 3/4 would be 5.75 and 2 7/8 would be 2.875. once you do that you can subtract
A radio station requires DJs to play 2 commercials for every 14 songs they play. What is the unit rate of songs to commercials? songs The unit rate is 1 commercial
The correct answer for this question is that the unit rate is 5:1. We can work this out by simplifying down the 2 commercials to every 10 songs ration, so that 10:2 becomes 5:1. We can work this out by halving the original ratio to simplify it.
What is the slope of the line represented by the equation 2x+3y= -12?
-3/2
-2/3
2/3
3/2
1 9/13 divided by 3/8
|
If you're dividing 9/13 by 3/8, then you have
(9/13) / (3/8) = (9/13) • (8/3) = 72/39 = 24/13
If you're dividing 1 + 9/13 by 3/8, then first write 1 + 9/13 as an improper fraction:
1 + 9/13 = 13/13 + 9/13 = 22/13
Then
(1 + 9/13) / (3/8) = (22/13) / (3/8) = (22/13) • (8/3) = 176/39
What is -9 + m + (-6) in simplest form?
Answer:
m-15
Step-by-step explanation: