Answer:
a) The 95% confidence interval estimate of μ is (39.35, 42.5).
b) Second-year students tend to procrastinate more than first-year students
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 69 - 1 = 68
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 68 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9955
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9955\frac{6.85}{\sqrt{69}} = 1.65[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 41 - 1.65 = 39.35
The upper end of the interval is the sample mean added to M. So it is 41 + 1.65 = 42.65
The 95% confidence interval estimate of μ is (39.35, 42.5).
b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)?
The confidence interval for second-year students had higher values both at the lower and the upper end of the interval, which means that they tend to procrastinate more than first-year students
Mike, Tania, Bill, and Rachael each took many samples from the same
population of students. The number of students in each sample is shown in
the table. Which person's sampling distribution is most likely to closely
approximate the population distribution?
Person taking samples Students in each sample
Mike
79
Tania
23
Bill
37
Rachael
51
A. Tania
B. Mike
C. Bill
D. Rachael
Answer: Mike!
Step-by-step explanation:
How come the tutors don't work??
Answer:
What do you mean? If you are talking about the Community not always answering Questions well that means your they don't know the right Answer
the Mods are Annoying and very skeptic of the Guidelines of Brainly.
Which statement best explains the importance of examining multiple perspectives about an event?
It reinforces a specific opinion about the event.
It determines which accounts are biased about the event.
It provides different and sometimes opposing viewpoints about an event.
It requires the use of both primary and secondary sources to learn about the event.
Answer:
It provides different and sometimes opposing viewpoints about an event.
Pls help !! Pls no links :)
Answer:
A 5 <= A <= 40
Step-by-step explanation:
down point is (5, 50)
up point (40, 350)
so 5 <= A <= 40
HELP ON HOMEWORK PLS
Answer:
∠LPN = 57°
Step-by-step explanation:
arc LMN = 360° - 102° - 144° = 114°
∠LPN = 114°/2 = 57°
Please can anyone answer this question
What is the constant rate of change shown in the table?
2
4
6
8
Answer:
2
Step-by-step explanation:
Since with every 10 seconds, the distance increase by 20 meters
hence, 20/10 = 2
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME
Answer:
x = 10
Step-by-step explanation:
I made a right triangle with a leg of 6 (7-1), base of 7, and hypotenuse of 'x' and then used the pythagorean theorem:
6² + 8² = x²
100 = x²
x = √100
x = 10
I have this trigonometry worksheet, I just need help with questions from 18 to 28. thanks :)
Evaluate the expression [(18 ÷ 2 + 54 ÷ 9) × 2] × 2.
PLEASE EXPLAIN I KNOW ITS 60
Answer:
PEMDAS
Step-by-step explanation:
Answer:
[tex]=60[/tex]
Step-by-step explanation:
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex].
[tex]\left(18\div \:2+54\div \:9\right)\times \:2[/tex]
[tex]=15\times \:2[/tex]
[tex]=30[/tex]
[tex]=30\times \:2[/tex]
[tex]=60[/tex]
What percent of the cars passed through between 2pm and 2:59 pm
Answer:
Can you actually do your own work
Step-by-step explanation:
Do it yourself
Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?
Answer:So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches
Step-by-step explanation:
X = {1,3,5,7)
Y = {13,57}
Which of the following is the set XnY?
Answer:x is a letter in music.} 3. Determine whether each set is well-defined. If it is not well-defined, explain why, ... true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} ... Describe each of the following sets as either finite or infinite. ... 13 listened to heavy metal and alternative rock; 12 listened to rap and alternative rock;. or
x 2 - 2yZ = 7 with x = 2v + 1 and y = 2b + 1. These have solutions. (x, y; v, b) = (3, 1; 1,0), (5,3; 2,1), (13,9; 6,4),. (27,19; 13,9), (75,53; 37, 26), (157,111; 78, 55), .
Step-by-step explanation:
Please help me ASAP please
Answer:
Step-by-step explanation:
the first sounds like J/9=5, which in an equaiton could be written as 5=j/9.
Then to solve for j you can multiply both sides by 9. This would create j=45. Hopefully this is helpful!
Answer:
[tex]\frac{j}{9}[/tex] = 5 is the equation, j = 45 is the answer.
Step-by-step explanation:
J divided by 9 is 5.
[tex]\frac{j}{9}[/tex] = 5.
Multiply by 9 to find the answer.
j = 5 * 9
j = 45.
40 pts please help!
Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth.
a. C = 21.98cm and A = 38.47cm squared
b. C = 21.98cm and A = 153.86cm squared
c. C = 43.96cm and A = 38.47cm squared
d. C = 43.96cm and A = 153.86cm squared
Answer:
a.
