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Suppose the Total Sum of Squares for a design with k=6 treatments and n=36 total measurements (six per treatment) is equal to 500. In each of the following cases, conduct an F-test of the null hypothesis that the mean responses for the treatments are the same. Use a 95% confidence level.
a. Sum of Squares for Treatments is 20% of the Sum of Squares Total.
b. Sum of Squares for Treatments is 50% of the Sum of Squares Total.
c. Sum of Squares for Treatments is 80% of the Sum of Squares Total.
d. What happens to the F-ratio as the percentage of the Total Sum of Squares attributable to treatments is increased?
At α = .05 in a left-sided test, find the β risk and power assuming that the true mean is really 380 square feet per gallon. (b) Construct a left-sided power curve, using increments of 5 square feet (400, 395, 390, 385, 380).
According to a recent poll, 53% of Americans would vote for an incumbent president. If a sample of 100 people results in 45% who would vote for the incumbent, test the claim that the percentage is 53%. Use a .10 significance level.
For a sample of 12 items from a normally distributed population for which the standard deviation is s=17.0, the sample mean is 230.8. At the 0.05 level of significance
Suppose that population has normal distribution. Determine a 95 percent confidence interval for population standard deviation sigma.
Reading highway signs is not always easy, especially if your vision is imperfect. Vision in general tends to deteriorate with age. Two researchers conducted a study to determine if the distance at which a standard highway sign could be recognized ..
The amount of money spent by a customer is uniformly distributed over (0,100). Find the mean and variance of the amount of money that the store takes on a given day.
At the .10 significance level, can we conclude that there is a difference in the length of time the two types of treatment lasted?
A test consist of 30 multiple choice questions, each with five possible answers, only one of which is correct. find the mean and standard deviation of the number of correct answers.
What are the chances of getting 15 days of rain during the next 30 days? What do you think about Joe's assumptions concerning the weather for the next 30 days?
The company offers a warranty of 1 year for the product. What percentage of the product sold by the company will need warranty service (that is, it will last less than 1 year)?
It is believed that population standard deviation is 15 days. If test is conducted using 0.05 level of significance, what conclusion must be reached?
Many vehicles used in space travel are constructed with redundant systems to protect the flight crew and their equipment. Find the probability that this shuttle component functions successfully if n = 2.
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