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Mama L [17]
2 years ago
13

A chain of stores knows that 90\%90%90, percent of its customers pay with a credit or debit card, 5\%5%5, percent pay with cash,

and 5\%5%5, percent pay with a service on their smartphones. They installed a new system for receiving payments, and they wonder if these percentages still hold true. They plan to take a random sample of customers in order to perform a \chi^2χ
2
\chi, squared goodness-of-fit test on the results.
What is the smallest sample size the company can take to pass the large counts condition?
Mathematics
2 answers:
Alex_Xolod [135]2 years ago
7 0

Answer:

The smallest sample size the company can take and still pass the large counts condition is 100 total customers.

Step-by-step explanation:

The large counts condition says that all expected counts need to be at least 5. The company needs to sample enough customers so that they expect each mode of payment to appear at least 5 times. Since the distribution they expects is uneven, we should look at the mode of payment that has the lowest expected percentage.

The lowest expected percentage is 5%, percent, which is the percentage of both cash and payment via smartphone, We need to pick a sample so 5%, percent of its size equals at least 5.

0.05x ≥5

x ≥100

So, the company needs to sample at least 100 customers.

alex41 [277]2 years ago
4 0

100 people cuz 90% of 100 is 90

5 % is 5

So its easier to interpret

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3 years ago
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Aleksandr [31]

Answer:

c ≥ 56   is the REQUIRED INEQUALITY.

Step-by-step explanation:

Here, the given  question is INCOMPLETE.

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.

Now, here:

The number of cans Xander needed to collect = At least 120

The number of items already collected =  64

c: the number of cans, c, that Xander must still collect.

Now, the number of cans to be collected  - Cans already collected  

=  120 - 64  = 56

So, the number of can he must collect to make a TOTAL OF AT LEAST 120 cans  =  56 cans

⇒ The number of cans to be collected ≥ 56 cans

⇒c ≥ 56 cans

or, c ≥ 56   is the REQUIRED INEQUALITY.

3 0
3 years ago
A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. Josh decides to make the house addition smaller, and
emmasim [6.3K]
It is decreased by a factor of 3. You can determine this by realizing that one inch original equals 3.3 feet, but the equals 1.1 feet, and 3.3/1.1 = 3.
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The first four terms of a geometric sequence are 27, x, 3, 1. find the value of x
Vikki [24]

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Step-by-step explanation:

7 0
3 years ago
What is the equation of a line that passes through point R(3,7) and has a slope of 6?
djyliett [7]
The answer in slope intercept form is y = 6x-11

If you want the answer in standard form, then it would be 6x-y =11

notes:
* Slope intercept form is y = mx+b
* Standard form is Ax+By = C
=====================================

Explanation:

The given slope is m = 6
The line goes through (x,y) = (3,7)

Plug those three values into the equation below. Isolate b
y = mx+b
7 = 6*3+b
7 = 18+b
7-18 = 18+b-18 ... subtract 18 from both sides
-11 = b
b = -11

So because m = 6 and b = -11, this means y = mx+b turns into y = 6x-11

The answer in slope intercept form is y = 6x-11

To convert to standard form Ax+By = C, we just have to get all the x and y terms together on the same side. I'm going to move the y term to the right side and move the 11 to the left side

y = 6x-11
y+11 = 6x-11+11
y+11 = 6x
y+11-y = 6x-y
11 = 6x-y
6x-y = 11

The answer in standard form is 
6x-y = 11
which is a different way to write the same line

4 0
3 years ago
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