SAT College

Apparent magazine reports that the average amount of wireless data used by teenagers each month is seven gigs bites for her science fair project Ellis that’s out to prove the magazine is wrong she claims that the Mina Monchhichi teenagers in her area is less than a report Ella collects information from a simple random sample for teenagers at her high school and calculate the mean of 5.8 GB per month with a standard deviation of 1.9 Gigamon bytes per month assume the population distribution is approximately normal test Ella’s claim at 0.005 level of significance State to null and alternative paths hypothesis for this test for this test

Answers

Answer 1

Ella's hypothesis is that the average wireless data usage of teenagers in her area is less than seven gigabytes per month, and she aims to test this using a one-sample t-test with a significance level of 0.005.

How to State a Null and Alternative Hypotheses?

Null hypothesis (H0): The average amount of wireless data used by teenagers in Ella's area is not less than seven gigabytes per month.

Alternative hypothesis (Ha): The average amount of wireless data used by teenagers in Ella's area is less than seven gigabytes per month.

Ella aims to test if the mean data usage in her sample provides evidence to reject the claim made by the magazine. She collects data from a simple random sample at her high school, where the sample mean is 5.8 GB per month and the standard deviation is 1.9 GB per month.

Assuming the population distribution is approximately normal, Ella will conduct a one-sample t-test at a 0.005 level of significance to determine if there is sufficient evidence to support her claim.

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