According to a research study, American teenagers watched 14.8 hours of television per week last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per week each teenager watched television 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 test at the 5% significance level, to test if the mean amount of time American teenagers watch television per week is greater than the mean amount of time last year. (a) H0:μ=14.8; Ha:μ>14.8, which is a right-tailed test. (b) t0=1.06 (c) t0.05=1.812 (d) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply. Select all that apply: We should reject H0. We should not reject H0. At the 5% significance level, the data provide sufficient evidence to conclude that the amount of time American teenagers watch television per week is more than 14.8 hours. At the 5% significance level, the data do not provide sufficient evidence to conclude that the amount of time American teenagers watch television per week is more than 14.8 hours.
According to a research study, American teenagers watched 14.8 hours of television per week last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per week each teenager watched television was 15.6. This data has a sample standard deviation of 2.5. (Assume that the scores are
Researchers conduct a one-mean hypothesis test at the 5% significance level, to test if the mean amount of time American teenagers watch television per week is greater than the mean amount of time last year.
(a) H0:μ=14.8; Ha:μ>14.8, which is a right-tailed test.
(b) t0=1.06
(c) t0.05=1.812
(d) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply.
Select all that apply:
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We should reject H0.
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We should not reject H0.
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At the 5% significance level, the data provide sufficient evidence to conclude that the amount of time American teenagers watch television per week is more than 14.8 hours.
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At the 5% significance level, the data do not provide sufficient evidence to conclude that the amount of time American teenagers watch television per week is more than 14.8 hours.
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