Listed below are the commissions earned ($000) last year by a sample of 15 sales representatives at Furniture Patch Inc.

$4.3 $6.1 $7.4 $10.7 $13.1 $13.6 $14.7 $16.5 $17.1 $17.4 $18.7 $22.3 $36.7 $43.2 $79.4

Required:
a. Determine the mean, median, and the standard deviation.
b. Determine the coefficient of skewness using Pearson.

Answer:

A. The null hypothesis is [tex]H_0: \mu = 130[/tex].

The alternative hypothesis is [tex]H_a: \mu > 130[/tex]

B. The value of the test statistic is [tex]t = 1[/tex]

C. The p-value is of 0.1636.

D. The critical value is [tex]t_c = 1.711[/tex]

Step-by-step explanation:

Question a:

Customers at Costco spend an average of $130 per trip (The Wall Street Journal, October 6, 2010). One of Costco's rivals would like to determine whether its customers spend more per trip.

At the null hypothesis, we test if the mean is the same as Costco's, that is:

[tex]H_0: \mu = 130[/tex]

At the alternative hypothesis, we test if the mean is more than 130, that is:

[tex]H_a: \mu > 130[/tex]

B. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

130 is tested at the null hypothesis:

This means that [tex]\mu = 130[/tex]

A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.

This means that [tex]n = 25, X = 135.25, s = 10.50[/tex]

Then

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{135.25 - 130}{\frac{10.50}{\sqrt{25}}}[/tex]

[tex]t = 1[/tex]

The value of the test statistic is [tex]t = 1[/tex]

C. Calculate the p-value.

Test if the mean is more than a value, so a right-tailed test.

Sample of 25, so 25 - 1 = 24 degrees of freedom.

Test statistic of t = 1.

Using a t-distribution calculator, the p-value is of 0.1636.

D. Calculate the critical value

24 df, using the standard 0.05 significance level.

Using a critical value calculator, the critical value is [tex]t_c = 1.711[/tex]

c) representing data with a histogram is an example of data organization

The range of the given function is - 2

Answer:

-12

Step-by-step explanation:

cause from the rule

we should always solve from bracket so -3×8= -24

and -24/4= -6

and -6-6

= -12

9514 1404 393

Answer:

  $13.67, Valdosta, Tallahassee

Step-by-step explanation:

The total sales tax rate in Valdosta is 4% +3% = 7%.

The total sales tax rate in Tallahassee is 6% +1.5% = 7.5%, which is 0.5% higher than in Valdosta. That percentage makes a difference in the final price of ...

  0.5% × $2734 = 0.005×$2734 = $13.67

Celeste will save $13.67 in sales tax if she makes her purchase in Valdosta rather than Tallahassee .

Answer:

17.

Step-by-step explanation:

The differences form an arithmetic sequence 3, 5, 7, 9,,11.

The missing number  is 10 + 7 = 17.

This is a quadratic sequence.

The nth term = n^2 + 1.

Thus the 4th term = 4^2 + 1 = 17.

Answer:

D

Step-by-step explanation:

Answer:0

Step-by-step explanation:

because 3x+1 is 0

The 3x+1 Conjecture asserts that, starting from any positive integer n, repeated iteration of this function eventually produces the value 1.

You always get a unit rate from dividing. You always have two ways to do it, and get two unit rates, but one of them is more helpful.

2000 meters/4 minutes = 500 meters per minute

4 minutes/2000 meters = 0.002 minute per meter

(By the way ... Franklin is "jogging" a 3:13.12 mile. The world record is 3:43.13 .)

Answers:

===========================================

Explanations:

Part (a)

There is only one disc labeled "3" out of 10 total. So we end up with the probability 1/10.

---------------------

Part (b)

The list of numbers less than 4 are {1,2,3} which are 3 items out of 10 discs. We end up with 3/10.

---------------------

Part (c)

A square number, aka a perfect square, smaller than 10 is the list {1,4,9}

Since 1 = 1^2, 4 = 2^2 and 9 = 3^2

Like part (b), we end up with the same result of 3/10.

---------------------

Part (d)

The list of primes smaller than 10 is {2, 3, 5, 7}. Notice that 1 is not prime.

So we end up with 4/10 = 2/5.

Answer:

y = 1/3x -1

Step-by-step explanation:

The slope is  y2 - y1 / x2 - x1

y2 is 1

y1 is -1

x2 is 6

x1 is 0

So it is 1 - (-1) / 6 - 0, or 2/6, or 1/3

The slope is 1/3.

The y-intercept is the place where x is 0. It shows the y-intercept here as

(0, -1),  The y-intercept is  -1

Slope form is y = mx + b. m is the slope, 1/3, and b is the y-intercept, -1

So the equation is: y = 1/3x -1

Answer:

option D

Step-by-step explanation:

Take the two through which the lines passes.

