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 1

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

Summary Information On The Heights Of 64 Bass And 42 Tenor Singers, All Men, In The New York Choral Society

Related Questions

Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14

Answers

Answer:

7√x = 14

Step-by-step explanation:

A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.

The equation which is a radical equation from the given answer choices is; 7 √x = 14.

What is a radical equation?

According to the task content;

It follows that we are required to determine the equation which is a radical equation.

On this note, the required equation is 7 √x = 14 because the variable is under a radical.

Read more on radical equation;

https://brainly.com/question/2292715

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Which graph represents a function with direct variation?

Answers

Answer:

Second graph with straight diagonal lines

Step-by-step explanation:

The second graph with straight diagonal lines represents the direct variation

The X and Y axis represents two variables A and B  and these two variables in case of second graph with straight lines are directly proportional to each other.

Hence, If value of variable A increases, then value of variable B will also increase

Answer:

I believe it's the third one

explanation:

its one of the only graphs that the line passes through the orgin, and its linear.

Hope it helps and plase forgive me if I'm wrong

find the mean 8,10,7,3,9,6,4,1

Answers

The mean is 6. Add all the numbers together and divide by how many numbers appear.

A study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region a random sample of peanut butter eaters were asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference. Which of the following tests is the most appropriate for the investigation?

Answers

Answer:

C- Chi-square test for Homogeneity

Step-by-step explanation:

Because you're looking for whether there are regional differences in peanut butter into 7 different samples, that means you're searching for i categorical variable in the 7 different random samples, making it a chi-square for homogeneity.

WHY IS NO ONE ANSWERING MY QUESTIONS

Answers

Answer:

perimeter = 2 * pie * r

r = 17 foot = 17/3 yards

3ft = 1 yard

perimeter = 2 * 3.14 * 17/3

= 2 * 22/7 * 17/3

= 44 * 17 / 21

= 35.605 yards

YAAAAY! WE FOUND THE ANSWER!!!! ITS THE OPTION B.35.605 LETS GET IT!!!!!

Step-by-step explanation:

So what I did was basically found the perimeter of the circle.. perimeter of circle is 2 multiplied by pie multiplied by r..and then I found the r value...and ye...we r finished.

STREAM LGO AND DYNAMITE

WE ARE ABOUT TO REACH 1B

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The expression 125 + 4n can be used to find the total price for n students to take a field trip to the aquarium. Determine the cost for 55 students to visit the aquarium.



Hurry plz

Answers

Answer:

125+ 4(55)

Step-by-step explanation:

345 is the answer

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in 2007, there were 12 male social workers in springfield. this is 18 fewer than 1/2 the number of female social workers. how many female social workers were in springfield?

Answers

Answer:60 female workers

Step-by-step explanation:12+18=30

30x2=60

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

The answer to this is (2,5)

Answer:

B: 2,5

Step-by-step explanation:

Step One: We must assume this is rotating in a clockwise rotation since it is not -90 and there is no mention of it otherwise.

Step Two: To do this problem, you need to know the 90-degree rotation formula: (b, -a). This means that we make the x-coordinate negative and then switch spots with the x and y coordinates.

Step Three: By following this formula, we would make -2 negative, which makes it positive. Currently, the equation is (5, 2). Now, we need to finish the formula by swapping places: (2,5). That is the answer.

what sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum​

Answers

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting [tex]A=8700,r=24,t=3[/tex], we get

[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]

[tex]8700=P\left(1+0.24\right)^{3}[/tex]

[tex]8700=P\left(1.24\right)^{3}[/tex]

[tex]8700=1.906624P[/tex]

Divide both sides by 1.906624.

[tex]\dfrac{8700}{1.906624}=P[/tex]

[tex]4563.0391729=P[/tex]

[tex]P\approx 4563.04[/tex]

Therefore, the principal value is about 4563.04.

Solve and graph and plot this on the line

Answers

x less than or equal to (< with the line underneath) -3 or x>0

HELP! LOOK AT THE PHOTO

Answers

Answer:

The answer to the question provided is 30.

