A decision maker is interested in estimating the mean of a population based on a random sample. She wants the confidence level to be ​% and the margin of error to be . She does not know what the population standard deviation​ is, so she has selected the pilot sample below. Based on this pilot​ sample, how many more items must be sampled so that the decision maker can make the desired confidence interval​ estimate? The decision maker should sample nothing more items to make the desired confidence interval estimate.

Answers

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is [tex]n = 146093[/tex]

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.04[/tex]

   The data is  

      8.70      4.79    10.95   15.19    14.06

      16.99     1.22    9.02    14.39     5.73

      7.28     3.22     2.66    6.13       6.93

Generally the sample mean is mathematically represented as

    [tex]\= x = \frac{\sum x_i}{n}[/tex]

=>  [tex]\= x = \frac{ 8.70 + 4.79 +\cdots + 6.93}{15}[/tex]

=>  [tex]\= x = 8.48[/tex]

Generally the standard deviation is mathematically represented as  

       [tex]\sigma = \sqrt{ \frac{ \sum (x_i - \= x)}{n} }[/tex]

=>     [tex]\sigma = \sqrt{ \frac{ (8.70 - 8.48 )^2 + ( 8.70 - 8.48)^2 + \cdots + (6.93 - 8.48)^2 }{15} }[/tex]

=>     [tex]\sigma = 5.14[/tex]

From the question we are told the confidence level is  98% , hence the level of significance is    

      [tex]\alpha = (100 - 98 ) \%[/tex]

=>   [tex]\alpha = 0.02[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n -1[/tex]

=>   [tex]df = 15 -1[/tex]  

=>   [tex]df = 14[/tex]  

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

   [tex]t_{\frac{\alpha }{2} ,  14 } = 2.9768 [/tex]

Generally the sample size is mathematically represented as

      [tex]n =[ \frac{t_{\frac{\alpha }{2} , 14 } * \sigma }{E} ]^2[/tex]

=>    [tex]n =[ \frac{ 2.9768 * 5.136 }{0.04} ]^2[/tex]

=>    [tex]n = 146093[/tex]

A Decision Maker Is Interested In Estimating The Mean Of A Population Based On A Random Sample. She Wants

Related Questions

A woman wishes to enclose a rectangular garden with​ fencing, using the side of her garage as one side of the rectangle. A neighbor gave her 2727 feet of​ fencing, and she wants the length of the garden along the garage to be 66 feet more than the width. What are the dimensions of the​ garden?

Answers

Answer:

Length = [tex]13\ \text{ft}[/tex]

Width = [tex]7\ \text{ft}[/tex]

Step-by-step explanation:

Let

Breadth of the garden = x

According to the question length of the garden = 6+x

Fencing given for the rectangular garden = 27 ft

Perimeter of the garden is given by

[tex]6+x+x+x=27\\\Rightarrow 6+3x=27\\\Rightarrow x=\dfrac{27-6}{3}\\\Rightarrow x=7\ \text{ft}[/tex]

Here the garden's length will be along the garage so fencing will not done there. So length will be added only once in the perimiter.

The length of the garden is [tex]6+7 = 13\ \text{ft}[/tex] and the width is [tex]7\ \text{ft}[/tex].

Can someone answer this for me fast !!

Answers

I think it’s probably C

Answer:

C

PLZ let me know if im wrong

Which 2 expressions are equivalent to 647 × 39

Answers

Answer:

25233

Step-by-step explanation:

What expressions, please complete your answer!

647 × 39 = 25233

Pls consider marking my answer as Brainliest! It would mean a lot!

Hello please help I will give brainliest!

Answers

Where’s the question?

Answer:

D

Step-by-step explanation:

Find the missing value using the slope and points m=2/3 and (8, 4) (x, 8)

(I’ll give brainlest answer too whoever answers quick and it’s right I’ll be checking)

Answers

Answer:

the missing value should be 14

Step-by-step explanation:

Jim earned $20 of interest on a $4000 deposit that was left in the bank for 9 months. What was the interest rate?

Answers

The answer for this problem is 200 dollars a month

Simplify -|-5+2|

-7
3
7
-3

Answers

3 is the answer
B option

justin has 3/4 quart of cranberry juice. If he divides the juice into glasses that hold 1/8 quart, how many glasses can Justin fill​

Answers

Answer:

6 glasses

Step-by-step explanation:

3/4 = 6/8

Multiple by 10 and 100 8*10

Answers

Answer:

800, 8000

Step-by-step explanation:

8*10=80*10=800, 8*10=80*100=8000

Im not exactly sure as to what the question you are asking or what lesson this is from but I hope this helped being the closest and only way I could answer this, terribly sorry if this wasn't the correct solution

10x100= 1,000 and 10x8*10= 8

01:41:3
What value of x is in the solution set of 8x - 6 > 12 + 2x?

