Claire runs a rooftop nursery in the heart of the city. One day, she cuts 25 tulips, 32 violets, and 40 sunflowers. She sells th
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Answer:
p-value: 1.000
There is enough evidence at the 1% level of significance to suggest that the proportions are not equal.
Step-by-step explanation:
We will be conducting a difference of 2 proportions hypothesis test
The hypothesis for this test is:
H_0: p1 - p2=0
H_a: p1 - p2 ≠0
(p1 ) = 252/300 = 0.84
(p2) = 195/300 = 0.65
This is a 2 tailed test with a significance level of 1%. So our critical values are: z > 2.575 and z < -2.575
See the attached photo for the calculations for this test
Well, the answer will depend on whether the order will count or not (based on Permutations and Combinations). <em>If the order counts</em>, then we would use the formula for Permutations, which is:
Where n is the number of items you have, and r is the number of times you choose from the items.
Which simplifies to
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer 2730.
Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:
The variables are still the same, but you are now multiplying by r!.
Simplifies to
Which simplifies to (using the same cancellation method above)
Dividing 2730 by 3! will get us an answer of 455.
Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be 455 or 2730.
:)
Where n is the number of items you have, and r is the number of times you choose from the items.
Which simplifies to
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer 2730.
Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:
The variables are still the same, but you are now multiplying by r!.
Simplifies to
Which simplifies to (using the same cancellation method above)
Dividing 2730 by 3! will get us an answer of 455.
Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be 455 or 2730.
:)