The Scarlet Witch wants to test if the synthezoid she produces have a breaking strength of 5000 kg. A breaking strength of less than 5000 kg would not be adequate to revive Vis, and to produce a synthezoid with breaking strengths of more than 5000 kg would risk losing the memory of Vis. Scarlet Witch takes a random sample of 64 pieces of synthezoid and finds that the average breaking strength is 5100 kg and the sample standard deviation is 480 kg. Can Scarlet Witch revive Vis by producing a synthezoid with a breaking strength of 5000 kg at the 5% level of significance?

1. What is the appropriate testing hypothesis?

2. What is the computed value corresponding to X bar? and For the tail test, acceptance region is within?

3. What is the equivalent acceptance region in terms of kg?