the sample mean salary of 500 nba players is 5 million dollars. we also know that the population standard deviation is 0.7 million dollars. we want to construct a confidence interval for population mean with 95% confidence. what will be the length of our confidence interval (in terms of million dollars)?

Answers

Answer 1

The length of our confidence interval (in terms of million dollars) is (4.9412,5.0588)

A 95% confidence  interval on the z-table is 1.96.

Now find the standard error using the formula: standard deviation /  square root sample size:

0.7 / √500 = 0.03

Multiply to the confidence interval: 1.96 x 0.03 = 0.0588

Now add and subtract the average salary of the nba players:

5.0000 - 0.0588 = 4.9412(million dollar)

5.0000 + 0.0588 = 5.0588(million dollar)

The answer is 4.9412 ≤ u ≤ 5.0588(million dollar)

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Related Questions

i don’t get scientific notation. can someone help me on this?

i dont get scientific notation. can someone help me on this?

Answers

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard. Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits:
minimum = 7, maximum = 81, 7 classes
(a) The class width is 11
(b) Use the minimum as the first lower class limit, and then find the remaining class limits. The lower
class limits are 7,18,29,40,51,62,7
(HINT: Enter a comma separated list like "1, 2, 3..." and so on.)
(c) The upper class limits are 17,28,39,50,61,72
(HINT: Enter a comma separated list like "1, 2, 3..." and so on.)

Answers

For a dataset with a minimum value of 7, maximum value of 81, and divided into 7 classes, the class width is 11, the lower class limits are 7, 18, 29, 40, 51, 62, 73, and the upper class limits are 17, 28, 39, 50, 61, 72, 73.

(a) The class width is calculated by dividing the range (maximum - minimum) by the number of classes:

Class width = (maximum - minimum) / number of classes

= (81 - 7) / 7

= 74 / 7

≈ 10.57

Rounding to the nearest whole number, the class width is 11.

(b) To find the lower class limits, we start with the minimum value and then add the class width repeatedly to obtain the next lower class limit. Here's the calculation:

Lower class limits: 7, 18, 29, 40, 51, 62, 73

(c) The upper class limits can be found by subtracting 1 from each lower class limit, except for the last class. The last class's upper limit is the same as the last class's lower limit. Here's the calculation:

Upper class limits: 17, 28, 39, 50, 61, 72, 73

Therefore, For a dataset with a minimum value of 7, maximum value of 81, and divided into 7 classes, the class width is 11, the lower class limits are 7, 18, 29, 40, 51, 62, 73, and the upper class limits are 17, 28, 39, 50, 61, 72, 73.

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order these from least to greatest
9, 3, π

Answers

Answer:

3 pi 9

Step-by-step explanation:

the margin of error is: a. the largest possible sampling error for a specified level of confidence; b. the critical value times the standard error of the sampling distribution; c. the difference between the point estimate and the parameter. a only b only c only a and b b and c a and c all of the above none of the above

Answers

The correct is b i.e; the critical value times the standard error of the sampling distribution

Given options are :

a. The biggest sampling error that can be made while maintaining a certain level of confidence.

b. the critical value multiplied by the sampling distribution's standard error

c. the discrepancy between the parameter and the point estimate.

Margin of error

= C * SE

Where C is critical value of on

of is the Standard error

The multiple of Critical Value and Standard error is the margin of error

Correct Option is b i. e the critical value times the Standard error of Sampling distribution

Therefore, The margin of error is the product of Critical Value and Standard Error.

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Please helppppp!!!!!!

Please helppppp!!!!!!

Answers

Answer:

d

Step-by-step explanation:

it is on the same plane as points a, b, and c

What is the solution to the problem below?

What is the solution to the problem below?

Answers

Answer:

(1,1)/ one solution

Step-by-step explanation:

The solution is where the lines intersect.

PLEASE HURRY I HAVE 5 MINUTES LEFT

A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity?

a) 0.18p

b) 0.82p

c) 1.18p

d) 18.00p

Answers

Answer:

18.00p maybe...............

given the following information, the test statistic is n = 49, xbar= 50, s = 7, h0: m => 52 ha: m < 52 the test statistic for the above information is

Answers

In this scenario, we are given the following information: sample size (n) is 49, sample mean (P) is 50, sample standard deviation (s) is 7, null hypothesis (H₀) states that the population mean (μ) is greater than or equal to 52, and the alternative hypothesis (Hₐ) states that the population mean is less than 52.

