A parenting magazine reports that the average amount of wireless data used by teenagers each month is 10 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 4 teenagers at her high school, and calculates a mean of 8.4 Gb per month with a standard deviation of 2.2 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.05 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. Answer Tables Keypad Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers each month is less than 10 Gb. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers each month is less than 10 Gb. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers each month is less than 10 Gb. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers each month is less than 10 Gb.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A parenting magazine reports that the average amount of wireless data used by teenagers each month is 10 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 4 teenagers at
her high school, and calculates a mean of 8.4 Gb per month with a standard deviation of 2.2 Gb per month. Assume that the population distribution is approximately
normal. Test Ella's claim at the 0.05 level of significance.
Step 3 of 3: Draw a conclusion and interpret the decision.
Answer
Tables
Keypad
Keyboard Shortcuts
We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers
each month is less than 10 Gb.
We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers
each month is less than 10 Gb.
We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the average amount of wireless data used by
teenagers each month is less than 10 Gb.
We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the average amount of wireless data used by
teenagers each month is less than 10 Gb.
Transcribed Image Text:A parenting magazine reports that the average amount of wireless data used by teenagers each month is 10 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 4 teenagers at her high school, and calculates a mean of 8.4 Gb per month with a standard deviation of 2.2 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.05 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. Answer Tables Keypad Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers each month is less than 10 Gb. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers each month is less than 10 Gb. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers each month is less than 10 Gb. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers each month is less than 10 Gb.
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