Answer:
2.) 2 orange marble in a raw
Step-by-step explanation:
because there are more orange marble than other colours
The birth weight of elephants at the 85th percentile is 262.16 pounds
<h3>What is the standard deviation?</h3>
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
Given that:-
The average birth weight of elephants is 200 pounds = 200
The deviation of 60 pounds. = 60
The birth weight of elephants at the 85th percentile. z = 85%= 1.036
Now from the formula of z-score:-
Hence the birth weight of elephants at the 85th percentile is 262.16 pounds
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Answer:
Z = -1.333
P-value = 0.09176
Decision Rule: Reject if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Step-by-step explanation:
Given that:
The sample size of the poll = 1068
The proportion of voters that preferred Democratic candidate is = 0.48
To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5
The null hypothesis and the alternative hypothesis can be computed as:
Using the Z test statistics which can be expressed by the formula:
Z = -1.333
P-value = P(Z< -1.33)
From z tables,
P-value = 0.09176
The level of significance ∝ = 0.05
Decision Rule: Reject if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Answer:
V = 15/4π = 3.75π
Step-by-step explanation:
V=πr^2h
V=π(1/2^2)15
V=π(1/4)15
V=15/4π