1.- Certain media observers have examined the number of minutes spent on business and financial news during the evening news on two local television channels. For each channel, they randomly selected 10 weekly broadcasts and looked at the number of minutes spent on financial business news during the broadcast. Times measured on these independent samples appear below. If they are normal populations with equal standard deviations, use a significance level of 0.10 to test whether the population means can actually be equal. With the proper statistical table, what is the most accurate statement we can make about the p-value for the test? Construct and interpret the 90% confidence interval for the difference between the population means.

Channel 2: 3.8, 2.7, 4.9, 3.4, 3.7, 4.5, 4.2, 2.8, 3.5, 4.6 minutes Channel 4: 3.6, 4.0, 4.5, 5.2, 4.8, 4.3, 5.7, 3.5, 3.7, 5.8 minutes

2.- In a test of the efficacy of a new drum design, the old design or the new version were randomly installed in 16 drum-driven musical boxes. The following shows the play time before the batteries were depleted:

8 boxes new battery type: 3.3, 6.4, 3.9, 5.4, 5.1, 4.6, 4.9, 7.2 hours 8 boxes old battery type: 4.2, 2.9, 4.5, 4.9, 5.0, 5.1, 3.2, 4.0 hours

Assuming the populations are normal and have equal standard deviations, use a level of 0.05 to determine if the new battery may be better than the old design. With the proper statistical table, what is the most accurate statement we can make about the p-value for the test?