Media observers have been examining the number of minutes devoted to business and financial news during the half-hour evening news broadcasts of two local television channels. For each channel, they have randomly selected 10 weekday broadcasts and observed the number of minutes spent on business and financial news during that broadcast. The times measured in these independent samples are shown here. Assuming normal populations with equal standard deviations, use the 0.10 level of significance in testing whether the population means might actually be the same. Using the appropriate 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