How long will the battery on your iPad last while watching movies? The following data represent battery life (in hours) for a random sample of 10 full charges : 7.3 10.2 7.9 10.8 11.0 6.6 10.2 9 8.5 7.1 The following Excel output was obtained. Construct a 95% confidence interval for the mean number of hours the batteries will last in the player. hours Mean 8.86 Standard Error 0.513 Median 8.75 Mode 10.2 Standard Deviation 1.621 Sample Variance 2.627 Kurtosis -1.681 Skewness 0.006 Range 4.4 Minimum 6.6 Maximum 11 Sum 88.6 Count 10 Confidence 1.1595 Level(95.0%)
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The following data represent the battery life, in hours, for a random sample of 10 full charges on a fifth-generation iPod music player. 7.3 10.2 12.9 10.8 12.1 6.6 10.2 9.0 8.5 7.1 What is the average battery life of this random sample of 10 full charges? Construct a 95% confidence interval for the mean number of hours the battery will last on this player. What is the margin of error for the battery life of the 10 full charges? What condition did you have to assume for your calculations? Suppose you wanted more accuracy to estimate the mean number of hours the battery will last on this player. How many more trials of full charges should be added to the sample above to be 95% sure that the sample mean is within half an hour of the population mean battery life?
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In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of 10.25 hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours. 1. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?
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