Summary information on the heights of 64 bass and 42 tenor singers, all men, in the New York Choral Society is given. The vocal range of bass voice part is lower in pitch than the alto voice part. Use 1% level of significance to determine whether the population mean height of bass singers is greater than the population mean height of tenor singers.
Answers
Answer:
Hello your question has some missing information below is the missing information
Sample mean and Sample standard deviation
Bass 70.99 and 2.52
Tenor 69.41 and 2.79
answer : We will reject H0
Step-by-step explanation:
Determine whether the population mean height of bass singers > population mean height of tenor singers
n1 = 64 , n2 = 42
x1 ( mean ) = 70.99
x2( mean ) = 69.41
S1 ( std 1 ) = 2.52
S2 ( std 2 ) = 2.79
We will perform a two tailed test hence we will state the null and alternate hypothesis
H0 : μ1 > μ2
H1 : μ1 < μ2
significance level = 0.01
next calculate the test statistic
t = 2.96
attached below is the remaining part of the detailed solution
Related Questions
PLEASE HELP 100 points I’m on a time(there’s a picture) With respect to air safety, in which year between 1966 and 1976 did the lowest number of air fatalities occur, and how
many passengers were killed in that year?
Year:1976,1974,1975
Passengers killed: 552,441,386
Answers
Looking at the column for number of passengers killed.
The lowest year was 1975 with 441 killed.
Answer:
1975
441
Step-by-step explanation:
Traci has 8 yards of fabric. She uses 10 feet of this fabric to make pillows. How much fabric does Traci have left
Answers
Answer:
She has 14 feet left
Step-by-step explanation:
1 yard = 3 feet of fabric
8 yards x 3 feet/yard = 24 feet
24 - 10 = 14 feet
Mary is having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.
A) If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least.
B) Splash of Color will always charge the least.
C) If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective.
D) If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA.
E) If it takes 3 hours to paint the rooms, both companies will charge the same amount.
Answers
Answer:
A and E
Step-by-step explanation:
A) 7 hrs in IDU will cost you $305.00 while SC cost $385
B) 4hrs in and SC will charge you more than IDU by $20
C) SC charges you more than IDU by $50 so IDU is more cost effective
D)SC will charge you $140 more than IDU but not $200
E) 55 x 3 = 165 while 35 × 3 105 plus 60 is 165 therefore it is the same
What is the simplified value of the expression below?
StartFraction 7 times 8 + 20 (4.5) over 16 times 0.5 EndFraction
18.25
21.38
110.25
119.50
Answers
Answer:
C: 110.25
Step-by-step explanation:
The simplification form of the provided expression is 18.25 option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have a mathematical expression:
[tex]= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}[/tex]
= (56 + 90)/8
= 146/8
= 18.25
Thus, the simplification form of the provided expression is 18.25 option (A) is correct.
Learn more about the expression here:
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Which graph represents exponential decay?
On a coordinate plane, a straight line has a negative slope.
On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up in quadrant 1.
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2.
Answers
The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2 thus, option (D) is correct.
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
As per the given,
The exponential function is a function that changes rapidly, for example, y = 6^x here as x approaches higher the y approaches rapidly higher.
Exponential decay is the exponential function that rapidly decreases as x increases for example y = 6^(-x).
The graph of the exponential decay has been graphed below.
Hence "The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2".
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Answer:
D
Step-by-step explanation:
edge
hope this helps :)
Cynthia says that when you evaluate the expression (21 3/4 + 4 1/2) - 5 3/12 you get a whole number. What whole number do you get?
Answers
Answer: 21
Step-by-step explanation:
First, convert the mixed fractions to improper fractions.
(87/4 + 9/2) - 21/4
Next, calculate within the parentheses:
87/4 + 9/2
Next, change the denominator of 9/2 to 4. To do that, multiply the denominator of 9/2 to get 4 to match the denominator of the first fraction. 9/2 * 2/2 = 18/4.
87/4 + 18/4 = 105/4
Then, 105/4 - 21/4 = 84/4
Finally, divide 84 by 4 and you get 21.
5. In a right triangle, the sum of the lengths of the two legs is 100 meters. What are the lengths of the three sides
of this right triangle if the triangle's area is maxed out?
Answers
Answer:
6m by 8m by 10m
Step-by-step explanation:
6²+8²= 100
36+64=100
100=100
Please help! What is the volume of the cone?
Answer and explanation please! <3
Answers
Answer: V≈804.25
Step-by-step explanation:
V=πr2h
3=π·82·12
3≈804.24772
the sum of 8 and joses score is 35 use the variable j yo represent josés score
Answers
Answer:
8 + j = 35
subtract 8 from both sides
j = 27
Step-by-step explanation:
What probability statement would you add to P(blue) = 1 10 to make a complete probability model for the event choosing a foam ball at random from the box?
Answers
Answer:
The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth. This problem asked us to find some probabilities involving a spinner.
Find dy/dx
for 4 tan^2x - xy^2= sin2y by using implicit differentiation
Answers
Answer:
Y=bx+c
Step-by-step explanation:
That should be right
Answer:
Y=bx+c
Step-by-step explanation:
Please help question in the picture
Answers
Answer:
64 m²
Step-by-step explanation:
Area of the trapezoid = ½(a + b)h
Where,
a = 6 m
b = 10 m
h = 8 m
Plug in the values
Area = ½(6 + 10)*8
Area = ½(16)*8
Area = 8*8
Area = 64 m²
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answers
Answer:
[tex] \sqrt{18 } is \: a \: \: answer \: pls \: follow \: me[/tex]
Answer:
Step-by-step explanation:
-3i Square root of 2
You invest $17,804 in a CD that has a 6.275% annual interest rate, compounded continuously. How much will you have in 25 years?Round to the nearest cent.