Step-by-step explanation:
diameter 7cm
radius 3.5cm
area =πr²
=22/7* 3.5²
=38.47cm²
circumference=πd
=22/7* 7
=22cm
Answer:
a. C = 21.98cm and A = 38.47cm squared
Step-by-step explanation:
Diameter is twice the radius. Therefore radius, r, is 3.5cm.
Circumference = 2πr =2π(3.5)=7π=21.98cm
Area=πr²=π(3.5²)=12.25π=38.47cm²
The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier
Answer:
0.00621
Step-by-step explanation:
We solve the above question using the
Z score formula. This is given as:
z = (x-μ)/σ/√n
where
x is the raw score = 12.20 or earlier
This means x ≤ 12.20
μ is the population mean = 13.20
σ is the population standard deviation = 2
n is the random number of samples = 25
z = 12.2 - 13.2/2/√25
z = -1/2/5
z = -1/0.4
z = -2.5
Probability value from Z-Table:
P(x≤ 12.2) = 0.0062097
Approximately = 0.00621
Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621
Which of the following expressions is equivalent to (13 + 2) (13 - 2)?
a. 152 +112
b. 15² – 11²
c. 132 +22
d. 132 - 22
Answer:
d. 13^2 - 2^2
Step-by-step explanation:
The product of a sum and a difference is a difference of squares.
(13 + 2)(13 - 2) = 13^2 - 2^2
Answer: d. 13^2 - 2^2
PLEASE SOMEONE HELP ME WITH THE MATH!!! It's on the picture!!!
N is to the left of the zero which means it is a negative number.
P is the the right of zero which means it is a positive number.
A negative number is less than a positive number, so the answer would be:
The number with the least value is N
The number with the greatest value is P
Which of the following would be a possible alternate hypothesis for this null hypothesis?
Null Hypothesis: A 32 oz bag of chips contains at least 32 oz of chips.
a - A 32 oz bag of chips contains exactly 32 oz of chips.
b - A 32 oz bag of chips contains less than 32 oz of chips.
c - A 32 oz bag of chips might contain cookies instead.
d - One time, my buddy ate a whole 32 oz bag of chips.
Answer:
B
Step-by-step explanation:
Makes the most since
Surface area is always measured in square units. True False
Answer:
The answer is True.
Answer:
True
Step-by-step explanation:
Area is always measured in square units, also including surface area
Birth control pills have a theoretical annual efficacy of 99.5%, but a real-worls efficacy of only 95%. If a college student takes the pill for the four years she is in college, what is the probability that she will become pregnant at least once using the theoretical efficacy rate?
A. 0
B. 0.005
C. 0.020
D. 0.185
Answer:In my opinion B.0.005 is the correct answer
Step-by-step explanation:
hope it will help you
HELP PLS DUE NOW BRAINLIEST AND A THANKS
Answer:
D
Step-by-step explanation:
The researcher did no prediction or any (possible)
Hope this helps :)
A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should the person use?
Enter the mixed number as your answer.
The person should use
(Simplify your answer.)
cups
Answer:
l''kkk 1/2 cups
Step-by-step explanation:
To make 45 muffins the amount of flour required will be 6.25.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.
The amount of flour required will be calculated as:-
2 (1/2) flour ⇒ 18 muffins
2.5 flour ⇒ 18 muffins
2.5 x 2.5 flour ⇒ 2.5 x 18 muffins
6.25 flours ⇒ 45 muffins
Therefore, to make 45 muffins the amount of flour required will be 6.25.
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What is the amplitude of the function?
A)2
B)3
C)4
D)5
The amplitude of the function is the range A = 3
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the amplitude of the function be represented as A
Now , the value of A is
The range of the function = Amplitude x 2
And , Amplitude of the function A = | max - min | / 2
On simplifying , we get
A = | -4 - 2 | / 2
A = 6/2
A = 3
Therefore , the value of A is 3
Hence , the amplitude is A = 3
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What is the average rate of change for this exponential function for the
interval from x = 0 to x = 2?
A. -1.5
B. -4
C. 1.5
D. 4
Answer:
C i hope it helps
have a good night
what is 2.7 kg in g. i need a simple answer
since the great drought left the soil completely useless, the people of that country were forced to______ food from other countries
A. export
B. import
C. report on
D. sell
What is the answer?
Answer:
B import food from other countries
Helpppsppspspspspsp plssss
Answer: About 804.25
Step-by-step explanation:
Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle
The diameter of a circle on
a coordinate plane has endpoints at (2,3) and (2,8) what is the approximate area of the circle
A. 16 units squared
B. 20 units squared
C. 25 units squared
D. 79 units squared
Sin 17° cos 13° + cos 17° sin 13°
Answer:
.5
Step-by-step explanation:
Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)
sin(17+13) = 1/2