A data set includes 40 pulse rates of men, and those pulse rates have a mean of 67.3 beats per minute and a standard deviation of 10.3 beats per minute. Construct a 99% confidence interval estimate of the standard deviation of the pulse rates of men.a) 8.4 beats per minute

Answers

Answer 1

Answer:

The 99% confidence interval of the  standard deviation of the pulse rates of men is  

       [tex][ 7.949 \  \ , \  14.387 ][/tex]

Step-by-step explanation:

From the question we are told that

  The  sample size is  n  =  40

  The mean is  [tex]\= x = 67.3 \ beats \ per \ minute[/tex]

  The standard deviation is  [tex]s = 10.3 \ beats \ per \ minute[/tex]

Generally the degree of freedom is mathematically represented as

     [tex]df = n- 1[/tex]

=>  [tex]df = 40- 1[/tex]

=>  [tex]df = 39[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the chi distribution table the critical value  of   at a degree of freedom of is  

   [tex]X^2 _{\frac{\alpha }{2} , 39} =  65.476[/tex]

Generally from the chi distribution table the critical value  of   at a degree of freedom of is  

   [tex]X^2 _{1- \frac{\alpha }{2} , 39} =  19.996[/tex]

Generally the 99% confidence interval of the standard deviation of the pulse rates of men is mathematically represented as

  [tex]s \sqrt{\frac{n- 1}{X^2_{1- \frac{\alpha }{2} , n-1} } }\  \ , \ s \sqrt{\frac{n- 1}{X^2_{\frac{\alpha }{2} , n-1} } }[/tex]

=>  [tex]10.3 \sqrt{\frac{40- 1}{65.476} }\  \ , \ 10.3 \sqrt{\frac{40- 1}{19.996} }[/tex]

=>  [tex][ 7.949 \  \ , \  14.387 ][/tex]

   


Related Questions

Jorge Martin y Andres compraron una pieza grande de que
so en oferta y la dividieron en partes iguales. Jorge le regalo
a su hermana la mitad del queso que le toco que parte de
todo el queso recibió la hermana de Jorge??​

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Answer:

theres no numbers and its in Spanish

what is 3/4 multiple by 114/5​

Answers

Answer:

17    1/10

Step-by-step explanation:

17 is the whole number

Which algebraic expression represents the amount of money four friends will pay to split the cost of a $20.00 gift?

A) f + 20
B) 20f
C) 20 ÷ f
D) f ÷ 20

Answers

the answer is C) 20 / f

3.2 x 10-2 +3.2 x 10-4 +
28 x 10-2

Answers

Answer:

336 I assume if using PEMDAS

Step-by-step explanation:

omg pls helppppp brainliest for who answers first

Answers

Answer:

The length is 20 m, the width is 10 m, and the area is 200 m.

Step-by-step explanation:

Here is why, since the length is 16 cm we first divide by 4 then multiply by 5. When we divide by 4 we get 4 and when we multiply by 5 to get 20. Then, we do the same for the width to get 10. Lastly, we just multiply both together.

What is the value of f(-3)?

Answers

Answer:

3) -11

Step-by-step explanation:

f(-3)=5*(-3)+4

f(-3)=(-15)+4

f(-3)=-11

Given:

f(x) = 5x + 4

To Find:

f(-3)

Answer:

(3) -11

Step-by-step explanation:

Evaluate 5x + 4 where x = -3:

[tex] \longrightarrow [/tex] 5(-3) + 4

5(-3) = -15:

[tex] \longrightarrow [/tex] -15 + 4

4 - 15 = -11:

[tex] \longrightarrow [/tex] -11

2.4 x 24.12 need help I’m stuck help

Answers

Answer: 57.888

Step-by-step explanation: you have to use long multiplication to evaluate

Answer :

Person above me got it right (57.888)

Quadratic Equation.
Solve the following:
a) a(a-9) = 0 b) 2m(m-5)=0 c) 3r(4r-5)=0

Answers

a) a1=0 a2=9
b)m1=0 m2=5
c)r1=0 r2=1.25 or 5/4

(PLS HLEP ASAP!! I WILL GIVE BRAINLIEST IF U HELP MEEEE ;-;!!)

