Step 2: Which of the following represents the critical region for this mentioned samp O z= +1.65 O z = 1.62 O z = -1.65 O z = 1.65

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Recent research suggests that children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To examine this relationship, a researcher obtains a random sample of \( n = 36 \) children aged 8-12 years old who have been diagnosed with ADHD. Each child is asked to keep a journal recording how much time they spend watching TV. The average daily TV time in the sample is 4.9 hours. It is known that in the population of 8-12 year old children, \( \mu = 4.1 \) hrs, \( \sigma = 1.8 \), and is normally distributed.

If the researcher had only used a sample of \( n = 9 \) children and obtained the same sample mean, would the results be sufficient to reject \( H_0 \)?
Transcribed Image Text:Recent research suggests that children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To examine this relationship, a researcher obtains a random sample of \( n = 36 \) children aged 8-12 years old who have been diagnosed with ADHD. Each child is asked to keep a journal recording how much time they spend watching TV. The average daily TV time in the sample is 4.9 hours. It is known that in the population of 8-12 year old children, \( \mu = 4.1 \) hrs, \( \sigma = 1.8 \), and is normally distributed. If the researcher had only used a sample of \( n = 9 \) children and obtained the same sample mean, would the results be sufficient to reject \( H_0 \)?
**Step 2: Which of the following represents the critical region for this mentioned sample?**

- ○ \( z = \pm 1.65 \)
- ○ \( z = 1.62 \)
- ○ \( z = -1.65 \)
- ○ \( z = 1.65 \)
Transcribed Image Text:**Step 2: Which of the following represents the critical region for this mentioned sample?** - ○ \( z = \pm 1.65 \) - ○ \( z = 1.62 \) - ○ \( z = -1.65 \) - ○ \( z = 1.65 \)
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Consider the level of significance is 0.05.

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