The test statistic for this situation is the t-statistic, which measures the difference between the sample mean and the hypothesized population mean, taking into account the sample size and the sample standard deviation. It is used to assess the evidence against the null hypothesis. In this case, since the alternative hypothesis states that the population mean is less than 52, we have a left-tailed test. To calculate the t-statistic, we use the formula:

t = (P - μ) / (s / √n)

Plugging in the given values:

t = (50 - 52) / (7 / √49) = -2 / (7 / 7) = -2

Therefore, the test statistic for the provided information is -2. This value represents the standardized difference between the sample mean and the hypothesized population mean, accounting for the sample size and standard deviation. It indicates that the sample mean is 2 standard deviations below the hypothesized population mean of 52.

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Math- please helpppppp

Math- please helpppppp

Answers

Answer:

They are both correct.

Step-by-step explanation:

6c=72

We can divide by 6 on both sides and get

c=72/6

Answer:

both lori and jayden are correct

Step-by-step explanation:

first solve 72/6, you should get 12. Therefore c should be 12 since to get the number of cards in a pack you divide the total number of cards by the number of packs.
plug in 12 for the equation 6c=72

6x12 = 72 (6 being the number of packs and twelve the number of cards per pack).

hi can some1 help quickly :) tysm

hi can some1 help quickly :) tysm

Answers

Answer:

1:2 is the simplest form

Step-by-step explanation:

the ratio is 4:2 but since That's not the simplest form, you must find the GCF. the GCF is 2, divide both numbers by 2 and you get 2:1. you pull the ratio from segment AB and segment DF since both of them have measurements already stated.

hope this helps! :)

how do the results compare to your hypothesis? explain why your hypothesis was/was not supported by the results?

Answers

Based on the results from your experiment, rank the antibiotics from the most effective to the least in controlling epidermidis. These aid by halting bacterial growth and infection spread.

A Gram-positive bacterium called S. epidermidis is a component of the flora of humans. Anaerobic bacteria are what it is. It promotes the growth of pathogens that are present in medical equipment. These may enter the bloodstream. Based on the results from your experiment, rank the antibiotics from the most effective to the least in controlling s. epidermidis.

Molds produce a class of antibiotics known as penicillium. Actinomycetes produce the antibody known as novobiocin, which has antibacterial characteristics. Gentamicin is one of the antibodies that can treat infections and aid in halting bacterial development.

Hence the answer is Based on the results from your experiment, rank the antibiotics from the most effective to the least in controlling epidermidis. These aid by halting bacterial growth and infection spread.

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help me please- find the equation of line a

help me please- find the equation of line a

Answers

Check the picture below.

let's notice something, the equation of line B is in slope-intercept form, thus

\(y = 2x + \underset{\stackrel{\uparrow }{b}}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so using that grid scale, we can just get two points from the line A to get its equation, let's use those in the picture below

\((\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-6)}}}\implies \cfrac{0+6}{6+6}\implies \cfrac{1}{2}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y+6=\cfrac{1}{2}(x+6)\implies y+6=\cfrac{1}{2}x+3\implies y=\cfrac{1}{2}x-3\)

help me please- find the equation of line a

A fire truck ladder has its base 3 meters about the ground. The maximum length of the ladder is 120 meters. if the ladder's greatest angle of elevation possible is 60°, what is the highest above the ground that it can reach? Round to the nearest tenth.



height= _____ meters

Answers

Answer:

94

Step-by-step explanation:

i might be wrong

Dan gets 25 miles per gallon in his car. John's miles (x) per gallon (y) can be represented by the equation y=20x. Who makes better gas mileage?

Answers

Answer:

Dan has better gas mileage

Step-by-step explanation:

The mileage of Dan is 25 miles per gallon

In case of John, mileage is represents by equation

\(y=20x\)

where y is the gallons and x is miles

Here

\(\frac{x}{y}\) represents miles per gallon

Hence, mileage in case of john i.e miles per gallon

\(\frac{x}{y} = \frac{1}{20}\)

Dan has better gas mileage

The value of investments in the stock market change daily. Suppose you buy a stock for $1,000. It increases in value by 4.5% and then falls 4.5%. What is the new value

Answers

After the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975.

