Answer:
a) "This is an upper-tail test because the company wants to show the stands will hold 525 pounds (or more) easily."
b) "They will decide the stands are safe when they're not."
c) "They will decide the stands are unsafe when they are in fact safe."
Step-by-step explanation:
a) As the alternative hypothesis Ha is μ>575, the rejection region lays in the upper tail. Then, it is an upper-tail test.
They are testing the claim that the stand supports an average of 575 pounds or more, and are looking for statistical evidence for that claim.
"This is an upper-tail test because the company wants to show the stands will hold 525 pounds (or more) easily."
b) A Type I error happens when a true null hypothesis is rejected.
This would mean that a stands that doesn't really hold 575 pounds or more has passed the test. The stand would appear more safe than it is.
"They will decide the stands are safe when they're not."
c) A Type II error happens when a false null hypothesis failed to be rejected. In this case, a safe stand, that suports 575 pounds or more, does not pass the test.
"They will decide the stands are unsafe when they are in fact safe."
