Please use the following information to answer questions 21-23: 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. Are the data sufficient to conclude that children with ADHD watch significantly more TV than children without the disorder? Use an α = .05. Question 1: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample of n =36 (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 = 1.65 c. z = -1.65 d. z = 1.62 Compute the test statistic (z-observed) for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4BGP

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Please use the following information to answer questions 21-23:

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.

Are the data sufficient to conclude that children with ADHD watch significantly more TV than children without the disorder? Use an α = .05.

Question 1: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample of n =36 (MUST SHOW WORK FOR THIS PROBLEM)?

Group of answer choices

a. Ho: µ ≥ 4.1, H_1:µ < 4.1

b. Ho: µ ≤ 4.1, H_1:µ > 4.1

c. Ho: µ = 4.1, H_1:µ ≠ 4.1

d. Ho: µ > 4.1, H_1: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 = 1.65

c. z = -1.65

d. z = 1.62

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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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