Let's calculate the new value of the stock after the increase and decrease.

Starting with $1,000, a 4.5% increase in value would be calculated as (4.5/100) * 1000 = $45. This brings the value up to $1,045.

Next, a 4.5% decrease in value would be calculated as (4.5/100) * 1045 = $47.025. This amount is subtracted from the increased value of $1,045.

Subtracting $47.025 from $1,045 gives us $997.975, which is slightly less than $1,000.

Therefore, after the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975. It's important to note that this calculation assumes a simple percentage increase and decrease without considering other factors that can affect stock market fluctuations.

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Can someone post an image of the "Cryptic Quiz 148" (OBJECTIVE 5-d: To solve an equation for y in terms of x.) "Why did the little girl paint spots on the staircase?" "What do you call a thirty-six-inch two-by-four?"

Answers

Answer:

A lumber yard is the answer to that riddle.

Step-by-step explanation:

With Department A sales of $200,000, Department B sales of $600,000, and overhead expense to be allocated of $25,000, the distribution of overhead to Department A based on sales is:

Answers

Answer:

6,250$ is the overhead for department a

The distribution of overhead to Department A based on sales is $6250.

What is an overhead expense?

A recurring cost of running a firm is referred to as overhead or overhead charge. While operating expenses like material and labor, overheads could easily be linked to or recognized with any one revenue unit.

They are operating costs for a business that cannot be connected to the creation or production of a good or service. They are really the costs a business must pay to remain open, independent of how successful it is.

Department A has sales of $200,000

Department B has sales of $600,000

Therefore the ratio between the two departments will be:

200000: 600000

= 1 : 3

The overhead expense for both the department combined are $25,000

The share of department A will  be at

= 25000 * (1/4)

= $6250  

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PLEASE HELP
WILL GIVE BRAINLIEST


PLEASE HELPWILL GIVE BRAINLIEST

Answers

2units

step by step by step by step

17) The Masterfoods company says yellow candies make up 20% of their plain M&M's, red another 20 %, and orange, blue and green each make up 10%. The rest are brown. If you pick an M&M at random, what is the probability that a) it is brown? b) it is yellow or green? c) it is not green? d) it is striped?

Answers

In a bag of plain M&M's, the Masterfoods company states that yellow and red candies each make up 20% of the total, while orange, blue, and green each make up 10%. T

(a) The probability that a randomly picked M&M is brown is determined by the fraction of brown candies in the bag. Since all other colors account for 60% (20% + 20% + 10% + 10% + 10%), the probability of picking a brown M&M is 1 - 0.60 = 0.40, or 40%.

(b) To calculate the probability of picking a yellow or green M&M, we sum the individual probabilities of each color. The probability of picking a yellow M&M is 20%, and the probability of picking a green M&M is 10%. Adding these probabilities, we get 20% + 10% = 30%, or 30% chance of picking a yellow or green M&M.

(c) The probability of not picking a green M&M is the complement of the probability of picking a green M&M. Since the probability of picking a green M&M is 10%, the probability of not picking a green M&M is 1 - 0.10 = 0.90, or 90%.

(d) The information provided does not specify the proportion of striped M&M's in the bag. Without this information, we cannot determine the probability of picking a striped M&M.

In summary, the probability of picking a brown M&M is 40%, the probability of picking a yellow or green M&M is 30%, the probability of not picking a green M&M is 90%, and the probability of picking a striped M&M cannot be determined with the given information.

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A city park has a large circular garden with a path around it. The diameter of the garden is 60ft. Jason works for the city park department. He needs to spread plant food all over the garden. What is the area of the park he will cover with plant food?

Answers

Answer:

The  area is  \(A =  2827.8 \  ft^2 \) of the park

Step-by-step explanation:

From the question  we are told that

  The  diameter of the garden is  d =  60 ft

Generally the radius of the circular garden with a path around it is mathematically represented as

    \(r =  \frac{60}{2}\)

=>   \(r = 30 \  ft \)

Generally the area of the park he will cover with plant food is mathematically represented as

        \(A =  \pi r^2\)

=>      \(A =  3.142 *  (30 )^2\)

=>      \(A =  2827.8 \  ft^2 \)

Sophia drove 63 miles. Sophia's car used 2 gallons of gas. How many miles per gallon did Sophia car get?

