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One suggested method for solving the electric-power shortage in a region involves constructing floating nuclear power plants a few miles offshore in the ocean. Concern about the possibility of a ship collision with the floating (but anchored) plant has raised the need for an estimate of the density of ship traffic in the area. The number of ships passing within 10 miles of the proposed power-plant location per day, recorded for n = 60 days during July and August, possessed a sample mean and variance of Y = 7.2 and s2 = 8.8.
a. Find a 95% confidence interval for the mean number of ships passing within 10 miles of the proposed power-plant location during a 1-day time period.
b. The density of ship traffic was expected to decrease during the winter months. A sample of n = 90 daily recordings of ship sightings for December, January, and February yielded a mean and variance of Y = 4.7 and s2 = 4.9. Find a 90% confidence interval for the difference in mean density of ship traffic between the summer and winter months.
c. What is the population associated with your estimate in part (b)? What could be wrong with the sampling procedure for parts (a) and (b)?
When the conditionally and unconditionally expected values of a discrete random variable would be different?
Compute the expected value of the total waiting time of all passengers who have come to the station in order to catch a train that leaves at time t.
a battery manufacturer claims that the lifetime of certain type of battery is normal with population mean of 50 hours
Suppose the organizers of the study are reconsidering their sample-size estimate. How many participants should be enrolled in each of the active and control intervention groups to achieve 80% power if a two-sided test is used with α = .05
a random sample of 2000 men and 2700 women in the age group of 18 to 25 were asked if they still live with their
on june 4-24 2007 the gallup poll asked a random sample of adult americans about their attitudes toward interracial
The mean of the sampling distribution is 6 ounces. b) The standard deviation of the sampling distribution is 2.5 ounces. c) The shape of the sample distribution is approximately normal. d) All of the above are correct.
question in a completely randomized design 10 experimental units were used for the first treatment 12 for the second
We can compare two sample means to determine if the samples were obtained from normal populations with the same mean using the "t" distribution.
The hypothesis test produces a z-score of z = 2.37. Assuming that the researcher is using a two-tailed test, what decision should be made?
Compute the following: (Round the value for standard deviation and intermediate calculations to 2 decimal places and your final answer to 4 decimal places.)
Assume gasoline prices for a region are normally distributed. Do the data you obtained provide enough evidence to reject the claim?
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