Step-by-step explanation:

[tex]5x - 80 + 2x + 50 = 180 \\ 7x - 30 = 180 \\ \frac{ \: \: \: \: \: \: + 30 = + 30}{ \frac{7x}{7} = \frac{210}{7} } \\ x = 30[/tex]

[I apologize if the answer to the question is inaccurate]

Answer: 30

Step-by-step explanation:

on a double number line representes a heart rate in beats per min. how many minutes until the heart beats 300 times​

Answers

I honestly don’t know but I saw someone typing and if they send a link don’t click it, that same account has answered my questions with just a link, good luck tho

Answer:

60

Step-by-step explanation:

Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were s Subscript men Baseline equals 0.98 minutes and s Subscript women Baseline equals 1.02 minutes. (a) Is there sufficient evidence to support the claim that men and women differ in repeatability for this assembly task at the 0.02 level of significance

Answers

Answer:

There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task

Step-by-step explanation:

Given

Let subscript 1 represent men and 2 represent women, respectively.

[tex]n_1 = 25[/tex]

[tex]n_2 = 21[/tex]

[tex]s_1 = 0.98[/tex]

[tex]s_2 = 1.02[/tex]

[tex]\alpha = 0.02[/tex]

Required

Determine if here is enough evidence

First, we need to state the hypotheses

[tex]H_o: \sigma_1^2 = \sigma_2^2[/tex]

[tex]H_1: \sigma_1^2 \ne \sigma_2^2[/tex]

Next, calculate the test statistic using:

[tex]F = \frac{s_1^2}{s_2^2}[/tex]

[tex]F = \frac{0.98^2}{1.02^2}[/tex]

[tex]F = 0.923[/tex]

Calculate the rejection region;

But first, calculate the degrees of freedom

[tex]df_1 =n_1 - 1[/tex]

[tex]df_1 =25 - 1[/tex]

[tex]df_1 =24[/tex]

[tex]df_2 = n_2 -1[/tex]

[tex]df_2 = 21 - 1[/tex]

[tex]df_2 = 20[/tex]

Using the F Distribution:  table

[tex]c = \frac{\alpha}{2}[/tex]

[tex]c = \frac{0.02}{2}[/tex]

[tex]c = 0.01[/tex]

At 0.01 level (check row 20 and column 24), the critical value is:

[tex]f_{0.01,24,20} = 2.86[/tex] --- the upper bound

At 0.01 level (check row 24 and column 20), the critical value is:

[tex]f_{0.01,20,24} = 2.74[/tex]

Calculate the inverse F distribution.

[tex]f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365[/tex] ---- the lower bound

The rejection region is then represented as:

[tex]0.365 < Test\ Statistic < 2.86[/tex]

If the test statistic falls within this region, then the null hypothesis is rejected

[tex]F = 0.923[/tex] --- Test Statistic

[tex]0.365 < 0.923 < 2.86[/tex]

The above inequality is true; so, the null hypothesis is rejected.

This implies that, there is no sufficient evidence.

[(p^q)^r] is equivalent to [p^ (q^r)]​

Answers

Answer:

True

Step-by-step explanation:

Just write down the answer.

An aircraft seam requires 29 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 23% of all seams need reworking, what is the probability that a rivet is defective

Answers

Answer:

0.9995 = 99.95% probability that a rivet is defective

Step-by-step explanation:

For each rivet, there is only two possible outcomes. Either they are defective, or they are not. Rivets are defective independently of one another, each with the same probability, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

An aircraft seam requires 29 rivets.

This means that [tex]n = 29[/tex]

23% of all seams need reworking

This means that [tex]p = 0.23[/tex]

What is the probability that a rivet is defective?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{29,0}.(0.23)^{0}.(0.77)^{29} = 0.0005[/tex]

Then

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0005 = 0.9995[/tex]

0.9995 = 99.95% probability that a rivet is defective

The locations of three water pumping stations form a triangle on a map of the area. The distance

from station A to station B is 650 meters. The distance from station B to station C is 558 meters.

Answers

Answer:

There is a picture attached in which the drawing of the triangle is present.

Options are

1. less than 92 meters

2. Exactly 92 meters

3. Between 92 and 1208 meters

4. greater than 1208 meters.

Step-by-step explanation:

Correct answer is

3. Between 92 and 1208 meters

Reason is 92 cannot be the answer because hypotenuse of a triangle can not be smaller than base and perpendicular as per Pythagoras theorem.

Also it cannot be greater than 1208 as can be proven by Pythagoras theorem.

