Suppose you are testing agricultural soil samples to determine the percentage of
ID: 3053101 • Letter: S
Question
Suppose you are testing agricultural soil samples to determine the percentage of organic matter in the soil in a field. You formulate the following hypothesis test: H1?? 696 Which of the following sentences describes a Type l error? The soil has 6% organic matter, and we decide it has 696. ?The soil has 6% organic matter, and we decide it does not have 6%, @The so does not have 6% arganic matter, and we decide it has 6%. The soil does not have 6% organic matter, and we decide it does not have 6%. QUESTION 2 Suppose you are testing rope samples to determine whether the maximum force the rope can sustain before breaking is greater than 1000 Ibs. You formulate the following H0: ?-1000 lbs H1 : ? > 1000 lbs Which of the following sentences describes a Type ll error? O The rape breaking force is greater than 1000 lbs, and we deade it is greater than 1000 IBs. 0 The rope breaking force is greater than 1000 lbs, and we decide it is equal to 1000 Ibs. O The rope breaking force is equal to 1000 lbs, and we decide it is greater than 1000 lbs. O The rape breaking force is equal to 1000 lbs, and and we decide it is equal to 1000 lbs QUESTION 3 Suppose you are measuring the temperature at which rücket propellant burns to determine whether it wall exceed the maximum temperature that the rockec nozzle can sustain. You formulate the followins hypothesis cest Hig ?-2000 degrees F H1: ? > 2000 degrees F Which of the following sentences descnbes a Type lerror? O The temperature is equal to 2000 degrees F, and we decide it is equal to 2000 degrees F oThe temperature is equal to 2000 degrees F, and we decide it is greeser then 2000 degrees f ? The temperature is greaterthan 2000 degrees F, and we decide it is equal to 2000 degrees F. The temperature is greater than 2000 degrees F, and we decide it is greater than 0 degrees F.Explanation / Answer
1)
A type I error is a kind of error that occurs during the hypothesis testing process when a null hypothesis is rejected even though it is true and should not be rejected.
The soil has 6% organic matter and we decide it does not have 6%
2)
A type II error is a statistical term used within the context of hypothesis testing that describes the error that occurs when one accepts a null hypothesis that is actually false.
The rope breaking force is greater than 1000lbs, and we decide it is equal to 1000 lbs
3)
A type I error is a kind of error that occurs during the hypothesis testing process when a null hypothesis is rejected even though it is true and should not be rejected.
The temperature is equal to 2000 degrees F and we decide it is greater than 2000 degrees F
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