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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 a test course with several of the new and old-style signs and rate which kind shows up the best.
a) Is this a 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 the 1% level of significance instead of 5%, how will this affect the power of the test?
f) The engineers hoped to base their decision on the reactions of 50 drivers, but time and budget constraints may force them to cut back to 20. How would this affect the power of the test? Explain.
If 50 cups of coffee were measured, what is the probability that: The sample mean per cup is less than 7.8 ounces?
Calculate (rounded to the nearest tenth) The correlation between IQ and Anxiety r =??
At the .05 significance level, is the number of units produced on the afternoon shift larger?
Assume X is an exponential random variable with parameter lambda. Find the method of moments estimator for lambda.
Interpret the three confidence intervals in terms of whether there is a significant difference between the mean of the sample and a hypothesized mean of 150.
A new industrial oven has just been installed at the Piatt Bakery. To develop experience regarding the oven temperature, an inspector reads the temperature at four different places inside the oven each half hour.
What percentage of population scored between the mean and Jorge?
She asks 10 people how many Standard Deviations songs they know. Her data are:
Show that theta~ = u(X) is an unbiased estimator of theta, where u(0) = 1 and u(x) = 0 if x =1,2, ... Compare the MSEs of theta(hat) and theta~ for estimating theta = e^(-m) when m=1 and m=2
A job placement director claims that the average starting salary for nurses is 24,000.A sample of 10 nurses' salaries has a mean of 23, 450 and a standard deviation of 400. Is there enough evidence to reject the director's claim at 0.05 level of s..
Find the sample mean and sample standard deviation for the amount of unspent money returned at the end of the day.
The level of satisfaction in a consumer survey would represent what level of measurement?
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