Answers

Answer:

x > 3

Step-by-step explanation:

Answer:

x > 3

Step-by-step explanation:

Step 1:

8x - 6 > 12 + 2x         Equation

Step 2:

6x - 6 > 12        Subtract 2x on both sides

Step 3:

6x > 18          Add 6 on both sides

Step 4:

x > 18 ÷ 6      Divide 6 on both sides

Answer:

x > 3

Hope This Helps :)

|4t+n| if t = -2 and n = 5 for algebra 1

Answers

Answer:

It would be 13.

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. Answer the following questions. What are the values of the mean and standard deviation after converting all pulse rates of women to z scores using ​? nothing nothing The original pulse rates are measure with units of​ "beats per​ minute". What are the units of the corresponding z​ scores? Choose the correct choice below. A. The z scores are measured with units of​ "minutes per​ beat." B. The z scores are measured with units of​ "beats per​ minute." C. The z scores are measured with units of​ "beats." D. The z scores are numbers without units of measurement.

Answers

Answer:

(1) 0 and 1

(2) Correct option D

Step-by-step explanation:

It is provided that pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute.

Let X denote the pulse rates of women.

(1)

Let us consider a random variable, X that follows N (µ, σ²), then [tex]Z=\frac{X-\mu}{\sigma}[/tex], is a standard normal variate with mean, E (Z) = 0 and variance V (Z) = 1.

That is, Z follows N (0, 1).

In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.

Thus, z-scores are a type of standardized scores.

The values of the mean and standard deviation after converting all pulse rates of women to z scores are 0 and 1 respectively.

(2)

The z scores are numbers without units of measurement.

SIMPLE GRAPHING EQUATION (CORRECT ANSWER = BRAINLIEST, THANKS, 5 STAR, AND A COMMENT + THE POINTS

Find the value of “b” so that the slope of the line passing through the points A(5, –8) and B(–1, b) is –2.

Answers

Answer:

b=4

Step-by-step explanation:

For this question we need to know the formula of slope that is m which is

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

where [tex](x_1,y_1) , (x_2,y_2)[/tex] are the points [tex](5,-8),(-1,b)[/tex] respectively

and hence we have the value of m= -2 which is the slope we simply plug in all the values.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\-2=\frac{b-(-8)}{-1-5} \\\\-2=\frac{b+8}{-6} \\\\12=b+8\\12-8=b\\4=b[/tex]

So the value of b=4

Answer:

b is 4

Step-by-step explanation:

Several steps are required to find this answer. You need to use the information you are given as well as the formula y=mx+b. You are given the slope and one of the coordinates. Plug the information into the formula to find b, which is the constant.

The point given is (5,-8)

The slope given is -2

Plug the x and y into y=mx+b

-8=-2(5)+b

-8=-10+b

-8+10=b

b=2

Now that you have the full equation, y=-2x+2 , you can plug in the x-coordinate of the other coordinate to find the missing y-value.

y=-2(-1)+2

y=2+2

y=4

Therefore, the b you are solving for is 4.

Match the numbers with the correct label.

Answers

Answer:

I'm assuming A is -3/7 B is -0.4 and c is -1/5

15.4x7=
Show your work

Answers

Answer:

107.8

Step-by-step explanation:

What is the value of x? *
(7x - 15)
(x+28)
(4x - 3)

Answers

105 - 7x + x + 28 + 4x - 3 = 180
130 - 180 = 2x
x = -25

Bam scored 12 points per game last year. This year he scores 19 points per game. By what percent did his point production change?

Answers

Answer:

[tex]\%Change = 58.33\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 12[/tex]

[tex]Final = 19[/tex]

Required

Determine the percentage change

Percentage change is calculated as thus:

[tex]\%Change = \frac{|FInal - Initial|}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{|19 - 12|}{12} * 100\%[/tex]

[tex]\%Change = \frac{|7|}{12} * 100\%[/tex]

[tex]\%Change = \frac{7}{12} * 100\%[/tex]

[tex]\%Change = \frac{7* 100\%}{12}[/tex]

[tex]\%Change = \frac{700\%}{12}[/tex]

[tex]\%Change = 58.33\%[/tex]

Scores of high school seniors taking the English Regents examination in New York State are normally distributed with a mean of 70 and a standard deviation of 10.

