A salesman who is on the road visiting clients thinks that, on average, he drives the same distance each day of the week. He keeps track of his mileage for several weeks and discovers that he averages 122 miles on Mon- days, 203 miles on Tuesdays, 176 miles on Wednesdays, 181 miles on Thursdays, and 108 miles on Fridays. He wonders if this evidence contradicts his belief in a uni- form distribution of miles across the days of the week. Explain why it is not appropriate to test his hypothesis using the chi-square goodness-of-fit test.

Answers

Answer 1

Answer:

The conditions are not met.

Step-by-step explanation:

The conditions for the chi square test for goodness of fit are

1) the sample is a random sample

2) the variable under study is categorical

3) all expected value of the number of sample observations are greater or equal to 5.

A)The observations must be independent

B) for 2 categories the expected values must be at least 5

C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5

The observations given may not be independent  i.e  have equal chances of occurrences or are maybe dependent on each other in the sense that there maybe a limit for his traveling mileage or the a limit for petrol ( fuel ) usage . So if he is required to drive 500 miles in a week each day mileage depends on the other day mileage .

Also we are given the information that keeps track of his mileage for several weeks, but we are not sure if several   refers to more than 5 .

As both conditions are not clearly satisfied it is not appropriate to test his hypothesis using the chi-square goodness-of-fit test.

The sample must also be a random sample.

Here he has taken the mean of all the days.


Related Questions

Malik is solving the equation x2 – 10x – 11 = 0 using the complete the square method. Here is Malik's work: Line 1 p^2 -10p-11=0 Line 2 p^2 -10p+25=11+25 Line 3 (p-5)^2 =36 Line 4 p-5=36 or p-5=-36 Line 5 p=41 p=-31 Line 6 the solution is p=41 or p=-31 Malik checks his answer and realizes he has made a mistake. On which line did Malik make his mistake? Explain Malik's mistake using the complete the square method in 1-3 complete sentences.

Answers

Completing the square method rearranges the equation to have the

square of linear equation and constant on both sides of the equation.

Responses:

The mistake is made in line 4The mistake is in not taking the square root of both sides

Which is the correct completing the square method?

The given equation is; x² - 10·x - 11 = 0

Line 1: p² - 10·p - 11 = 0

Which gives;

p² - 10·p = 11

Adding 25 to both sides gives;

Line 2: p² - 10·p + 25 = 11 + 25

11 + 25 = 36

Factorizing p² - 10·p + 25 = (p - 5)·(p - 5)  = (p - 5)²

Line 3: (p - 5)² = 36

Which gives;

p - 5 = ±√36

Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)

Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1

Line 6: p = 11 or p = -1

The line Malik made a mistake is on line 4

The mistake made is that in line 4, the root of both sides of the equation, rather than only the left side of the equation is to be taken.

The constant on the left and side is then subtracted from the positive

and negative value of the square root of the right hand side to give two

results.

Learn more about completing the square here:

https://brainly.com/question/3939104

Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?


A. doubling the number and then decreasing the result by 25%

B. increasing the number by 50%

C. multiplying the number by 1.25

D. multiplying the number by 2.5

Answers

Answer: multiplying the number by 2.5

Your answer

Step-by-step explanation:

Jay took a number n and increased it by 25%. This will be:

= n + (25% × n)

= n + (0.25 × n)

= n + 0.25n

= 1.25n

Then, he doubled the resulting product. This will now be:

= 2 × 1.25n

= 2.50n

Therefore, the equivalent will be option D "multiplying the number by 2.5".

Scott buys
1260 apples
280 bananas
Write down the ratio of the number of apples that Scott buys to the number of
bananas that he buys.

Give your ratio in its simplest form.

Answers

the ratio is 1-4,5 or 2-9 if you want whole numbers where the slower number are the bananas and the higher the apples

Answer:

1,260:280

or

1,260 to 280

or

1,260/280 Simplified → 4 1/2

Step-by-step explanation:

Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.

Cindy feeds her dog 1/3 pound of food each day after 6 day,how many pounds of food has she given to her dog?

Answers

Answer: 2 pounds

Step-by-step explanation: if each day the dog gets 1/3 pounds, then after two days the dog would get 2/3 pounds. 3 days would be 1 pound, so after 6 days that would be 2 pounds.

Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand.

Answers

Answer:

First one i think is C and the second one is A it was easy

Step-by-step explanation:

Continent
Number of cars produced
Africa
636 519
Asia/Oceania
45 800 878
Europe
19 726 405
North America
21 136 313
South America
4 288 654
How many more cars were produced in North and South America
than in Europe and Africa?

Answers

Answer:

5062043

Step-by-step explanation:

add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer

A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W

Answers

Answer:

Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]

Step-by-step explanation:

Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].

