A parenting magazine reports that the average amount of wireless data used by teenagers each month is 8 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 16 teenagers at her high school, and calculates a mean of 7.1 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 0.01 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. m Tables Кeyрad Answer Keyboard Shortcuts 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 O each month is less than 8 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 8 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 8 Gb. 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 8 Gb.

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A parenting magazine reports that the average amount of wireless data used by teenagers each month is 8 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 16 teenagers at her high school and calculates a mean of 7.1 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 0.01 level of significance.

**Step 3 of 3**: Draw a conclusion and interpret the decision.

---

### Answer Options:

- 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 8 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 8 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 8 Gb.

- 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 8 Gb.
Transcribed Image Text:### Context: A parenting magazine reports that the average amount of wireless data used by teenagers each month is 8 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 16 teenagers at her high school and calculates a mean of 7.1 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 0.01 level of significance. **Step 3 of 3**: Draw a conclusion and interpret the decision. --- ### Answer Options: - 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 8 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 8 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 8 Gb. - 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 8 Gb.
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