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Jim Sears manufactures farm equipment. His work requires the use of steel bars which must have a mean length of at least 50 inches. The bars can be purchased from a supplier in Kansas City whose bars average only 47 inches with a standard deviation of 12 inches, or from a supplier in Dallas whose bars average 49 inches with a standard deviation of 3.6 inches.
If Sears is to buy 81 bars from Kansas City, what is the probability they will have a mean of at least 50 inches? (Show calculations)
If Sears is to buy 81 bars from Dallas, what is the probability they will have a mean of at least 50 inches? (Show your calculations)
At the 0.10 significance level, can we conclude that the annual rates of return are higher on the big board?
The percentage rates of home ownership for 8 randomly selected states are listed below. Estimate the population variance and standard deviation for the percentage rate of home ownership with 99% confidence level.
Is there sufficient evidence to support the claim that site has an effect on the amount of pesticide?
At a board meeting of 20 businessmen, all of whom wear ties, what is the probability that:
An experiment was performed to investigate lifetime of a component exposed to high heat. Three different oven types were used at either 550°F or 600°F.
f x has a normal distribution with mean µ=15 and standard deviation σ= 3, describe the distribution of x values for sample size n, where n = 4, n = 16, and n = 100. How do the x distributions compare for the various sample sizes?
Suppose we drew a histogram of these 18 death rates using class intervals 1 — 1.9, 2 — 2.9, 3 — 3.9, 4 — 4.9 and 5 — 5.9. Using the histogram, we would
Find out the probability distribution, and the cumulative probability distribution of car arrivals.
Internal study by Technology Services department at Lahey Electronics disclosed company employees get the average of 2 emails per hour. Suppose arrival of these emails is approximated by Poisson distribution.
You had calculated the following measures of central tendency: the mean, the median, and the mean trimmed 25%. Which of these measures of central tendency will change when you correct the recording error?
Rolling a die Simulate 36 rolls of a fair die. Give the relative frequency and the corresponding theoretical probability of each of the outcomes and compare them.
Estimate with 95% confidence the mean reduction in time it takes for someone who has taken the sleeping pill to fall asleep.
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