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The national average for the price of a gallon of unleaded regular gas is $1.16. I believe the price is higher in my area of the country. I want to test my claim by randomly selecting gas prices for 25 stations in my area. The following prices are:
$1.27 $1.29 $1.16 $1.20 $1.37
1.20 1.23 1.19 1.20 1.24
1.16 1.07 1.27 1.09 1.35
1.15 1.23 1.14 1.05 1.35
1.21 1.14 1.14 1.07 1.10
The prices listed above are normally distributed. Using a one-sample t-test command and a level of significance of .05, state the five steps of the hypothesis testing procedure using:
a) non-directional hypothesis
b) directional hypothesis
What should my recommendations be based on the hypothesis and the results?
Are the decisons different in part a (non-directional) than in part b (directional)? Explain why they would differ even if they don't?
What are the tradeoffs of the two types of hypothesis?
Does the data set represent a sample or a population? If it is a sample, describe the population from which it has been drawn.
A small independent stock broker has created four sector portfolios for her clients. Each portfolio always has five stocks that may change from year to year The volatility (coefficient of variation) of each stock is recorded for each year.
A City Survey states that 70 percent of all business owners favor increasing the parking fees. The city has commissioned a random sample of n = 100 business owners.
Let's work with a really idealized normal distribution. We'll pretend that American 12-year-old boys have an average (mean) weight of 100 lbs.
Determine the probability of fatal accident over lifetime? Describe your reasoning carefully. Suppose independent events. Why might the supposition of independence be violated?
Test the manager's claim at 5% and 1% significance level tests.
Assume that the amount your town's population grows every year is fixed or constant. Utilize your equation in part b to approximate the population in the year 2030.
If the player does not win or lose on his second roll he continues to roll, using the same criteria given for the second roll.
Assume the single pineapple is selected at random from last year's crop. Determine the probability that it weighs more than 35 ounces?
The CEO of the business has nothing better to do wheras measured the temperatures of 26 department managers 1 to 4 times every day to get a total of 123 measurements.
The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. The standard deviation of the mileage is 5,000 miles.
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 ..
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