Let it be ( -5 , 0) and ( 0 , -3)

Step 1 : Find slope, m

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

                  [tex]= \frac{-3-0}{0--5} = \frac{-3}{5}[/tex]

Step 2 : Find the equation

      [tex](y - y_ 1) = m( x - x_1)\\\\( y - 0) = \frac{-3}{5} (x --5) \\\\y = -\frac{3}{5}( x + 5 ) \\\\y = -\frac{3}{5}x - 3[/tex]

Answer:

no se guey..... pero gudluc

Answer:

Yes the samples can be drawn from a population with the same mean and standard deviation 10 hours

Step-by-step explanation:

We are given;

Sample mean for male employees; x1¯ = 63

Sample mean for female employees; x2¯ = 66

Sample size = 50

Standard deviation; σ = 10

First,let's define the hypotheses of the question;

Null hypothesis; H0: μ1 = μ2

Alternative hypothesis; Ha: μ1 ≠ μ2

Now, let's find the test statistic from the formula;

z = (x1¯ - x2¯)/(σ√(2/n))

Thus;

z = (63 - 66)/(10√(2/50))

z = -3/2 = - 1.5

Now, we are not given the significance value but usually when it is not given, we can adopt α = 0.05.

Thus, from online p-value from z-score calculator using; z = -1.5; α = 0.05; two tailed test; we have;

p-value = 0.13364

The p-value is greater than the significance value and thus we will fial to reject the null hypothesis and conclude that these samples can be drawn from a population with the same mean and standard deviation

Answer: hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.

Step-by-step explanation:

Your question isn't complete as you didn't provide the options. These are given above.

Based on the options, the calculation that would help them determine the most likely range of customers arriving for that meal is a hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.

Answer: b. 180

Step-by-step explanation:

The sum of the angles of a triangle is 180°.

Step-by-step explanation: The sum of all the interior angles is always180°

Answer:

What is a Combination? A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

#happylearning

Answer:

see image

Step-by-step explanation:

one by one, move each point

Answer:

A

Step-by-step explanation:

Well I am not fully sure but I would say A

Answer:

(x+4)(x+6)

Step-by-step explanation:

(x^2+4x)+(6x+24)

x(x+4) 6(x+4)

(x+4) (x+6)

Answer:

35 degrees

Step-by-step explanation:

180-55-55=70

180-70=110

180-110=70

70/2=35

Property: All straight lines from the centre of a circle are the same length, hence the triangles are isoceles.

======================================================

Explanation:

Inscribed angle ABC = 55 subtends the minor arc AC which is 110 degrees (use the inscribed angle theorem).

The inscribed angle BDC subtends the minor arc CB, which we'll call x for now.

The two minor arcs (AC and CB) combine to form the arc ACB. Note how this is a semicircle since AB is a diameter. For any semicircle, the arc measure is 180 degrees.

So,

(arc AC) + (arc CB) = arc ACB

110 + x = 180

x = 180-110

x = 70

This cuts in half to 35 which is the inscribed angle BDC, again we're using the inscribed angle theorem here.

Answer:

ccccccc is bebebebebebebeebebbeebebeb

Answer:

B'(4, 0)

Step-by-step explanation:

B (1, 5)

it translated right 3 units => x'=x+3

down 5 units => y'= y-5

Answer:

5(-3)2-2(-3)+1. =5(9)+6+1. =​45+7 ... 7x – 6= 0). (3x + 2)(x – 3)=0. =3x + 2 = 0; x – 3 = 0. _486x 5 – 7x. 1 1 8 1 6​. uh this is hard..

Step-by-step explanation:

Answer:

39 feet

Step-by-step explanation:

p = 15 + 8 + 10 + 6

p = 39

39 feet

[tex]y > 2x \: y \: > \: 3 \: \\ solve \: for \: x \\ x \: € \: ( \frac{3}{2y} \: \frac{1}{2} )\: y > \: 3 \\ solve \: for \: y \\ y \: > \: \frac{3}{2x} \: x \: > \: 0 \: and \: x \: < \: \frac{1}{2} [/tex]

The correct answer is A. Figure A.

A mathematical statement is a declarative sentence that expresses a truth or falsehood using mathematical symbols. It is usually made up of two terms that are related by an operator, such as an equals sign. Mathematical statements can be used to prove results, solve equations, and make predictions about the behavior of systems.

This diagram represents the statement "If it is a tree, then it has leaves" because the top box is labeled "tree" and the bottom box is labeled "has leaves". The arrow running between them indicates that if the condition of the top box is true, then the bottom box is also true. This is an example of a conditional statement.

To know more about mathematical statement click-
https://brainly.com/question/27839142
#SPJ1

Answer:

Step-by-step explanation:

yeah