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Let us illustrate the idea of a sampling distribution in the case of a very small sample from a very small population. The population is the scores of 10 students on an exam:
Student 0 1 2 3 4 5 6 7 8 9Score 82 62 80 58 72 73 65 66 74 62
The parameter of interest is the mean score in this population. The sample is an SRS of size n = 4 drawn from the population.
a) Find the mean of the 10 scores in the population. This is the population mean .
Find the maximum and minimum prices of the houses a contractor will build to include the middle 65% of the market.
Distinct random variable
Differentiate between correlation and causation. What are the practical applications? How would it be used in the workplace?
Fit a linear regression model for bp against sodium. Do you think this is a model with a good fit? Why?
To cross a single lane of moving traffic, we require at least a duration d. Successive car interarrival times are independently and identically distributed with probability density function fT (t).
Why do we do power calculations with single sample z test? A) Because we can use Z area tables to calculate the power. B) Because comparing a sample mean against a population mean is very powerful
The diameters of oranges in a certain orchard are normally distributed with a mean of 5.26 inches and a standard deviation of 0.50 inches.
The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Use Excel to find the..
Suppose the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with three children will have two boys and one girl.
How does a t test differ from a z test in terms of when it is used, how it is calculated, and how we determine significance?
If she performs 15 demonstrations this week, what is the probability of her being satisfactory? What is the probability of between 4 and 8 (inclusive) orders?
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
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