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Lilit [14]
2 years ago
6

A restaurant/bar conducted random sampling of bar purchases. In a sample of 17 restaurant patrons, they found that, when the bac

kground music tempo was slow, the mean purchase amount was $30.47 with a standard deviation of $15.10. In a sample of 14 patrons in the same restaurant, they found that, when the background music tempo was fast, the mean purchase amount was $21.62 with a standard deviation of $14.80. The bar would like to know if they can conclude that background music tempo leads to different average purchase amounts at the bar. What test should be used
Mathematics
1 answer:
Gwar [14]2 years ago
6 0

Answer:

Two sample test of means with unknown variance (standard deviation) but assumed equal

Step-by-step explanation:

For the scenario described above, we apply the two sample test means with unknown variance (standard deviation) but assumed equal test because, the there are two differebt or independent groups, each with its owm subjects or observations. The population variance or standard deviation aren't given. However, the variance are assumed to be equal., since the two groups of sample are chosen from the same population. Therefore, for the scenario described above, the most appropriate test would be a Two sample test of means with unknown variance (standard deviation) but assumed to be equal

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1. Dorothy bought a teddy bear and sold it at a 20% profit to Kim. Kim bought a suit costing $100 and dressed the teddy bear up
makkiz [27]

1. Dorothy paid $200 for the teddy bear

2. y is more than x by 33\frac{1}{3} %

Step-by-step explanation:

1. The given is:

  • Dorothy bought a teddy bear and sold it at a 20% profit to Kim
  • Kim bought a suit costing $100 and dressed the teddy bear up in the suit
  • Kim then sold the teddy bear in the suit to Karen for $442
  • Kim made a profit of 30%

We need to find how much Dorothy paid for the teddy bear

Assume that Dorothy bought a teddy bear for $x

∵ Dorothy bought a teddy bear for $x

∵ She sold it at a profit 20% to Kim

By using the ratio method

→  Buying price    :    Profit    :    Selling price

→  100%                 :   20%       :    120% ⇒ (100% + 20%)

→  x                         :                 :    ?

By using cross multiplication  

∴ 100% × Selling price = x × 120%

- Divide both sides by 100%

∴ Selling price = 1.2x

∴ Dorothy sold the teddy bear for $1.2x to Kim

∵ Kim bought a suit costing $100 and dressed the teddy bear

  up in the suit

∴ The cost of the teddy bear = 1.2x + 100

∵ Kim sold the teddy bear in the suit to Karen for $442

∵ Kim made a profit of 30%

By using the ratio method

→  Cost price    :    Profit    :    Selling price

→  100%             :   30%      :    130% ⇒ (100% + 30%)

→  1.2x + 100     :                 :    442

By using cross multiplication  

∴ (1.2x + 100) × 130% =  100% × 422

- Divide both sides by 130%

∴ 1.2x + 100 = 340

- Subtract 100 from both sides

∴ 1.2x = 240

- Divide both sides by 1.2

∴ x = 200

∴ Dorothy bought the teddy bear for $200

Dorothy paid $200 for the teddy bear

2. The given is:

  • x is less than y by 25%
  • Then y is more than x by how many percent

Assume that y is 100%

∵ y = 100%

∵ x is less than y by 25%

∴ x = 100% - 25%

∴ x = 75%

- The percentage of increasing of y = \frac{y-x}{x} × 100%

∵ The percentage of increasing of y = \frac{100-75}{75} × 100%

∴ The percentage of increasing of y = \frac{25}{75} × 100%

∴ The percentage of increasing of y = \frac{1}{3} × 100%

∴ The percentage of increasing of y = 33\frac{1}{3} %

y is more than x by 33\frac{1}{3} %

Learn more:

You can learn more about the ratio in brainly.com/question/4713715

#LearnwithBrainly

6 0
3 years ago
A piece of rope is 54 inches long. It is cut into pieces that are each 9 inches long.
bogdanovich [222]

Answer:

6 pieces of rope

Step-by-step explanation:

if the total is 54 and each are 9 you can make an equation

54= 9 x a

solve for a

to do this you divide 54 by 9

54/9=6

4 0
2 years ago
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Can someone please answer my question please answer it correctly please show work please I need it
lutik1710 [3]

Answer:

3. 60 ÷ 5 = 12

12 × 3 = 36

7 3/5 hours = 7 hours and 36 minutes

7:36 - 30 = 7:06

7:06 - 42 = 6:24

6:24 ÷ 6 = 1:04

A. 1 1/15 hours

4. fractions are equivalent regardless of the negative sign placement

A. 4/-9 = -4/9

5. 3/2 = 12

4/2 = 16

12 × 16 = 192

C. 192 square feet

7. -2.9a + 6.8 + 4.4a - 7.3 (add -2.9a + 4.4a)

1.5a + 6.8 - 7.3 (subtract 6.8 - 7.3)

1.5a - 0.5

D. 1.5a - 0.5

8. 552.50 × 0.88 = 486.2

486.2 ÷ 7 = 69.457

B. m > 69.45

19. -1/6 + 2/3(9 - 3/4) - 1/2

2/3 × 9/1 = 18/3

2/3 × 3/4 = 6/12

-1/6 + 18/3 - 6/12 - 1/2

-1/6 + 36/6 - 6/12 - 1/2

35/6 - 6/12 - 1/2

70/12 - 6/12 - 1/2

64/12 - 1/2

64/12 - 6/12

B. 58/12

4 0
3 years ago
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PLS HELP ME GUYS I NEED HELP WITH GEOMETRY
Alekssandra [29.7K]

Answer:

7, -21

Step-by-step explanation:

F could be located 14 to the left of -7 or 14 to the right of -7.  7 and -21 could be the possible locations of F.

6 0
3 years ago
The circumference of a circle is 9π m. What is the area of the circle? ASAP!
liubo4ka [24]

Answer:

20.25 m²

Step-by-step explanation:

the area (A) and circumference (C) of a circle are calculated using the formulae

C = 2πr and A = πr² ( where r is the radius )

calculate the radius using the formula for circumference

2πr = 9π ( divide both sides by 2π )

r = \frac{9\pi }{2\pi } = \frac{9}{2} = 4.5, hence

A = π × 4.5² = 20.25π m²


4 0
3 years ago
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