Go through the 5 step one-sample hypothesis testing procedure to determine if the sample mean is different than the pre-improvement project population mean of 497.21, using an alpha = .05 (this is a two tailed test). Explain the results to your boss.
Question one is complete. I am looking for help with question two. I need to explain what these results mean- not necessarily just showing the work like I did with part one. I had this question answered but they just did the math, which I didn't understand nor could I then explain what the results of that math meant. Like what can my boss do with this information.
***DONE***1.) Construct a 95% Confidence Interval with a known population standard deviation of 26.29. Briefly explain to your boss the results of your C.I. Calculation.
Your boss is still not completely convinced that the project was a success, so she asks you to:
2.) Go through the 5 step one-sample hypothesis testing procedure to determine if the sample mean is different than the pre-improvement project population mean of 497.21, using an alpha = .05 (this is a two tailed test). Explain the results to your boss.
Sample Waste Pounds (Table #2) |
469 485 468 463 472 |
480 487 467 462 480 |
If we take our data from table 2, we get a mean of 473.3 from a sample size of 10. Using the z tables, we get a value of 1.960 for z, and a standard deviation of 26.29 from table 1.
473.3+1.960 26.29/3.16 to 473.3−1.960 26.29/3.16
473.3+1.960(8.31) to 473.3−1.960(8.31)
473.3+16.29 to 473.3 −16.29
1.) This means we can be 95% confident that the numbers will fall between 457 and 489.59
2.) ?
***Please use type and not handwriting***
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