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1. A manufacturing plant produces a food product with a mean shelf life of 84 days and a standard deviation of 11 days. For a sample of 60 items, answer the following questions
a) What is the likelihood that the sample mean is at least 88 days?
b) What is the likelihood that the sample mean is between 86 and 88?
c) 80% of all sample means will be ABOVE what number of days?
2. A recent employee satisfaction survey taken within a multinational company found that 78% of all employees were satisfied with the working conditions. A sample of 250 employees is taken, what is the probability that
a) 85% or more of the sampled employees are satisfied?
b) 65% or less of the employees are satisfied.
c) Construct a 95% confidence interval of the true population proportion of employees who are satisfied if in a sample of 250 employees 190 said that they were satisfied.
Both estimates are obtained from independent random samples of 25 days. Conduct a test for equality of mean catch and report your p-value.
Let Y =1 if the second coin is heads, and Y =5 if the second coin is tails. Let Z =XY. What is the probability function of Z?
The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Scores range from 0 to 200.
Consider a sample of size 3 drawn in the following manner. One starts with an urn containing 5 white and 7 red balls.
A poll conducted in 2013 found that 52% of U.S. adult Twitter users get at least some news on Twitter, and the standard error for this estimate was 2.4%.
Sat verbal scores are normally distributed with a mean of 426 and a standard deviation of 94. Use the Empirical Rule to determine what percent of the scores lie between 332 and 426.
What is the probability that a sample of 4 of the 8 computers will not contain a defective computer?
What percent of the children spend over 10 hours per day unsupervised? (Round your answer to four decimal places.)
Compare AND contrast the three measures of central tendency: mean, median and mode. Is there a "best" measure of central tendency?
Given the summary information in given Exercise, verify the calculation of the 95% confidence interval for each of the treatment means.
Furthermore, assume that the standard deviation of the population is $0.14. The value of the test statistic for this hypothesis test and the p-value respectively are?
What is the probability that a randomly selected value from variable A will be greater than 9?
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