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The Boston Marathon. The Boston Marathon has been run each year since 1897. Winning times were highly variable in the early years, but control improved as the best runners became more professional. A clear downward trend continued until the 1980s. Rick plans to make a control chart for the winning times from 1950 to the present. The first few times are 153, 148, 152, 139, 141, and 138 minutes. Calculation from the winning times from 1950 to 2011 gives
134.032 minutes and s = 6.462 minutes
Rick draws a center line at and control limits at 3s for a plot of individual winning times. Explain carefully why these control limits are too wide to effectively signal unusually fast or slow times.
There were 3 defectives in the first batch and 5 in the second. Find a 95% confidence interval using the plus four method for the difference in the proportion of defectives.
To determine if this is evidence that students perform worse under uncomfortable conditions, The P-value of a test
ACME Lumber Company selects a random sample of 36 customers. Customers are rated on their annual spend at ACME Lumber Stores.
The manager selected a sample of five executives from each of three industries. At the .05 significance level, can she conclude there is a difference in the mean number of hours spent per week by industry?
Recent crime reports indicate that 4.2 motor vehicle thefts occur each minute in the United States. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution.
let x be uniform on 01 and y be uniform on -11. consider the random variable zxy.a. using convolution find and
Want a sample size of about 60 (30 controls and 30 cases). At 5% significance and 80% power.How do i determine the standard deviation and mean difference.And how do i arrive at the 60? my study design is case-control.
a particularly long traffic light on your morning commute is green 20 of the time that you approach it. assume the
Iindependently of one another. Two hundred seeds of such a cross are raised, and 142 turn out to be blue-flowering. Are the data consistent with the model?
question a small factory consists of a machining center and inspection station in series. unfinished parts arrive to
what is the decision rule for a hypothesis test about the dierence between two population means if the p -value is
a) Find a 98% confidence interval for the proportion of children in England who are deficient in vitamin D. b) Explain carefully what your interval means. c) Explain what "98% confidence" means.
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