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a) The average lifetime of a certain new cell phone is 3 years. The manufacturer will replace any cell phone failing within 2 years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution.
What is the decay rate? (Enter your answer as a fraction.)
b) The Sky Train from the terminal to the rental car and long-term parking center is supposed to arrive every 16 minutes. The waiting times for the train are known to follow a uniform distribution.
Find the 70th percentile for the waiting times (in minutes).
What is the probability that both of these problems are at fault? What is the probability that there is a software problem but no overload?
estimate the population mean based on a sample of size 25 for which the average is 100 and the standard deviation is
Assume you have the following data Ho mu = 2,450, s = 400, n = 100, and xbar = 2,300. Conduct a hypothesis test at the .01 significance level.
Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100 mm cigarettes.
Note that under the exponential assumption, P(X>t) = exp(-t/theta). If t=5, use the result from (a) to find an approximate one-sided lower 95% confidence limit for theta.
She wants to test H0: μ = 0.5 Ha: μ ≠ 0.5 Find the associated P-value. Is the result significant at the 5% level (α = 0.05)? At the 1% level (α = 0.01)?
A television station estimates that 45% of college students watch the Super Bowl. For a sample of 240 students selected at random, what is the mean and variance of the number of students who watch this game?
a common mistake many statistics students make is saying we accept the null or prove the null instead of fail to
Given a normal distribution with mu µ=100 and sigma = 10, 99?% of the values are between what two? X-values (symmetrically distributed around the? mean)?
The Bayer Aspirin Web site claims, "Nearly five decades of research now link aspirin to the prevention of strokes and heart attacks."
although researchers do their best to reduce error within every study there will always be error. it is important to
Identify whether a scatterplot would or would not be an appropriate visual summary of the relationship between the following variables.
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