MATHEMATICS COLLEGE

A group of friends has gotten very competitive with their board game nights. They have found that overall, they each have won an average of 18 games, with a population standard deviation of 6 games. If a sample of only 2 friends is selected at random from the group, select the expected mean and the standard deviation of the sampling distribution from the options below. Remember to round to the nearest whole number.

Answers

Answer 1

Answer:

Answer: $\mu_x=18\text{ hours}$

$\sigma_x=4\text{ hours}$

Step-by-step explanation:

We know that mean and standard deviation of sampling distribution is given by :-

$\mu_x=\mu$

$\sigma_x=(\sigma)/(√(n))$

, where $\mu$ = population mean

$\sigma$ =Population standard deviation.

n= sample size .

In the given situation, we have

$\mu=18\text{ hours}$

$\sigma=6\text{ hours}$

n= 2

Then, the expected mean and the standard deviation of the sampling distribution will be :_

$\mu_x=\mu=18\text{ hours}$

$\sigma_x=(\sigma)/(√(n))=(6)/(√(2))=4.24264068712\approx4$ [Rounded to the nearest whole number]

Hence, the the expected mean and the standard deviation of the sampling distribution :

$\mu_x=18\text{ hours}$

$\sigma_x=4\text{ hours}$

Related Questions

What is the sampling method used in the following scenario? The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.
The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $500?
I will give brainliest to the right answer:)
0.4, 0.04, 0.44, 0.444, 0.404, 0.044 in order smallest first
In the problem 14 = 2 = 7, which number is the divisor?

If 6 bakers want to share a 45-pound bag of flour equally by weight, how many pounds of flour will each person get? Write an equation to solve and show your work.

Answers

Answer:

7.5 lbs

Step-by-step explanation:

We want to separate 45 pounds of flour by 6 people, which means we have to divide 45 by 6 to get 7 and 1/2 pounds or 7.5 lbs for each baker.

Answer:er./llllllll;tfph[n7j8ujhgedrsth5rdymu67igh8bn6[nmhylmnhhno9ooilhmny9yhju98y98079huj97

2634tu5yj

Step-by-step explanation:sfrnb kds 3i4huygr4vfb 4rf413qgweb31Y

F(x)=3x-8--------
6x

Find and simplify

f(3)-f(1)
------------
3-1

I have no idea what this question is, any ideas?

Answers

What this is asking is for you to plug values into the following function: $f(x)=(3x-8)/(6x)$

Since the question is asking you to find $f(3)-f(1)$ , this is how you work it out:
You take the function;
$f(x)=(3x-8)/(6x)$
And plug the numbers indicated in for x;
$f(x)=(3x-8)/(6x)\nf(3)=(3(3)-8)/(6(3))\nf(3)=(9-8)/(18)\nf(3)=(1)/(18)\n\nf(1)=(3(1)-8)/(6(1))\nf(1)=(3-8)/(6)\nf(1)=(-5)/(6)\n\nNow\ what\ you\ do\ is\ you\ subract\ f(3)\ and\ f(1).\nf(3)-f(1)\nf(3)-f(1)=(1)/(18)-(-5)/(6)\nf(3)-f(1)=(1)/(18)-(-15)/(18)\nf(3)-f(1)=(1+15)/(18)\nf(3)-f(1)=(16)/(18)=(8)/(9)$
So the answer to f(3) - f(1) = $(8)/(9)$

A carpenter cuts a board 3 3/8 feet off the end of a board that is 6 1/2 feet long. How long is the remaining piece of board?

Answers

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The remainingpiece of the board when $3(3)/(8)$ feet is cut off from the end of the board of $6(1)/(2)$ feet is

$3(1)/(8)$ feet

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

1/2 of 4 is 2.

1/4 of 20 is 5.

We have,

Length of the board = $6(1)/(2)$ feet.

The lengthcutoff from the board = $3(3)/(8)$ feet.

The remaininglength of the board:

= $6(1)/(2)$ - $3(3)/(8)$

= 13/2 - 27/8

Find the Lcm of 2 and 8.

The Lcm of 2 and 8 is 8.

= (13x4 - 27) / 8

= (52 - 27) / 8

= 25/8

Write it in a mixedfraction.

= $3(1)/(8)$ feet

Thus,

The remainingpiece of the board when $3(3)/(8)$ feet is cut off from the end of the board of $6(1)/(2)$ feet is $3(1)/(8)$ feet.

Learn more about fractions here:

brainly.com/question/24370499

#SPJ2

Answer:

$6 * (1)/(2) - 3 * (3)/(8) = 1 * (7)/(8)$

A local doctor’s office logged the number of patients seen in one day by the doctor for ten days. Find the means, median, range, and midrange of the patients seem in 10 days. 27 31 27 35 35 25 28 35 33 24

Answers

Answer:

Mean = 30, Median = 29.5, Range = 9 and Mid-range = 29.5.

Step-by-step explanation:

We are given that a local doctor’s office logged the number of patients seen in one day by the doctor for ten days.

Arranging the given data in ascending order we get;

24, 25, 27, 27, 28, 31, 33, 35, 35, 35.

