In: Statistics and Probability
4061 |
3637 |
3215 |
4581 |
4373 |
4138 |
3701 |
3244 |
4520 |
4298 |
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.