Question 1176959: 1.)(a)Consider a t distribution with 29 degrees of freedom. Compute
P<−1.59
Round your answer to at least three decimal places.
P<−1.59
(b)Consider a t distribution with 9 degrees of freedom. Find the value of c
such that =P≤tc0.10
Round your answer to at least three decimal places.
c=
2.) A laboratory in Florida is interested in finding the mean chloride level for a healthy resident in the state. A random sample of 70
healthy residents has a mean chloride level of 104 mEqL. If it is known that the chloride levels in healthy individuals residing in Florida have a standard deviation of 38mEqL, find a 90% confidence interval for the true mean chloride level of all healthy Florida residents. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
Lower limit
Upper Limit
3.)An ecologist randomly samples 14plants of a specific species and measures their heights. He finds that this sample has a mean of
17 cm and a standard deviation of 1 cm. If we assume that the height measurements are normally distributed, find a
99% confidence interval for the mean height of all plants of this species. Then find the lower limit and upper limit of the
99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
Lower limit
Upper Limit
4.)Suppose that 159 out of a random sample of 225 letters mailed in the United States were delivered the day after they were mailed. Based on this, compute a 99% confidence interval for the proportion of all letters mailed in the United States that were delivered the day after they were mailed. Then find the lower limit and upper limit of the 99%confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Lower limit
Upper Limit
5.)Managers at an automobile manufacturing plant would like to estimate the mean completion time of an assembly line operation,
μ . The managers plan to choose a random sample of completion times and estimate μ via the sample. Assuming that the standard deviation of the population of completion times is 10.2 minutes, what is the minimum sample size needed for the managers to be
90% confident that their estimate is within 2.0minutes of μ?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
Answer by ikleyn(52784)   (Show Source):
You can put this solution on YOUR website! .
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