(a) Mean is calculated by using the following formula;

Mean, $\bar X$ = $\frac{\text{Sum of all values}}{\text{Total number of observations}}$

= $(27+ 31+ 27+ 35+ 35+ 25+ 28+ 35+ 33+ 24)/(10)$

= $(300)/(10)$ = 30

So, the mean of the given data is 30.

(b) For calculating the median, we have to first have to observe that the number of observations (n) in the data is even or odd.

If n is odd, then the formula for calculating median is given by;

Median = $((n+1)/(2))^(th) \text{ obs.}$

If n is even, then the formula for calculating median is given by;

Median = $\frac{((n)/(2))^(th) \text{ obs.}+ ((n)/(2)+1)^(th) \text{ obs.} }{2}$

Here, the number of observations is even, i.e. n = 10.

So, Median = $\frac{((n)/(2))^(th) \text{ obs.}+ ((n)/(2)+1)^(th) \text{ obs.} }{2}$

= $\frac{((10)/(2))^(th) \text{ obs.}+ ((10)/(2)+1)^(th) \text{ obs.} }{2}$

= $\frac{(5)^(th) \text{ obs.}+ (6)^(th) \text{ obs.} }{2}$

= $(28+31)/(2)$

= $(59)/(2)$ = 29.5

So, the median of the data is 29.5.

(c) The range of the data is given by = Highest value - Lowest value

= 35 - 24 = 9

So, the range of the data is 9.

(d) Mid-range of the data is given by the following formula;

Mid-range = $\frac{\text{Highest value}+\text{Lowest value}}{2}$

= $(35+24)/(2)$ = 29.5

Final answer:

The mean of the patients seen in 10 days is 30, the median is 29.5, the range is 11, and the midrange is 29.5.

Explanation:

To find the mean, median, range, and midrange of the numbers, we first need to understand what these terms mean. The mean is the average, the median is the middle number in a sorted set, the range is the difference between the highest and lowest values, and the midrange is the average of the highest and lowest values.

First, let's sort the numbers: 24 25 27 27 28 31 33 35 35 35.

To calculate the mean, add all the numbers and divide by the count (10): (24+25+27+27+28+31+33+35+35+35)/10 = 30.

The median is the average of the two middle numbers (which are 28 and 31 in this case): (28 + 31) / 2 = 29.5.

The range is the highest number minus the lowest number: 35 - 24 = 11.

The midrange is the average of the highest and lowest values: (35 + 24) / 2 = 29.5.

Learn more about Mean, Median, Range

brainly.com/question/31538429

#SPJ3

What are the answers to 7 and 8?

Answers

Answer:

Step-by-step explanation: 7 b and d8

Each student in a class of 25 students wrote down a random digit. what is the predicted number of students who will win a digit that is greater than 7?

Answers

Comment
I'm going to assume that 0 is below 1 and not above 9. Furthermore that there are 10 digits altogether.

Argument
I may not understand the problem, but I think it means that how many students will randomly choose an 8 or 9.

Since both can come up (randomly) 1/10 of the time, it would seem to me that the answer should be

1/10 * 25 + 1/10 * 25 = 5

so 5/25 students will come up with an 8 or 9.
so P(8 or 9) = 0.2 <<<< answer

Note
Any two digits should give you the same result.

Answer:

Step-by-step explanation:

Other Questions

Last year, a baseball team paid $20 per bat and $12 per glove, spending a total of $552. They bought 34 pieces of equipment. What are a system of equations and an augmented matrix that can represent this situation

Lisa takes a taxi uptown and the fair is $12.78 she wants to give the driver 2% tip how much would the tip be

Interpret the regression coefficients. Fill in the blanks below. The [a. coefficient of determination b. correlation coefficient intercept slope coefficient] is the estimated amount of a purchase if time spent viewing the online catalog were zero. The a. intercept b. coefficient of determination c. slope coefficient d. correlation coefficient] is the estimate of amount that a purchase changes for one extra minute spent viewing the online catalog. b. Compute the coefficient of determination and interpret its meaning. Fill in the blanks below. The [a. proportion b. amount] of the total variation in purchases that can be explained by variation in the minutes spent viewing the? on-line catalog is equal to the coefficient of? determination, which is ____. (Round to three decimal places as needed) State the conclusion. Fill in the blanks below. [a. Do not Reject b. Reject] the null hypothesis. There is [a. sufficient b. insufficient] evidence to support the claim that the overall model is significant. The p-value is ____. (Round to three decimal places as needed.) State the conclusion. Fill in the blanks below. a.Do not Reject b. Reject c. the null hypothesis. There is a. sufficient b. insufficient evidence to support the claim that the overall model is significant. Determine the p-value. The p-value is ____. (Round to three decimal places as needed.) State the conclusion. Fill in the blanks below. [a. Reject b. Do not Reject] the null hypothesis. There is [a. insufficient b. sufficient] evidence to support the claim that the regression slope coefficient is not equal to zero.

Drawing a 3 cards that are all 9 from a deck of cards