Digital cameras have taken over the majority of the point-and-shoot camera market. One of the important features of a camera is the battery life, as measured by the number of shots taken until the battery needs to be recharged. A random sample of 29 sub-compact cameras (Population 1) yielded a mean of 127 shots between recharges, with a standard deviation of 5.5 shots. A random sample of 16 compact cameras (Population 2) yielded a mean of 115 shots between recharges, with a standard deviation of 4.2 shots. Assume that the population variances are not equal.
What is the appropriate null hypothesis for determining whether the mean battery life for sub-compact cameras is greater than the mean life of compact cameras?
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