A sample of baseball games shows that the mean length of the games is 179.83 minutes. (The data is given in BaseballTimes if you
1 answer:
Answer: Yes, This sample provide evidence that the length of time for baseball games is more than 170 minutes.
Step-by-step explanation:
Since we have given that
Mean length of the games = 179.83
Standard error = 3.75
We need to find the value of P(X>170).
So, it becomes,
Let
Since z is greater than z(critical value).
So,Yes, This sample provide evidence that the length of time for baseball games is more than 170 minutes.
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Answer:
P(X=2|X≥1) = 0.0199973.
Step-by-step explanation:
The chance that each of the three children is allergic to peanuts is independent. Each with a chance of 2% = 0.02.
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The event includes
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.
In other words, implies that
.
.
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Answer:
H0: p ≥ 0.03 Ha: p < 0.03
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is , where:
represent the true proportion for the population of broken pieces
What we want to proof need's to be on the alternative hypothesis and the complement on the null hypothesis.
So the correct system of hypothesis for this case would be:
Null hypothesis:
Alternative hypothesis:
H0: p ≥ 0.03 Ha: p < 0.03