A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.09 reproductions per hour. Assuming that the mean is 6.6 reproductions and the variance is known to be 4.84, what is the minimum sample size required for the estimate? Round your answer up to the next integer.

Answers

Answer 1

Answer:

The minimum sample size is [tex]n = 2295 [/tex]    

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.09[/tex]

    The sample mean is  [tex]\= x = 6.6[/tex]

     The variance is  [tex]\sigma^2 = 4.84[/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma = \sqrt{\sigma^2}[/tex]

=> [tex]\sigma = \sqrt{4.84 }[/tex]

=> [tex]\sigma = 2.2[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>   [tex]n = [\frac{1.96  *  2.2 }{0.09} ] ^2[/tex]

=>   [tex]n = 2295 [/tex]    


Related Questions

Find an equation for the line below

Answers

since the line is a straight line, the equation will be a linear equation and hence it will be y=mx+c

first, find the gradient (m) :
(y2-y1)/(x2-x1) = [1-(1)]/(-2-6)
= 2/-8
= -¼

sub. in y, x and m values to find c
1 = ¼(-2) + c
1 = -½ + c
c = 1 ½

hence the equation is y = -¼x + 1 ½

Mike can stitch 7 shirts in 42 hours how long will it take to stitch 1 shirt

Answers

Answer:

42/7 is 6 so it would take Mike 6 hours to stich 1 shirt please give brainliest

Step-by-step explanation:

is a rate that makes a comparison to 1 unit

Answers

Answer:

Unit Rate is a that makes a comparison to one unit.

Step-by-step explanation:

unit rate is that makes to comparison to one unit

Find in slope standard form 3х – 5y = 10

Answers

Answer:-5y=-3x+10

Divide all by -5

Y= 3/5x+10/-5

Negative divide by negative is positive--3/-5= 3/5

Slope is 3/5 y intercept is -2

Step-by-step explanation:

The answer would be

-5y=-3x+10

can you help me with this please ​

Answers

Answflasvkdiuihrytiy\ih\j

Which symbol makes this sentence true: 4/9 O 7/15

Answers

Answer:

4/9>7/15

Step-by-step explanation:

PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.

Multiply.
−5/6 ⋅ 27



−67 1/2

−32 1/4

−22 1/2

−18 1/2

Answers

Answer:

-22.5

Step-by-step explanation:

-5 divided by 6 is 0.8333 (repeated/round to 0.8) 0.8333 (repeated) times 27 is -22.5 (-22 1/2)

Hope this helps you! :D



Create a scenario that could be represented by the graph above.

Please help !!

Answers

After 2 hours of reading, you read 10 chapters (or pages) of a book. You could also say after 2 days, it snowed 10 inches.

1.Given the rotation of triangle ABC shown below, determine the counter-clockwise angle of rotation that occurred about point D. Show all relevant lines and measurements you made to determine your answer.
A) 180°
B) 90°
C) 130°
D) 50°

Answers

Answer:

D. 50º

Step-by-step explanation:

According to the image below attached, blue lines represents line segments [tex]DB[/tex] and [tex]DB'[/tex], the red line creates a right angle regarding [tex]DB[/tex] (90º), where green line creates a flat angle with the same respect (180º). The angle between [tex]DB[/tex] and [tex]DB'[/tex] is less than 90º and 180º, meaning an acute angle. Therefore, the right answer is D.

Write an expression for this sentence:
Find 3 more than the product of 9 and 4

Answers

(9 x 4)+3
40 is the answer
your answer is: (9+4)+3

Percent of change from $. 79 to 3.72

Answers

Answer:

470.89%

3.72 divided by 0.79 = 4.70886076

470.89%

Step-by-step explanation:

If someone could help me out here it would be greatly appreciated.

Answers

Answer:

k=45

Step-by-step explanation:

the k on the right can be mirrored from the left side of the triangle, the other side of the triangle says that its 45 degrees so that means the answer is as well, but if you want to make sure that the answer is correct then take the 2k degrees then replace the k with 45 and multiple that which gives you 90. add the other 2 45s together which gives you another 90 and then add the two 90s which gives you 180.

A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is its surface area? Explain also and thanks if anyone answers my question!

Answers

Answer:

The surface area is 48cm^2

Step-by-step explanation:

Given

Dimension: 2cm by 2cm by 5cm

Shape: Rectangular Prism

Required

Determine its Surface Area (A)

This is calculated as thus:

[tex]A = 2(lw + lh + hw)[/tex]

Where l, w and h are the dimensions of the given shape:

We can say:

[tex]l = length = 2cm[/tex]

[tex]w=width = 2cm[/tex]

[tex]h=height=5cm[/tex]

So:

[tex]A = 2(2 * 2 + 2 * 5 + 5 * 2)[/tex]

[tex]A = 2(4 + 10 + 10)[/tex]

[tex]A = 2(24)[/tex]

[tex]A = 2 * 24[/tex]

[tex]A = 48[/tex]

Hence, the surface area is 48cm^2

stion No. 8
Which of the following statements is false?
a) Two vertically opposite angles can be acute
b) Two vertically opposite angles can be obtuse
c) Two vertically opposite angles can be right angles
d) Two vertically opposite angles may be unequal
0
(4) d​

Answers

D is incorrect because two vertically opposite angles HAVE to be equal there for D is false.

