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Kitty [74]
2 years ago
15

A factory produces bags of rubber bands. A bag of rubber bands has five different sizes: extra large (XL), large (L), medium (M)

, small (S), and extra small (XS). A quality control specialist collects a random sample of 450 rubber bands from the bagging machine and calculates a chi-square goodness-of-fit test to see if the frequencies for each size in the sample match the hypothesized distribution. The quality control specialist will test his sample against the following null hypothesis.H0:pXL=0.10,pL=0.20,pM=0.40,pS=0.20,pXS=0.10 How many medium rubber bands are expected in the random sample of 450 rubber bands?
Mathematics
2 answers:
Natali [406]2 years ago
8 0

Answer:

180

Just took the test

Scrat [10]2 years ago
6 0

Answer:

The expected frequency is 90

Step-by-step explanation:

If the given probabilities are taken as observed

pXL=0.10,      450*0.1= 45

pL=0.20,      450*0.2= 90

pM=0.40,     450*0.4= 180

pS=0.20,     450*0.2= 90

pXS=0.10     450*0.1= 45

We can assign the expected frequencies to be 450/5= 90 each

The chi square goodness fit test can be calculated as

Observed    Expected   (o-e)       (o-e)²          (o-e)² /e

45                   90         -45            2025              22.5

90                  90           0                0                    0

180                 90           90             8100               90

90                 90            0              0                         0

<u> 45                  90         -45             2025                   22.5     </u>

<u>∑                                                                                135        </u>

<u />

χ²= 135

The χ² value at 0.05 is 9.49

The result is significant.

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mia hired a moving company, it charged 500$ for service mia give them a 16% tip.How much did she tip the movers.
Novosadov [1.4K]

Answer:

$80

Step-by-step explanation:

First you take 500 and multiply by 16% or .16.

You should get 80.

A tip for the future is when you have a percentage just move the decimal place to the left twice.

ie. 50%=.50, 125%=1.25, 2%=.02

I hope this helps :)

6 0
2 years ago
Read 2 more answers
The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
stepan [7]

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

6 0
2 years ago
Rewrite in simplest terms: 3(q-2r)+6r-8(-6r-2q)3(q−2r)+6r−8(−6r−2q)
Airida [17]

Mom and dad go down

The drain

4 0
3 years ago
Solve using substitution<br> y=3x-5<br> 2x+5y=-42
Paul [167]

Answer:

Solution point is (-1,-9)

Step-by-step explanation:

Put the value of y in the first equation into the second equation.

  • 2x + 5(3x - 5) = - 42            Remove the brackets on the left
  • 2x + 15x - 25 = - 42            Combine like terms on the left
  • 17x - 25 = - 42                     Add 25 to both sides
  • 17x - 25 + 25 = - 42 + 25    Do the addition
  • 17x = - 17                              Divide by 17
  • 17x/17 = -17/17                      Do the division
  • x = - 1    

=======

Solve for y

  • y = 3x - 6
  • x = -1
  • y = 3(-1) - 6
  • y = -3 - 6
  • y = - 9
6 0
3 years ago
HELP PLEASSSE FOR 15 POINTS
blagie [28]

50x+40=y for doors galore

40x+60=y for g&h

I can't graph here sorry but hopefully you know how that works

9. 40x+60=50x+40

-40

40x+20=50x

-40x

10x=20

x=2

10. Doors galore because 1 hours equates to 90 while g&h is 100 and so 90>100 then Doors galore is cheaper

thank you & if this helped pls don't forget to give brainiest

6 0
2 years ago
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