A teacher gives a test in which the average of the test scores is 68 and the standard deviation is 14. Realizing that the test w
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Answer:
Type II error will occur when we conclude that the mean breaking strength of the cord is smaller than or equal to 250 pounds but in actual it was not true.
Step-by-step explanation:
We are given that you are considering going bungee jumping, but would only go if the mean breaking strength of the cord was greater than 250 pounds.
If the mean breaking strength of the cord is greater than 250 pounds, the bungee cord will not break.
<u><em>Let </em></u><u><em> = mean breaking strength of the cord</em></u>
So, Null Hypothesis, :
250 pounds
Alternate Hypothesis, :
> 250 pounds
Here, null hypothesis states that the mean breaking strength of the cord was smaller than or equal to 250 pounds.
On the other hand, alternate hypothesis states that the mean breaking strength of the cord was greater than 250 pounds.
Now, Type II error states the Probability of accepting null hypothesis given the fact that it was false or Probability of accepting the false hypothesis.
SO, <u>according to our question, Type II error </u>will occur when we conclude that the mean breaking strength of the cord is smaller than or equal to 250 pounds but in actual it was not true and he mean breaking strength of the cord was greater than 250 pounds.