A florist has 72 red roses and 40 white roses. If the florist creates the greatest number of identical bouquets possible with a
2 answers:
Answer: OPTION B.
Step-by-step explanation:
For this exercise you need to find the Greatest Common Factor (GCF).
The steps are:
1. Descompose the given numbers into their prime factors.
2. Choose the common ones and multiply them.
Then, knowing that the florist has 72 red roses and 40 white roses, you get that the Greatest Common Factor is:
In order to find the number of white roses in each bouquet, you need to divide the number of white roses the florirst has (40 roses) by the Greatest Common Factor.
Then, you get:
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Answer:
p value = 0.0174
Conclusion : we reject the null hypothesis
Step-by-step explanation:
Thinking step:
We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of
Assumption : all the population for each or the three shifts is not equal.
Calculation:
Let p₁ be the sample of the first shift
p₂ be the sample of the second shift
p₃ be the sample of the third shift
According to the null hypothesis
H₀ = p₁ = p₂ = p₃
In other words, all the population sample proportions are equal.
Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃
Tabulating and performing the ² test gives 8.10
degrees of freedom:
df = k - 1
= 3 - 1 = 2
Thus the degree of freedom is 2
Solving using the MINITAB software gives: p = 0.174
The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤≤0.05
Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.