Population standard deviation
The average length of stay at a local hospital is 4.9 days. Assuming a population standard deviation of 3.5 days, what is the probability a random sample of 50 patients has an average stay of 5.2 days or less?
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In the test of a certain hypothesis, the P-value corresponding to the test statistic is 0.0316. Can the null hypothesis be rejected at the
Data with 250 observations are drawn from a bell-shaped distribution with a mean of 50 and a standard deviation of 12. Approximately how many observations are more than 74?
This is another example of regression to the mean: students who do well on the midterm will on average do less well, but still above average, on the final.
Mars states that the population proportion of blue M&Ms is .240. When approximating the binomial distribution as NORMAL, what is the probability of calculating a sample proportion of .237 or less blue M&Ms from a sample size of n = 70?
In an application to estimate the mean number of miles that employees commute to work roundtrip each day, the following information is given: n = 20; sample mean = 4.33; sample standard deviation of s = 3.50 miles.
Suppose you want to estimate the population proportion of statistics nerds at college. To do so, you take a sample of 100 students and find that 20 of those students were bona-fide, genuine statistics nerds. What is the lower limit of the 90% conf
A large city claims that it provides "free lunch" to more than 30% of its elementary school students. A researcher selects a random sample of 200 students and finds that 72 were getting free lunches. Does the evidence supports the claim at ? = 0.0
An engineer takes a large number of independent measurements of the length of a component and obtains Mean X = 5.2 mm and Standard Deviation = 0.1 mm.
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