Thomas is a shift manager at a local fast food place, and is ...

[lunatika]

Thomas is a shift manager at a local fast food place, and is responsible for quality management. Thomas wants to ensure that each of the frozen hamburger patties that get delivered by the supplier weighs four ounces on average.
 
  Assume that the standard deviation of the weight of hamburger patties is known to be 0.1 ounces. Thomas tells one of his employees that as a shipment comes in, select 20 patties at random and find the average weight for the 20 patties. If the average weight is less than 3.95 ounces, reject the shipment. What is the smallest significance level associated with this decision rule?A) 0.015
  B) 0.008
  C) 0.023
  D) 0.013

Question 2

When we convert normal distributions to the standard normal distribution, we are essentially making them all alike. How is this possible and what are the implications?
 
  What will be an ideal response?

[bfulkerson77]

Answer to Question 1

D

Answer to Question 2

Normal distributions are bell-shaped and symmetric around their means. When a normal population is standardized, every value is replaced by a value equal to the number of standard deviations above or below the mean that particular value is. So in a normal population with mean 10 and standard deviation 2, the value 8 becomes z = -1 and so does the value 6 in a normal population with mean 10 and standard deviation 4. So, all normal populations become related to this one standard normal population. That is why, for every normal population 68.26 fall within 1 standard deviation of the mean, 95.44 fall within 2 and 99.73 fall within 3. The only thing that really matters for a normal distribution are the standardized z values. Once you know how many standard deviations above or below the mean a value in the normal population is, you can always determine that value and any probabilities about that value.

[lunatika]

Thank you

[bfulkerson77]

Happy to help you