Answers
Answer:
R = 3.813% per year.
Step-by-step explanation:
A = Accrued amount (principal + interest) P = Principal amount r = Annual nominal interest rate as a decimal R = Annual nominal interest rate as a percent r = R/100 n = number of compounding periods per unit of time t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years. I = Interest amount ln = natural logarithm.Unit 10 circles homework 2 back side
Answers
Solve each division problem, and classify it based on its quotient.
Answers
Answer:
show the image so i can answer
plz put the image so i can see cus there are two types
How do I do this: 16 divided by 0.05
Answers
Answer:
320
Step-by-step explanation:
Step 1: Estimate the answer by rounding .
Step 2: If the divisor is not a whole number, then move the decimal place in places to the right to make it a whole number.
Step 3: Divide as usual.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Answer: 320 is the correct answer
Step-by-step explanation:
To answer this questions is simple, you can see it as a long division question or regular division
Regular division:
16 ÷ 0.05 = 1600
(You can transform this into a simple non-decimal question and solve easliy)
1600 ÷ 5 = 320
This is the way to solve these type of questions without straining your brain in the process.
I’ll mark as BRANLIEST!!
35 POINTS!!
- Determine whether each table or rule represents a linear or exponential function. Explain why or why not.
Answers
2 is exponential because of an exponent being the modified variable
3 is linear because it is just multiplication which is a simple pattern
Answer:
Definitions of gravitational force. (physics) the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. synonyms: gravitation, gravitational attraction, gravity.
Jacqueline is ordering pizzas for a party. Each pizza is cut into 12 slices. Jacqueline wants to have enough pizza so each person can have 4 slices. 16 people will be at the party. If Jacqueline buys 7 pizzas, how many extra slices will be left over after each guest eats 4 slices?
Answers
Answer:
20
Step-by-step explanation:
Just write down the answer.
An equilateral triangle has a side length of 10 units. What is it’s area?
Answers
Answer:
[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.
The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]
x
What are the perimeter and area
of a square with side length of 12 in.?
A. P= 24 in., A = 24 in.?
B. P= 144 in., A = 48 in.2
O
C. P = 24 in., A = 144 in.2
O
D. P= 48 in., A = 144 in.2
Answers
Answer: P = 48 in, A = 144 in.2
Step-by-step explanation: Since a square has equal sides and we know one side length is 12 inches, then all the sides are 12 inches. For perimeter, we add all sides, which would equal 48 and for area, we multiply 2 of the sides, which would be 144.
Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes below.
a) n=14
b) n = 28
c) n = 45
a) The margin of error for a 90% confidence interval when n = 14 is
(Round to two decimal places as needed.)
b) The margin of error for a 90% confidence interval when n=28 is
(Round to two decimal places as needed.)
c) The margin of error for a 90% confidence interval when n = 45 is
(Round to two decimal places as needed.)
Answers
Answer:
a) The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is 10.02.
Step-by-step explanation:
The t-distribution is used to solve this question:
a) n = 14
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 = 14 - 1 = 13
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) n = 28
27 df, T = 1.7033
[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]
The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is
44 df, T = 1.6802
[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]
The margin of error for a 90% confidence interval when n = 45 is 10.02.
please help me someone i really need this to get my grade up :(
Answers
Answer: D
2 1/2 divided by 1/4 = 10
hope this gets ur grade up keep trying ur best!! :D
What is the approximate area of this figure?
A. 25 cm
B. 31 cm
C. 38 cm
D. 42 cm
Answers
Answer:
I would say about B. 31 cm
Step-by-step explanation:
if you cut the shape into a triangle and a parallelogram, then you can easily guess that the other side of the square is about 4, and 4 x 4 is 16.. then you will multiply 8 by 4 and get 32 and then divide that by 2 and get 16 again, when you add both 16's together, you get 32, but 31 is closest
20 POINTS FOR ANSWERING ALL PARTS
Answers
Answer:
wont let me download
Step-by-step explanation:
If X = 12 inches, Y = 16 inches, and Z = 20 inches, what is the tangent of
Answers
Answer:
who do pow en odd an odd an 9 all 9 FM
What is the solution to this equation?
In(2x + 4) = ln(x + 3)
Answers
The solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is [tex]x=(-1)[/tex] .
What is log ?A logarithm is the power to which a number must be raised in order to get some other number .
We have,
[tex]ln(2x + 4) = ln(x + 3)[/tex]
Now, apply log rules
As we have [tex](ln)[/tex] on both which will be cancel out,
⇒
[tex]2x+4=x+3[/tex]
[tex]3x=3-4[/tex]
[tex]x=(-1)[/tex]
So, on getting solution to the given equation we get the value of [tex]x=(-1)[/tex] .
Hence, we can say that the solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is [tex]x=(-1)[/tex] .
To know more about log click here
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Find the highest common factor(HCF) of 18 and 24
Answers
24 - 2,4,6,8,12
HCF = 8
Frank has 6 red socks, 8 black socks, and 10 white socks in his sock drawer. If Frank blindly reaches into his sock drawer, what is the probability that he will select a white sock and then another white sock? Round to the nearest percent A. 9% B. 16% C. 41% D. 80%
Answers
Answer:
B
Step-by-step explanation:
The first probability is 10/24, and the second is 9/23. If you multiply these two fractoins you get 15/92. 15/92 is approximately equal to 16%.
What is the missing length?
Answers
This is because the area of a rhombus is A=sh
since the height is 4 mm, and the area is 12mm^2 the length is 3