Answers

Answer:

31.5 mi/gal

Step-by-step explanation:

\(63\)÷\(2\)\(=31.5\)

So, Sophia got 31.5 miles per gallon

Answer: 31.5 I think.

Step-by-step explanation:

Give other person brainliest

in a particular class of 35 students, 10 are men. What fraction of the students in the class are men?

Answers

Answer:

2/7

Step-by-step explanation:

put the total number of boys over the total number of stuedents

10/35 then simplify by dividing top and bottom by 5      2/7

Answer:

2/7

Step-by-step explanation:

10/35

reduce fraction

10÷5=2

35÷5=7

I need help plz!!!! Anyone?

I need help plz!!!! Anyone?

Answers

Answer:

30

Step-by-step explanation:

2x30=60

3x30=90

60+90+30=150

PLEASE HELP ME ASAP PLEASE.

PLEASE HELP ME ASAP PLEASE.

Answers

Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

See the picture below! ••no links or fake answers••I genuinely need help!

See the picture below! no links or fake answersI genuinely need help!

Answers

As given by the question

There are given that the function

\(f(x)=3x+7\)

Now,

for find, the value of f(-2), put x=-2 into the given function

So,

\(\begin{gathered} f(x)=3x+7 \\ f(-2)=3(-2)+7 \\ f(-2)=-6+7 \\ f(-2)=1 \end{gathered}\)

Hence, the value of f(-2) is 1.

2.13(m + 2) = 8.52
what is the answer

Answers

Answer:

2

Step-by-step explanation:

2.13 (m + 2) = 8.52

m + 2 = 8.52/2.13

m + 2 = 4

m = 4 - 2

m = 2

When quantity supplied and quantity demanded are the same, a market is said to be in __________.

Answers

The correct term that completes the sentence "When quantity supplied and quantity demanded are the same, a market is said to be in equilibrium".

Equilibrium is a condition in which the forces acting on a market are balanced, resulting in a stable price for a commodity. At the equilibrium price, there is neither excess demand nor excess supply, therefore the market is balanced.

The economic term equilibrium describes a situation in which the market price and the quantity demanded and supplied of a good or service are equal.

Equilibrium is a key concept in economics because it aids in determining the optimal price and quantity of a product that can be produced and sold in the market.

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FIND THE LENGTH OF SEGMENT AB HELP

FIND THE LENGTH OF SEGMENT AB HELP

Answers

Answer: 4

Explanation:

1.8^2 + x^2 = 3^2

3.24 + x^2 = 9

-3.24 -3.24

x^2 = 2.4

(take square root of each)

x = 2.4 (BD)

Next,

3.2^2 + 2.4^2 = c^2

10.24 + 5.76 = c^2

16 = c^2

(take square root of each)

c = 4

AB = 4




______ is a set of tools which helps in organizing, presenting information, and extracting meaning fromraw data.

Answers

Answer:

Data analytics. Data analytics is a set of tools which helps in organizing, presenting information, and extracting meaning from raw data.

Pls mark me as brainliest :)

What is the difference? Complete the equaion -1 2/5 - (-4/5)

Answers

The difference of - 1 2/5 - (-4/5) is -3/5.

we have to find the difference of

- 1 2/5 - (-4/5)

First Simplifying the fractions as

-7/5 - (-4/5).

Now, performing the operations

-7/5 + 4/5

= -3/5

Thus, the difference is -3/5.

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Using analogy estimating and comparing the complexity of the work package on this project to the similar works packages I have completed, I would say that 1617 weeks is closer to reality, and lets hope I do not get removed from the project to put out a fire somewhere else in the company. That would be terrible. It is impossible for me to get it done in 12 weeks. And adding more people to this work package will not shorten the schedule. It may even make it worse.Barbara then asked Peter one more question:Peter, you are a grade 9 and considered as the subject matter expert. If a grade 7 had been assigned, as the estimating group had said, how long would it have taken the grade 7 to do the job?"Probably about 20 weeks or so," responded Peter.