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 yrs 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 yr old children, μ = 4.1 hrs,  σ = 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 H0? Use an α = .05.    Question 1: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample of n =9 (MUST SHOW WORK FOR THIS PROBLEM)? Group of answer choices a. Ho: µ ≥ 4.1,   H1: µ < 4.1 b. Ho: µ ≤ 4.1,   H1: µ > 4.1 c. Ho: µ = 4.1,   H1: µ ≠ 4.1 d. Ho: µ > 4.1,  H1: µ ≤ 4.1 Question 2: Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)? Group of answer choices a. z = ±1.65 b. z = 1.62 c. z = -1.65 d. z = 1.65   Question 3: Compute the test statistic (z-observed) for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM).

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Please use the following information to answer questions 26-29:

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 yrs 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 yr old children, μ = 4.1 hrs,  σ = 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 H0? Use an α = .05. 

 

Question 1: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample of =9 (MUST SHOW WORK FOR THIS PROBLEM)?

Group of answer choices

a. Ho: µ ≥ 4.1,   H1: µ < 4.1

b. Ho: µ ≤ 4.1,   H1: µ > 4.1

c. Ho: µ = 4.1,   H1: µ ≠ 4.1

d. Ho: µ > 4.1,  H1: µ ≤ 4.1

Question 2: Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)?
Group of answer choices
a. z = ±1.65
b. z = 1.62
c. z = -1.65
d. z = 1.65

 

Question 3: Compute the test statistic (z-observed) for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM). 

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