Reference no: EM132160602
A sociologist claims that children spent more time watching television in 1981than children do today. A study was conducted in 1981 to find the time that children watched television on weekdays. Recently, a similar study was conducted. The results of these studies (in hours per weekday) are shown below. Assume the population standard deviation is 0.7 for 1981 and 0.7 for today. At a= 0.05, can you support the sociologist's claim? Complete parts (a) through (d) below.
1981: 2.9, 2.8, 3.2, 2.4, 2.5, 1.3, 2.1, 1.9, 2.9, 3.2, 1.1, 3.4, 3.5, 1.7, 1.7
2.4, 3.3, 1.5, 1.2, 3.3, 3.2, 1.9, 3.3, 2.5, 2.8, 1.8, 1.6, 1.8, 1.8, 2.2
Recently: 2.3, 1.6, 1.8, 2.1, 2.9, 2.4, 1.4, 1.2, 2.7, 3.2, 2.2, 2.5, 2.5, 2.7, 3.1
2.4, 0.9, 2.5, 3.3, 2.7, 0.9, 2.1, 2.2, 2.6, 1.6, 2.7, 1.2, 2.6, 1.4, 2.1
(a) Identify the claim and state H0 and Ha.
What is the claim?
Let the data from 1981 be sample 1 and let the recent data be sample 2. Identify Ho and Ha.
Ho: μ1 [ ] μ2
Ha: μ1 [ ] μ2
(b) Find the critical value(s) and identify the rejection region.
(c) Find the standardized test statistic z.
(d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.