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In a manufacturing process, the diameter of the steel rods is the product characteristic. A random sample of 25 steel rods is taken and sample mean is 8.88 cm. The diameter is assumed to be normally distributed with standard deviation 1.25.
(i) Find a 95% confidence interval for the true diameter. If the standard deviation is unknown and the sample standard deviation is 1.25, will the 95% confidence interval be narrower or wider?
(ii) If we would like the difference between the true mean and the sample mean to be less than 0.15, what is the minimum number of steel rods that we need to sample. Use alpha = 0.05.
In the Arnold's Muffler example for the exponential distribution, the average rate of service was given as 3 per hour, and the times were ex-pressed in hours.
Given same values n=20, p=0.6, and x=17, calculate probability of x successes in n independent trails of experiment.
A research firm conducted a survey to determine the mean amount people spend at a popular coffee shop during a week. They found the amounts spent per week followed a normal distribution with a population standard deviation of $4.
An independent financial advisor claims an average rate of return, μ, on a particular investment is at least 7%. In testing her claim, the correct pair of hypotheses is:
A random variable has the density curve as in the graph below. Find The height of the density curve?
Previous studies have indicated the standard deviation of annual earnings for college students is $850. How large a sample would need to be taken to estimate the mean for college students' annual earnings to within $200 with 99% confidence?
Let S = {c, h, j, q, t, y} be a sample space of an experiment and let E = {c, h}, F = {c, q, y}, and G = {h, j, t} be events of this experiment. (Enter your answers using roster notation. Enter Ø for the empty set.)
A sociologist claims that the success of students in college (measured by their GPA) is related to their family's income. For a sample of 20 students, the coefficient of correlation is 0.40. Using the 0.01 significance level
Determine critical path and project completion time. Determine the probability that the project will be finished in 70 days or less. Determine the probability that the project will be finished in 80 days or less
Results are comparable to what could be expected in human serum. Are true binding percentages for five antibiotics tested all equal? Let α = 0.05.
each person received was determined by randomization. For each person who was sent one of the surveys, the researcher recorded whether or not a completed survey was returned.
A survey found that 85% of women in a given city enjoy shopping online. Suppose you randomly selected 6 women from the city and ask them whether or not they enjoy shopping online. Find the probability that exactly 4 say they enjoy shopping online.
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