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(Normal distribution). Suppose a random variable X follows a normal distribution with mean µ = 8 and standard deviation σ = 2. Find:
1. probability that X exceeds 10.
2. probability that X is between 6 and 10.
3. probability that X is at most 8.
4. the 95th percentile for X
Five test vehicles of each kind were crashed, with results given below. Research question: Are mean crash damages the same for these 3 vehicles?
Recently, a large academic medical center determined that 6 of 17 employees in a particular position were female?, whereas 48?% of the employees
Explain the difference between the null and alternative hypothesis. Which one can be proven in a statistical sense?
What is the probability that foreclosures will increase in the Inland Empire given that they increased in Vegas?
At the 0.05 level of significance, is there sufficient reason to believe that the integers are not being generated uniformly?
What does the CLT say? Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population.
If 80 people are randomly selected, what is the probability the percentage of these people who bring concessions is between 51% and 58%?
The data below are the numbers of hours of homework done as reported by 24 high school juniors for the last week in September 2006.
Rainfall. Suppose that the distribution of annual rainfall in a particular place, measured in inches, is approximately gamma with shape parameter r = 3.
What is the difference between the null hypotheses in a One Sample T-test compared to a Two Sample T-test?
Assume a group of students provides happiness ratings for how happy they feel during the school year and how happy they feel during the summer.
What is the probability that the next house will be contacted and refuse to cooperate? (Round to two decimal places as needed).
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