To find: amount of money each student paid in terms of [tex]W[/tex]

Solution:

Cost of each present [tex]=\$W[/tex]

Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]

Cost of a card [tex]=\$200[/tex]

Therefore,

Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card

[tex]=\$3W+\$200[/tex]

A sphere has a surface area of 196 pi. What is the radius of the sphere?


r = 7


r = 14


r = 65.33


r = 12.12

Answers

R=12.12 is the answer

suppose 70% of the 500 orders at a fast food restaurant include a drink what is the percentage as a part to whole ratio as well as a part to part ratio simplify each ratio​

Answers

Answer:

140

Step-by-step explanation:

A square photo has a side length of 0.17 foot. The photo is enlarged by doubling the dimensions. Then it is enlarged again by tripling the new dimensions.

Answers

Calculate the side length of the enlarged picture

Answer:

Hence, final picture will have a side length of 1.02 foot

Step-by-step explanation:

Side length of square photo, s = 0.17

Original dimension = (0.17 by 0.17)

Enlarged photo = double the original dimension:

2 * (0.17 * 0.17)

(0.34 * 0.34)

Second enlargement = Tripling the new dimension:

3 * (0.34 * 0.34)

(1.02 * 1.02)

Hence, final enlarged dimension = (1.02 * 1.02)

Hence, final picture will have a side length of 1.02 foot

Geraniums are $2.95 each. How much will 5 plants cost? (include 7% sales tax.)

Answers

2.95x5=14.75 7% of 14.75=1.0325 14.75+1.0325=15.7825 or just $15.78

the area of a square is 144 square centimeters. What is the length of one side of the square? pls help its on khan

Answers

12cm

have an amazing day <3

How do you know if something is congruent? (scale Factors)

Answers

example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.

Answer:

Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

Step-by-step explanation:

Someone help me please-

Answers

Answer:

Rectangle 11.59 sqft

Rectangle 36 sqft

Polygon 47.59 sqft

Step-by-step explanation:

plz help and no spam plz. A large university accepts 60% of the students who apply. Of the students the
university accepts, 35% actually enroll. If 10,000 students apply, how many actually enroll?

Answers

2,600 students actually enroll.

Answer:

2100

Step-by-step explanation:

60%=0.6

35%=0.35

0.6*0.35=0.21

0.21*10000=2100

A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​

Answers

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width =  12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6

can someone help me asap​

Answers

Answer:

a) hundreds

b) tens

c) hundreds

d) hundreds

Answer:

This is easy!!

Step-by-step explanation:

1. hundreds

2. tens

3. hundreds

4. hundreds

Hope this Helps!!

Help needed for some geometry

Answers

In order to create a line parallel to line “I”, rotate line “I” 180° about points “F”. This can be done clockwise or counterclockwise.

Answer:

hope this help you. look it once.

Solve the inequality 4x -5 greater than or equal to 7

Answers

Answer: x greater than or equal
to 3.
Explanation: Add 5 on both sides and then after divide 4 on both sides. The sign stays the same.

Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14

Answers

Answer:

56.52 cm^2

Step-by-step explanation:

curved surface area = 2πrh

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

10 / 2 = 5

2 x 3.14 x5 x 18 = 56.52 cm^2

given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only

Answers

Answer:

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

Step-by-step explanation:

Based on 2x - 9y - 12 = 0

-9y = 12 - 2x

9y = -12 + 2x

y = [tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]

Therefore...

5x - 4y + 7 = 0

5x - 4([tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]) + 7 = 0

5x + [tex]5\frac{1}{3}[/tex]  - [tex]\frac{8}{9} x[/tex] + 7 = 0

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

what is the answer for this

Answers

Answer:

bvcnfghnh

Step-by-step explanation:

gfhtfv

please help me solve for the area

Answers

Answer:

-9

Step-by-step explanation:

why not

Answer:

5x4x9=180  then 4 divided by 2 is 2 then 2x180 you get the answer

Step-by-step explanation:

Please help. I will give brainliest.

Answers

Answer:

e

Step-by-step explanation:

answer this question for 30 points and brainilest

Answers

Answer:

Volume of left side cylinder will be less than the volume of right side cylinder.

Step-by-step explanation:

Volume of a cylinder is given by the formula,

Volume = πr²h

Here, r = radius of the circular base

h = Height of the cylinder

Volume of the left hand cylinder = π(b)²a

Volume of the right hand cylinder = π(a)²b

It's given in the question that a > b

Let the value of a = 3 and b = 2

Then the volume of left hand cylinder = π(2)²(3)

                                                               = 12π

Similarly, volume of right hand cylinder = π(3)²(2)

                                                                 = 18π

Therefore, volume of left side cylinder will be less than the volume of right side cylinder.  

