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A parenting magazine reports that the average amount of wireless data used by teenagers each month is 5 Gb. For her science fair project. Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 25 teenagers at her high school, and calculates a mean of 4.7 Gb per month with a standard deviation of 0.9 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.01 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. O Tables Keypad Answer Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb.

A parenting magazine reports that the average amount of wireless data used by teenagers each month is 5 Gb. For her science fair project. Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 25 teenagers at her high school, and calculates a mean of 4.7 Gb per month with a standard deviation of 0.9 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.01 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. O Tables Keypad Answer Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Hypothesis Testing Example: Evaluating Wireless Data Usage by Teenagers** A parenting magazine claims that the average amount of wireless data used by teenagers each month is 5 Gb. For a science fair project, Ella seeks to challenge this claim by investigating whether the mean data usage among teenagers in her area is lower than reported. She gathers information from a simple random sample of 25 teenagers at her high school, finding a sample mean of 4.7 Gb per month with a standard deviation of 0.9 Gb per month. The population distribution is assumed to be approximately normal. Ella aims to test the magazine's claim at the 0.01 level of significance. **Step 3 of 3: Drawing a Conclusion** **Answer Choices:** - We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. - We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. - We reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. - We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. In this example, students will learn how to evaluate data, conduct hypothesis testing, and interpret possible outcomes based on statistical analysis.
Transcribed Image Text:**Hypothesis Testing Example: Evaluating Wireless Data Usage by Teenagers** A parenting magazine claims that the average amount of wireless data used by teenagers each month is 5 Gb. For a science fair project, Ella seeks to challenge this claim by investigating whether the mean data usage among teenagers in her area is lower than reported. She gathers information from a simple random sample of 25 teenagers at her high school, finding a sample mean of 4.7 Gb per month with a standard deviation of 0.9 Gb per month. The population distribution is assumed to be approximately normal. Ella aims to test the magazine's claim at the 0.01 level of significance. **Step 3 of 3: Drawing a Conclusion** **Answer Choices:** - We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. - We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. - We reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. - We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significance that the average amount of wireless data used by teenagers each month is less than 5 Gb. In this example, students will learn how to evaluate data, conduct hypothesis testing, and interpret possible outcomes based on statistical analysis.
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