A packaging company strives to maintain a constant temperature for its packages that require a specific temperature range. It is believed that the temperature of packages follows a normal distribution with a mean of 5 degrees Celsius and a standard deviation of 0.3 degree Celsius. Inspectors take weekly samples for five weeks of eight randomly selected boxes and report their temperatures. The five weekly sample means are shown in the table below.
Question 1-
A packaging company strives to maintain a constant temperature for its packages that require a specific temperature
| Week 1 | 4.97 |
| Week 2 | 5.16 |
| Week 3 | 5.12 |
| Week 4 | 5.35 |
| Week 5 | 5.50 |
How many points are outside the control limits?
Question 2-
According to the central limit theorem, for any population, the sampling distribution of the sample mean X⎯⎯⎯X¯ is approximately normal if ______.
-
the population mean is known
-
the
sample size n ≥ 30 -
the population standard deviation is known
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the underlying sample is normal
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