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Description: Using the SPSS Assignment Data Set provided, explore the data using measures of central tendency, measures of dispersion, and measures of relative position.
Plan for data: describe what you will do with data once you have it, include types of graphs used and types of summary statistics you will want to include.
The weekly demand for a product follows a normal curve with an average of 1000 units and a standard deviation of 200 units. In how many weeks during a typical 52-week year would be above 800 units?
Explain in simple language what "power = 0.24" means. Explain why the test you plan will not adequately protect you against selling a rod with conductivity 10.15.
Suppose we select a sample of 40 tires and use a simulator to determine the tread life. What is the likelihood of finding that the sample mean is between 59,050 and 60,950?
The diameter of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.225 inches. Determine the minimum error.
company are interested in how a new spaghetti sauce made from green tomatoes. What statistical test should be used to analyze these data?
To predict the winner a newspaper would like to have a poll that has a margin of error of less than 1%. Roughly how large a sample would be needed for such a poll?
Can we conclude from this that most workers there earn between $25 and $35 per hour? Is this the right interpretation for the margin of error?
Which is better: a sample of size 100 or a sample of size 1,000? Choose one and explain. Does the law of averages relate to the answer you give?
The Graduate Management Admission Test (GMAT) is a test required for admission into many masters of business administration (MBA) programs. Use α = .05 to test the claim that the mean total sco
Suppose you select a random sample of 200 students and find that the proportion of nonresident students in the sample of 0.44.
Pick any other variable you are interested in and do a simple 2-way ANOVA without replication. Why did you pick this variable and what do the results show?
Write down the differential equations which describe the probabilistic behavior of the unit in time as a Markov process. Find the reliability function for the unit.
Suppose that Total Revenue = 200Q and Total Cost = 80 + 50Q where Q, the quantity sold, is a random variable with expected value 20 and variance 4. What is the expected value of total profit?
Suppose that X and Y are random variables such that E(X) = 4, E(Y) = 2 and var(X) = var(Y) = 4. Let Z=X+Y. Find E(Z) (1 dp). Assuming that X and Y are statistically independent find var(Z) (1 dp)
How large a sample is required if we want to be 99% confident that our estimate of "μ" is off by less than 0.05? Is the sample size in part a) adequate?
A normal population has a mean of 60 and a standard deviation of 3. You select a sample of 36. Compute the probability the sample mean is?
Our sample proportion of voters for Clinton should be between what two values that are equidistant from the expected value? How would you solve for the standard Deviation for this problem?
Suppose that the exact values of the data x1, ..., x50 from an exponential distribution EXP(theta) are unknown. Find an approximate one-sided lower 95% confidence limit for P(X>t) based on this inf
Assuming it is known that eta = 150, find a pivotal quantity for the parameter theta based on the sufficient statistic.
Consider a random sample of size n from an exponential distribution, Xi ~ EXP(1,eta). Derive a 100(gamma)% equal tailed confidence interval for eta.
If it is known that s^2 = 9, find a 90% confidence interval for m based on the estimate x(bar) = 19.3 with n = 16.
Machines are planned to be used for a 60-day production run for a customer. Determine the number of spare machines required so that the probability of exceeding this number is 10%?
For each of the F statistics given above find the degrees of freedom and an approximate P-value. Summarize the results of these tests.