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A manufacturer claims that the mean lifetime, of its light bulbs is months. The standard deviation of these lifetimes is months. Thirty-seven bulbs are selected at random, and their mean lifetime is found to be months. Assume that the population is normally distributed. Can we conclude, at the level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from months?
A manufacturer of athletic footwear claims that the mean useful lifetime of his product will exceed 50 hours. A random sample of 36 pairs of shoes leads to the following sample results, in terms of useful life: x = 52.3 hours and s = 9.6 hours.
A sample of 49 provides a sample mean of 38 and a sample standard deviation of 7. Determine the standard error of the mean.
The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart.
The standard deviation for the costs of all doctors visits is $35.15, estimate with 95% confidence the average cost of a doctors visit for all the patients of this medical clinic.
Company wishes to know how many pounds of each chemical ingredient to put into the bag of fertilizer to meet minimum needs of 20 ounces of nitrogen, 36 ounces of phosphate, and 2 ounces of potassium during minimizing cost.
Assume a very large normally distributed population of scores on a test with mean 77 and standard deviation 7.
Find the maximum and minimum prices of the houses a contractor will build to include the middle 65% of the market.
What sample size must be taken to estimate the average gas price in houston with 99% confidence and max error of 5 cents? Assume population standard deviation of gas prices is 60 cents.
Suggests a survey of area restaurants to see if the situation is pervasive. What do you think of this research suggestion? How could you improve on your boss's formulation of the research question?
An averageof 2 cars arrive at a highway tollgate every 10 seconds. If this rate is approximated by a Poisson process, what is the probability that exactly 3 cars will arrive in a 10-second period?
Prepare a 10-13-question survey to gather primary data regarding your selected problem statement. Please note that you will not administer this survey as part of this assignment.
Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.
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