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Highway safety engineers test new road signs, hoping that increased reflectivity will make them more visible to drivers. Volunteers drive through test course with several of new- and old-style signs and rate which type shows up the best.
a) Is this one-tailed or a two-tailed test? Why?b) In this context, what would a Type I error be?c) In this context, what would a Type II error be?d) In this context, describe what is meant by the power of the test.e) If the hypothesis is tested at 1% level of significance instead of 5%, how will this affect power of the test?f) Engineers hoped to base their decision on re- actions of 50 drivers, but time and budget constraints may force them to cut back to 20. How would this influence the power of the test? Describe.
The sample mean and the standard deviation were determined to be 120 and 40 respectively. The standard error of the mean is?
a. What is the probability that one randomly selected student scores above 1100 on the GRE? b. Describe the sampling distribution of the sample mean for the 16 students.
An insecticide company exposes 10,000 cockroaches to its newest product, and exposes another 10,000 to their previous formula.
On randomly selected day, let X and Y, respectively, be proportions of time that the drive-in and walk-in facilities are in use. Determine the marginal density of X.
It was reported that 20 readers responded and 87% said "no" while 13% said "yes." Recognize 4 major flaws in this survey.
The Travel Weekly International Air Transport Association survey asked business travelers regarding the purpose for their most recent business trip.
Compute the number of French fries that would have to be sampled and measured to be 98% sure of being within 0.4 cm of the true mean.
What percent of the Fords traveled 62.000 miles or less during the year?
Explain these results to a person who understands the t test for a single sample but knows nothing about the t test for independent means.
Translate this into a statistical hypothesis-testing problem and carry out the test. Be sure to give the null and alternative hypotheses, the value of the test statistic, the p-value, and your conclusions.
Suppose the time interval between two consecutive defective light bulbs from a production line has a uniform distribution over an interval from 0 to 90 minutes.
A study of the scores on an in-plant course in management principles and the years of service of the employees enrolled in the course yielded the following statistics.
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