The current mean time for a production process is μ = 100 minutes. An engineer has developed a new method for completing the process that they want to show reduces the mean time for the production process i.e. Ho: = 100 H₁: < 100 Suppose that the engineer collects data and analysis leads to rejection of the null hypothesis. What type of decision has been made if in reality the actual mean process time has decreased? O Type-ll error O Type-l error O Correct Decision

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The current mean time for a production process is \( \mu = 100 \) minutes. An engineer has developed a new method for completing the process that they want to show reduces the mean time for the production process, i.e., 

\( H_0: \mu = 100 \)

\( H_1: \mu < 100 \)

Suppose that the engineer collects data and analysis leads to rejection of the null hypothesis. What type of decision has been made if in reality the actual mean process time has decreased?

- Type-II error
- Type-I error
- Correct Decision
Transcribed Image Text:The current mean time for a production process is \( \mu = 100 \) minutes. An engineer has developed a new method for completing the process that they want to show reduces the mean time for the production process, i.e., \( H_0: \mu = 100 \) \( H_1: \mu < 100 \) Suppose that the engineer collects data and analysis leads to rejection of the null hypothesis. What type of decision has been made if in reality the actual mean process time has decreased? - Type-II error - Type-I error - Correct Decision
Expert Solution
Step 1

Type 1 error :

If null hypothesis rejected if it is true.

 

Type 2 error :

If null hypothesis accepted if it is false.

 

According to question,

Null hypothesis: 

Mean=100  ( not decreased)

Alternative hypothesis:

Mean<100 (decreased)

 

 

 

 

 

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