Therefore the correct answer has to be between 92 and 1208 meters.

for brainliest !!!! help

Answers

70 ft because 7 is bigger than 5 and 7x10=70

Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram. WILL NAME BRAINLIST!!!!!!!!!!!

Answers

Answer/Step-by-step explanation:

As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.

Help what’s the rule

Answers

doubling or quadruple

I CANT FOCUS ON THIS QUESTION CUZ ALL OF MY SEROTONIN IS FOR MY NEW DOG​

Answers

Answer:

B) 3 5/9

Step-by-step explanation:

Subtracting the mixed numbers gives you 3 5/9. Have fun with your new dog!

Unit 10: Circles ** please show how you got the answer ** i know the answer is 108° but i don’t know how to get it.

Answers

Answer:

108 degrees

Step-by-step explanation:

you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108

FREE BRAINLIST NEED HELP ASAP

Answers

Answer:

C. 904.78 cubic inches

Step-by-step explanation:

The volume of a cylinder = πr²h

=π(6²)(8)

=288π

=904.778684234 in³

Multiple Choice
What are the perimeter and area of a rectangle with a length of 20 in. and a width of 15 in.?
o A. P= 35 in., A = 300 in.2
O B. P = 70 in., A = 300 in.2
o C. P = 300 in., A = 70 in.2
o D. P = 35 in., A = 200 in.2


Answers

9514 1404 393

Answer:

  B.  P = 70 in; A = 300 in²

Step-by-step explanation:

The perimeter is the sum of the side lengths. Opposite sides are the same length, so the perimeter is ...

  P = 20 in + 15 in + 20 in + 15 in = 2(20 in +15 in) = 2(35 in)

  P = 70 in.

Only answer choice B has the correct value. (Its area figure is also correct.)

PLEASE JUST HELP!!!!!! Anyone!!!!

Answers

Answer:

the answer is 8 because 8 is 20% of 40

Hi there :D
I am struggling. I will mark brainliest!

Answers

Answer:

400.2

Step-by-step explanation:

A = π r l + π r²

l = √r² + h²

Solving for A

A = πr(r+√h² + r² ) = π · 6 · (6 + √14² + 6²) ≈ 400.20522 ≈ 400.2 (1 Decimal Place)

What is the slope of the line that passes through the points (1, -2) and (3, -5)?
A 2/7
B 7/2
C -2/3
D -3/2

Answers

slope= (y2-y1)/(x2-x2)

(-5-(-2))/(3-1)
- negative 2 would become a positive
(-5+2)/(2)
-3/2

the answer is d

Which equation is right​

Answers

Answer:

b.5²+12²=13² is your answer

What is the formula to find the area for a square, trapezoid, triangle,and a parallelogram​

Answers

square=a^2
trapezoid: a+b over 2 times height
triangle=bxh divide by 2
parallelogram= bxh

Answer:

for square its A=a2

for trapezoid its A=a+b/2h

for triangle A=hbb/2

for parallelogram A=bh

Step-by-step explanation:

Please help me if not that’s fine no links!

Answers

Answer:

30°

Step-by-step explanation:

53°+97°+x = 180°

The sum of three angles must equal 180°

Solve the equation.

150°+x = 180°

x = 180°-150°

x = 30°

Therefore, x = 30°

Geometry Question Need Help. I will give brainliest

Answers

Answer:

-4 + 5 + 1 is your answer I am the teacher of your Colony

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When Alfred reigned, the English already had a distinct national being; when Charlemagne reigned, the French had no national being whatever. The Germans of the mainland merely overran the countries that lay in their path; but the sea-rovers who won England to a great extent actually displaced the native Britons. The former were absorbed by the subject-races; the latter, on the contrary, slew or drove off or assimilated the original inhabitants. Unlike all the other Germanic swarms, the English took neither creed nor custom, neither law nor speech, from their beaten foes. 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(a) Show the allocation of dividends to each class of stock, assuming the preferred stock dividend is 7% and noncumulative. You invest $32,000 in an account that earns 5.75% interest compounded yearly. What isthe total amount of money you will have in the account after 20 years if you neverdeposit any additional funds? Compute r''(t) and r'''(t) for the following function. r(t) = (9t +6,t + 5,6) Find r'(t). r(t) = 0.00