(Btw u have to use fraction models to solve it )

Answers

Answer:

4 1/4

Step-by-step explanation:

Answer:

4 1/4

Step-by-step explanation:

1 1/2 + 2 3/4

= 3/2 + 11/4

= 6/4 + 11/4

= 17/4

= 4.25

pls help write the expression as the logarithm of a single number! If correct, will select you as most brainly!

Answers

Answer:

log ([tex]\frac{x^{3} x y^{6} }{z^{2} }[/tex])

Step-by-step explanation:

Given expression:

    3log x + 6log y - 2log z

We are to express the given log as single expression;

To solve this problem, we must apply some simple logarithmic rules.

      3log x + 6log y - 2log z;

First, re-write to give;

              x log y  = log yˣ

          3log x + 6log y - 2log z = log x³ + log y⁶ - log z²

   

Then,

            log t + log k - log y = log ([tex]\frac{t x k}{y}[/tex])

 log x³ + log y⁶ - log z² = log ([tex]\frac{x^{3} x y^{6} }{z^{2} }[/tex])

15 more than three times a number is equal to 75
Also please give me the step by step

Answers

Answer:

x=20

Step-by-step explanation:

15+3x=753x+15=753x+15+15=75+153x=60[tex]\frac{3x}{3} =\frac{60}{3}[/tex] x=20

I hope this explanation was helpful.

Step-by-step explanation:

soln,

15+3x=75

or, 3×15=75

or,3×15+15=75+15

or,3x÷3=60÷3

or,x=20

ans= 20


Question 17 (5 points)
Solve 4x + 3y = 2 for y.
A) y= - 4x + 2
B) y = 4x-2
C) y= 4/3x - 2/3
D) y= -4/3x+2/3

Answers

Answer:

D

Step-by-step explanation:

y= -4/3x+2/3

Please help with 4 ill give out brainlyist . :(

Answers

Answer:

b

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

All of them say =27 but the total sum is not 27

Morgan is buying holiday gifts for her friends she can spend at most $95. Write an inequality to represent the amount of money m. Morgan can spend on each friends gift. What is the inequality

Answers

Answer:

$95÷f = m

Step-by-step explanation:

In sentence form

$95 divided by the number of friends(f) equals the amount of money(m) she can spend on each.

Write a word problem with 6 divided 3/4.

Answers

Answer:

If she divided 6 of a pound into equal portions of 3/4 of a pound, how many portions did she make?

Step-by-step explanation:

6 ÷ 3/4

Emily loves to read. She read 527 hours in 31 weeks. If she read an equal number of hours each week, how many hours did she read each week?

Answers

Answer: Emily read 17 hours a week.

Step-by-step explanation: Divide the number of hours by weeks. 527/31=17

Write an expression for "777 divided by ccc."

Answers

500892 divided by cccc
Hope this helps

Answer:

7/c

Step-by-step explanation:i said so and im right so put it in and try to prove me wronge :)

PLZ HELP WILL GIVE BRAINLIEST AND ITS NOT TOO HARD JUST IN A RUSH!!!! ;)

Answers

Answer:

5/6

Step-by-step explanation:

"Thus, 5/6 is the simplified fraction for 20/24 by using the GCD or HCF method. Thus, 5/6 is the simplified fraction for 20/24 by using the prime factorization method."

3. Gavin deposited $200 into his savings account that is compounded semi-annually at an interest rate of 9%. Gavin hoped he would have enough money in 8 years to buy a $400 gaming console for college. Is Gavin correct? Write and solve an equation, showing your work to justify your answer.

Answers

Answer:

His answer is correct. Because..

Step-by-step explanation:

9 ÷ 4 = 2.25

(Nine divided by four is Two point Twenty-Five.)

His answer was correct:

(200*0.09)=18

18*16=288

200+288=488

-8(3-s)=32 how will I solve for s becaus I am confused

Answers

Answer:s=7

Step-by-step explanation:

-8(3-s)= 32

Multiplication

-24+8s=32

Here you have to add 24 on both sides

8s= 56

Division by 8

s=7

Answer:

S=7

Step-by-step explanation:

Simplify: (2x^2)^3 (3x)^2

Answers

Answer:

(2 ^ 3 ⋅ 3 ^2 x ^ 8)

Step-by-step explanation:

11. The table shows the relationship between x and y values.
х
35
45
65
55
82
y
94
88
76
What is the slope of the linear function in decimal form?

