During engine tests, you measure the thrust (in pounds)10 times and obtain this data: 4061 3637...

During engine tests, you measure the thrust (in pounds)10 times and obtain this data:

4061
3637
3215
4581
4373
4138
3701
3244
4520
4298

Can the normal distribution be used with this data? Use the Central Limit Theorem (CLT) to explain why we can or cannot assume that these values are from a normal distribution. Do you need to make any assumptions in order to apply the CLT?
Calculate the mean and variance for this sample.
(Assume that you can use a normal distribution...) Use a hypothesis test to determine if the mean thrust is greater than 3700. Use alpha = .05. Explain the result.

2. A colleague collects a second sample of engine thrust and finds the mean = 4073.2 (in pounds), variance = 237961.5, n = 10.

A.Use a hypothesis text to determine if the variance of your sample (in Q7) and the variance of this colleague’s sample are statistically the same or not. Use alpha = .05.

B. The means of the two samples seem different. Use a hypothesis test to determine if the difference in the means (from your sample in Q1 and your colleague's sample here) is statistically different from zero or not. Use alpha =.01.

C. Use the concept of a sampling distribution to explain how two numerically different sample means could both be unbiased estimates for the same population mean.

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Expert Solution

orchestra answered 2 years ago

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