I need help asap !!!!

Answers

Answer:

C

Step-by-step explanation:

Pythagorean theorem = a² + b² = c²

Answer:

C.

Step-by-step explanation:

Pythagrean Theorem is on C

Marco picked answer A for the following problem. Why is that not the correct answer? (NO LINKS)

Answers

Answer:

This is not correct because the organic rice line in Graph A is increasing more than the conventional rice line. This is why the x- and y-labels are important: organic rice in Graph A; you are able to get more pounds for the same amount of weight. If organic rice costs more, you should get less pounds of rice. Graph B shows this relationship because the conventional rice line is higher than the orangic rice line, which indicates that you can get more conventional rice than organic rice at the same price, which is what the question says.

6 times the dierence of d and 5

Answers

Answer:

6(d - 5)

Step-by-step explanation:

The difference of d and 5 represents (d - 5)

Multiply that by 6 to get 6(d - 5)

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

see explanation

Step-by-step explanation:

j - 4 ≤ 0 ( add 4 to both sides )

j ≤ 4

The graph has a closed circle at 4 on the number line with the arrow pointing left

If a1=10 and an An-1 + 4 then find the value of
05.

Answers

Answer:

26

Step-by-step explanation:

Just put n = 5 and substitute

Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26

Other Questions
Verify the identity: 2 sec^2 x 2 sec^2 x sin^2 x sin^2 x cos^2 x = 1 Which of the following trends best explains how nations detailed on the map were able to quickly contain the outbreak of Ebola?They provided effective medical response where the disease originated.They invested in improved living conditions in areas affected by the disease.They used modern technology to improve prevention programs and screen travelers.They used modern technology to revitalize agricultural communities affected by the disease. What's the equation for a circle of (2,-5) and a radius of 2 Beloved Baby Company manufactures and sells children's strollers. Each stroller requires eight screws. For September, Beloved Baby Company will begin September with 360 screws in its beginning inventory. Beloved Baby Company has budgeted stroller sales of 560 strollers, while 590 strollers are scheduled to be produced. How many screws should Beloved Baby Company purchase in September Use the following information for VPI Co. to prepare a statement of cash flows for the year ended December 31 using the indirect method. Cash balance at prior year-end $40,000 Gain on sale of machinery $2,000 Increase in inventory 5,000 Cash received from sale of machinery 9,500 Depreciation expense 4,000 Increase in accounts payable 1,500 Cash received from issuing stock 8,000 Net income 23,000 Cash paid for dividends 1,000 Decrease in accounts receivable 3,000 Find the area of the trapezoidA. 168 in^2B. 94.5 ft^2 C. 72 ft^2D. 84 ft^2 PLEASE HELP WILL MARK BRANILIEST A stadium can seat 16,00 people at full capacity a.If there are 13,920 people in the stadium, what percentage of the capacity is filled?Explain or show your reasoning 6. Name used to describe ex-slaves was what?A. ScalawagsB. SharecroppersC. FreedmenD. Jim Crow Underline the main verb once. Italicize the auxiliary verb(s) twice.1. Elmer has rarely exhibited a bad temper.2. The county will try the case next month.3. The man had received no driver's license.4. I could not complete the task in that length of time.5. Those girls are known as the Baxter twins.6. The cat was playing with the drapery cord.7. The popularity of that product has risen for months.8. The Empire State Building was used as a set in many famous movies.9. The Twin Towers is now dominating the New York skyline.10. We will begin the long drive early in the morning. Pls help this is timing me!!!!! Constructive play involves creating or manipulating objects.O TrueO False What happens during cytokinesis? PLEASE HELP ILL GIVE BRAINLIESTYou walked 30 miles in 6hours. What was your average speed? a. 5mph b.80 mph c. 24mph d. 18 mph 33. A tripeptide hasA. 3 amino acids and 1 peptide bondB. 3 amino acids and 2 peptide bond6.3 amino acids and 3 peptide bondD. 3 amino acids and 4 peptide bond I need the answer Trihydrogen monophosphide is a covalent molecule that can also act as an acid. What is the correct acid name for trihydrogen monophosphide ? helpppppppppppppppppppppppppppppp ill give brainliest backseat or shotgun? 35. A garden bed is 5m in length, 3m in width and 10cm in height.Find the volume of soil in m3 that will be needed to fill up the garden bed. Angle Sum Theorem3387X = [? ]please help! I will mark brainlest!! Below are the ingredients of photosynthesis. Organize them to show what is used and what is producedduring this process.carbon dioxidewateroxygenglucosesunlight_____plus_____in the presence of_____result in_____plus_____