Required:
a. Find the probability that a randomly selected high school senior will have a score between 70 and 75.
b. Find the probability that a randomly selected high school senior will have a score higher than 85.

Answers

Answer:

0.19146

0.066807

Step-by-step explanation:

Given that :

Mean (m) = 70

Standard deviation (s) = 10

a. Find the probability that a randomly selected high school senior will have a score between 70 and 75.

X ≤ 70 :

Using : z = (x - m) / s

Z = (70 - 70) / 10

Z = 0 / 10

Z = 0

P( Z < 70) = 0.500

X ≤ 75

z = (x - m) / s

Z = (75 - 70) / 10

Z = 5 / 10

Z = 0. 5

P(z < 0.5) = 0.69146

0.69146 - 0.5000

= 0.19146

b. Find the probability that a randomly selected high school senior will have a score higher than 85.

X ≥ 85

z = (x - m) / s

Z = (85 - 70) / 10

Z = 15 / 10

Z = 1.5

P(z > 1.5) = 0.066807 ( Z probability calculator)

−7x+y
3
+7x
3
+6x−3y
3
−2x
3
+3x

Answers

Answer:

-7 is less than -2 is less than 3 is equal to 3 is equal to 3 is equal to 3 is equal to 3 is less than 6 is less than 7

Step-by-step explanation:

Owen lives 145.25 km from Houston, Texas. Sharon lives 209.5 km from Houston. What is the difference between these two distances?

Answers

Answer:

64.25

Step-by-step explanation:

Subtract 209.5-145.25=64.25

Answer:

64.25

Step-by-step explanation:

145.25 - 209.5 = -64.25, then you find the absolute value

What is the radius and diameter of the circle!?

Answers

Answer:

diameter will be 18

and radiuse will be half of 18

Step-by-step explanation:

Describe what the ! means in n!

Answers

Answer:

Usually n stands for a (positive) integer. The exclamation point used after an integer usually means “factorial.”

Step-by-step explanation:

Clarence is 42 inches tall. His brother Charlie is 37 inches tall. How much taller is Clarence?

Answers

Answer:

Clarence is 5 inches taller.

42-37=5

Answer:

Clarence is 5 inches taller.

Step-by-step explanation:

You are using subtraction by doing 42-37

42-37 cross out the 4 to be a 3, make the 2 a 12 and subtract 12-7=5

3-3 is 0 so it would be 5.

A study of the time spent shopping at a supermarket is for a basket with 20 specific items showed an approximately a uniform distribution between 20 minutes and 40 minutes. What is the probability that the shopping time will be:

Answers

Answer:

The probability that the shopping time will be between 25 and 30 minutes is 0.25.

Step-by-step explanation:

The question is:

What is the probability that the shopping time will be between 25 and 30 minutes?

Solution:

Let X represent the time spent shopping at a supermarket for a basket with 20 specific items.

It is provided that X follows Uniform (20, 40).

Compute the probability that the shopping time will be between 25 and 30 minutes as follows:

[tex]P(25<X<30)=\int\limits^{30}_{25} {\frac{1}{40-20}} \, dx[/tex]

                         [tex]=\int\limits^{30}_{25} {\frac{1}{20}} \, dx \\\\=\frac{1}{20}\times [x]^{30}_{25}\\\\=\frac{30-25}{20}\\\\=0.25[/tex]

Thus, the probability that the shopping time will be between 25 and 30 minutes is 0.25.

Add. Write the answer in standard form.
(9 + 5i) + (11 + 21) =

Answers

Answer:

45

Step-by-step explanation:

just add them but why is there a I

Answer:

41+5i

Step-by-step explanation:

Combine like terms; 9+11+21.

How do I do this? I am so confused... ​

Answers

1. 12

2. 28

3. 44

This is because when you multiply 4. It also increases the number when you multiply 7.

Answer:

Multiply the first numbers by three and then keep multiplying :)

Step-by-step explanation:

a 141 inch is cut into two pieces one piece is two times the length of the other . find the length of the shorter piece

Answers

Answer:

The second length of the piece because 141 times 2 which is two times the amount of the second piece is 282.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 47.

What is the sum?
8+(-12)
O-20
O 4
4
20
Please help I need this right now in 45 min please help please

Answers

The answer to this is -4

Which pair of numbers has a GCF of 8?
8 and 28
16 and 56
32 and 16
40 and 55

Answers

ANSWER is b 16 and 56

Mrs. Peterson makes ceramic figurines. She recently made 25 figurines. Of those figurines, 16 are animals. What percent of the figurines are NOT animals?

Answers

9 that are not animals
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