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An automobile company thinks that with new designs, it scars will last longer before having a problem. For this reason the company wishes to extend the warranty that comes with the vehicle in hopes of attracting more customers. Before making this change the idea is tested. Prior to the design changes, the cars lasted on the average 43 months before having a major problem. A sample consisting of 50 cars was tested. The cars lasted an average of 44 months before having a major problem. The standard deviation is 2 months.
a. Set up the null and alternative hypotheses to test if average time before having a major problem is longer than 43 months
b. Test your hypotheses using alpha = 0.05
c. Find the p value
d. Based on the p value, what can you conclude about the average time before having a major problem?
Give the estimate of mean and variance of population distribution of weekly wintertime Breckenridge snowfall using sample.
Jill constructs a test to measure a personality state. The test consists of multiple items which sum up to indicate the degree of the trait that is present.
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
Provide one example in the accounting department that you can apply a contingency table to. Briefly explain how a contingency table can be useful.
Suppose a new weight loss program was sponsored by the local health and fitness club in a small town. The program claims to make people lose more than five pounds in a month. Twelve participants were selected and their weights were recorded.
A survey of the opinions of property owners about a street widening project was taken to determine whether the resulting opinion was related to the distance of front footage.
a) Do a test to see if workers attitudes on this matter have changed using a 90% alpha. b) Explain to management what your findings are and what this suggests about future decisions vs work options.
You are Supervisor or Research for Doggie Heaven Biscuit Company. Your scientists have developed a new dog biscuit for the treatment of doggie breath.
Suppose that 20 students have registered for course this semester. Determine the probability that two or fewer will withdraw? Determine the probability that exactly four will withdraw?
For certain bird species, wiith appropriate assumptions, the number of nests escaping predation has a binomial distribution. Suppose the probability of success (that is, a nest's escaping predation is .3. Find the probability that at least half of..
A recent study of 75 workers found that 53 people rode the bus to work each day. Find the 95 percent confidence interval of the proportion of all workers who rode the bus to work.
A linear correlation coefficient very close to 0 implies that there is a linear correlation between the averages, but a correlation between the averages does not imply a correlation between individuals as the conclusion incorrectly suggest.
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