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Mathematics, 25.03.2020 06:40 makailaaa2

According to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5. (Assume that the scores are normally distributed.) Researchers conduct a one-mean hypothesis at the 5% significance level to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year. The null and alternative hypotheses are H0:μ=14.8; Ha:μ>14.8, which is a right-tailed test. Determine the test statistic, rounded to two decimal places.

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