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A random sample of 20 students obtained a mean of x = 72 and a variance of s2 = 16 on a college placement test in mathematics. Assuming the scores to be normally distributed, construct a 98% confidence interval for sigma^2.
Calculate a 95% upper confidence bound on the mean. Compare this bound with the upper bound of the two-sided confidence interval and discuss why they are different.
How large of a sample would be necessary if no estimate were available for the proportion that support current policy?
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method
If Z = 1.96, s = 3, and E = 1, determine the correct sample size.
A manufacturer claims that the life span of its tires is 52,000 miles. You work for a consumer protection agency and you are testing these tires. Assume the life spans of the tires are normally distributed.
We can assign probabilities to values of using the normal density curve with mean 0.30 and standard deviation 0.023. Use this density curve to find the probabilities of the following events.
Digital camcorder repair service has set the goal not to exceed average of 5 working days from time unit is brought in to time repairs are completed. Compute the t-value.
Regression analysis works with the basic formula of a line, which is Y = mX + b. We can use it to look at causation. Think about the Lemonade Stand Game.
At the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 49 months? Perform a two-tailed test.
There is a worker error is 0.3, and the probability that an accident will occur when there is no worker error is 0.2. Find the probability of a worker error if there was an accident.
A local bank wants to install motion detector burglar alarms. Each has a 70% chance of detecting a burglar. If the bank wants to be 99% certain of detecting a burglar how many need to be installed?
Use this information to construct a probability table, and then calculate each of the following probabilities: P(foreign car)
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