How many numbers can be squared to get a value of 0?

Answers

Maybe zero? Not sure

Answer:

1

Step-by-step explanation:

0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0

Use the graph of f(x) = x2
to write an equation for the function represented by each graph.

Answers

Answer:

cant see the graph nor the values of the function

An electronics store sells DVD players and cordless telephone. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of a least $255.00 from its sales of DVD players and cordless phones. Write an inequality to model this situation.

Find an example to show how this situation could happen and one example showing how it could NOT happen. Make sure to justify your answer.

Answers

Inequality

75d + 30c ≥ 255

Examples

(1) If someone bought five DVD players and ten cordless telephones, the equation ((75)(5)+(30)(10)≥255) would be true.

(2) If the electronic store had a parcticularly bad day and they sold two DVD players and one cordless telephone, the equation ((75)(2)+(30)(1)≥255) would be false.

URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE IN LESS THAN 12 MINS

Answers

Answer:

28.26m^2 (aka. 28.26 meters squared)

Step-by-step explanation:

The area of a circle is A=pi*r^2 where r is the radius of the circle.

Since r=3, then A=pi*3^2=9pi=28.26

Therefore, the area of the merry-go-round is 28.26 square meters

Please help please I am begging you

Answers

Answer:

B.

Step-by-step explanation:

9 (x + 1) = 9*x + 9*1 = 9x + 9

. The elevator in Yehire’s apartment building has a sign that says the maximum weight is 2100 pounds. If the average weight of one person is 150 pounds, how many people can safely ride the elevator?

Answers

Answer:

Number of peolpe= 14

Step-by-step explanation:

Giving the following information:

Total weight= 2,100 pounds

Average weight= 150 pounds

To calculate the number of people that can ride the elevator at the same time, we need to use the following formula:

Number of people= total weight / average weight

Number of peolpe= 2,100/150

Number of peolpe= 14

Kelly currently has a checking account balance of $172.14. She makes a deposit of $27.45, and then spends $17.89 on dinner. How much money does she have now? *

Answers

Answer:

126.8 Hope this helps

1. Which of the following is rounded off to 2 significant figures correctly? *

a. 23.92 = 25

b. 4.801 = 4.8

c. 347 = 35

d. 482 = 50

Answers

Answer:

b

Step-by-step explanation:

significant figures means counting the digits that either come before a trail of zeros (45.0000 has 7 significant figures) or come after a trail of leading zeros (00.31 has two significant figures, because the zeros before the decimal point have no other digit in front of them and do not count) 1005.0 would have 6 significant figures

Whats the answer for d.)

Correct answer please
I’ll be giving brainliest


Thank you for helping!!

Answers

Not too sure, but I think it might be 30.31

Evaluate the expression you wrote to
find the amount Mr. Parker will pay if
he drives 80 miles.

Answers

Answer:

$78 or $78.00

2logx+3logy=0 find y in term of x

Answers

Answer:

y = x^(-2/3)

Step-by-step explanation:

Given

2log x + 3log y = 0

Finding y in terms of x

3log y = -2log xlog y = -2/3log xlog y = log x^(-2/3)y = x^(-2/3)

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2log_x+3log_y=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3log_y=-2log_x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\cancel {log}}_y={\dfrac {2}{3}}{\cancel{log}}_x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac{2}{3}}x [/tex]

Round 62.85 to the nearest tenth

Answers

Answer:

62.9

Step-by-step explanation:

Follow the rounding rules.

Remember the tenths place is one place after the decimal point.

The answer is 62.9. Hope this helps!!

PlEASE HELP ME PLEASE​

Answers

Answer:

THE 3RD ONE

Step-by-step explanation:

I THINK IM NOT REAALY SURE????

Mr. Jones got four seats on the school's trip to Grand
Canyon for his students. In how many different ways Mr.
Jones can select a group of four from his class of 36?

Answers

Answer:

D. 58,905

Step-by-step explanation:

Number of seats available for Mr. Jones had for the trip = 4

Number of students in his class = 36

Number of ways he can select a group of 4 out of 36 students from his class is calculated as follows:

[tex] C \binom{36}{4} = \frac{36!}{(36 - 4)! * 4!)} [/tex]

[tex] = \frac{36!}{(32! * 4!)} = 58,905 [/tex]

Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent

Answers

Answer:

The expression –3 + 2x is equivalent to 2x – 3. I know it is equivalent because for every value of x that is substituted in, the two expressions simplify to the same value. I took the expression and used the commutative property to not change the value.

Answer:

The expression –3 + 2x is equivalent to 2x – 3. I know it is equivalent because for every value of x that is substituted in, the two expressions simplify to the same value. I took the expression and used the commutative property to not change the value.

convert to vertex form
f(x)=-x^2+6x-10

Answers

Answer:

(3,1)

Step-by-step explanation:

Answer:

the answer is y = (x+3)^2-19

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