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Identify the null hypothesis, alternative hypothesis, test statistic, p-value or critical value, and the conclusion about the null hypothesis. Use the P-value method.
Question: When a fair die is rolled many times, the outcomes of 1, 2, 3, 4, 5, and 6 are equally likely, so the mean of the outcomes should be 3.5. The author drilled holes into the die and loaded it by inserting lead weights, then rolled it 16 times to obtain a mean of 2.9375. Assume that the standard deviation of the outcome is 1.7078, which is the standard deviation for a fair die. Use a 0.05 significance level to test the claim that outcomes from the loaded die have a mean different from the value of 3.5 expected with a fair die. Is there anything about the sample data suggesting that the methods of this section should not be used?
Consider a four digit uniform random number generator; as in each of the 10,000 values 0.0000 through 9999 is equally likely. Find the mean and variance of the values produced by such a random number generator.
You attempt a 50 item (n = 50) true-and-false exam. You did not study for the material and your attempt to answer any item is a guess, with a 50% chance that you will get any item correct. You need a score of 30 or better to pass the exam.
Evaluate probability values using normal distribution and How many students earned more than $36,000? _______
Determine the probability that the sample mean is 20 or higher? What is the probability that the sample mean falls within 2 points of the population mean?
Quality Progress, February 2005, reports on the results achieved by Bank of America in improving customer satisfaction and customer loyalty by listening to the voice of the customer.
To find the necessary sample size to achieve the given level of accuracy of prediction.
A bank asks customers to evaluate the drive-through service as good, average, or poor. Which level of measurement does this classification illustrate?
The useful life of an electrical component is exponentially distributed with a mean of 2500 hours. a. What is the probability the circuit will last more than 3,000 hours.
Calculate the correlation and the regression equation and plot the data in the space provided.
The manager of Sandy Corporation wants to determine whether or not the type of work schedule for her employees has any effect on their productivity. She has selected 15 production employees at random and then randomly assigned 5 employees to each ..
Assume that female students' heights are normally distributed with a mean given by µ = 67.2 in. and a standard deviation given by σ = 3.6 in.
Convert each of the following z intervals to x intervals.
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