Answers

Answer:

Slope = 0.6

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By applying this rule in the table attached,

Let the two points are (35, 94) and (45, 88) through which the graph of a linear function is passing.

Slope of the linear graph = [tex]\frac{94-88}{45-35}[/tex]

                                          = [tex]\frac{6}{10}[/tex]

                                          = 0.6

Therefore, slope of the linear function is 0.6


y = -9x + 5
y = –10.

Answers

Answer:

x=5/3 simplified x= 15/9

Step-by-step explanation:

In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.


Write and solve an equation to determine the measure of angle y.

Answers

Answer:

The answer is "[tex]\angle y = 90^{\circ}[/tex]"

Step-by-step explanation:

Please find the image file of the angle in the attachment.

Each line is 180° straight because the [tex]\angle x[/tex]-axis of the 40° and 50° angles is a straight line:  

[tex]= \angle x + 40^{\circ} + 50^{\circ} = 180^{\circ}[/tex]

Use this formula and isolate x.

[tex]\angle x + 40^{\circ} + 50^{\circ} = 180^{\circ}\\\\ \angle x + 90^{\circ} = 180^{\circ} \\\\ \angle x = 180^{\circ} - 90^{\circ} \\\\ \angle x = 90^{\circ}\\\\[/tex]

Since the two are vertical angles, they have the same measurement. These have the same measurement.  If [tex]\angle x = 90^{\circ}[/tex] and [tex]m \angle x = m \angle y[/tex], then  [tex]\angle y = 90^{\circ}[/tex]

Analyze the graph. Determine what, if any, association there is. Explain.
On a graph, points are grouped together to form a curve.

Answers

answer with explanation:

From the scatter plot we may observe that the data points follow a parabolic path.Hence, the association between the points is non-linear also, the data points follow a quadratic association.

Also, when we make a quadratic curve around these data points we see that all of the data points will be closely related to the curve.

Hence, there is a strong association between the data points.

Answer:

It follows a curve and it is a cluster.

Step-by-step explanation:

A. A number line from 0 to 20 in increments of 2. A point is at 4 with a bold line starts at 4 and is pointing to the right. B. A number line from 0 to 20 in increments of 2. An open circle is at 4 with a bold line starts at 4 and is pointing to the left. C. A number line from 0 to 20 in increments of 2. A point is at negative 4 with a bold line starts at negative 4 and is pointing to the right.
The graph that represents x < 4 is . Is it A or B or C
The graph that represents 4 ≤ x is . Is it A or B or C

Answers

Answer:

B & A Is The Answer

Step-by-step explanation:

Answer:

1. B   2. A

Step-by-step explanation:

12 divided by 5/8 release help me thank you!

Answers

12 ÷ 5/8

12 x 8/5

(12 • 8)/5

96/5

Done!

A line has a slope of 7 and a y-intercept of -2

Answers

Answer: it's -1

Step-by-step explanation: Hope this helps

Can I have brainliest?

The local bowling alley charges $8 for 2 games of bowling and $3 for each additional game. You have a $20 bill. Let `x\ `stand for the total number of games you can bowl. Write an inequality to represent the total number of games you can bowl. Write the ORIGINAL inequality. Do NOT simplify.

Answers

Answer:

8 + 3x ≤ 20

Step-by-step explanation:

Given

2 Games = $8

Additional Game = $3

Amount = $20

Required

Determine the inequality that represents the number of games

From the question, we understand that the minimum number of games that can be played is 2.

So, the expression can be:

Cost of 2 games + Cost of additional games ≤ Amount

This gives:

8 + 3 * x ≤ 20

Where x represents the additional number of games

By simplifying the expression, we have:

8 + 3x ≤ 20

what does descendant mean​

Answers

Answer:

a person, plant, or animal that is descended from a particular ancestor.

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