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One feature smartphone manufacturers use in advertising is the amount of time one can talk before recharging the battery. Below are 13 values from a
One feature smartphone manufacturers use in advertising is the amount of time one can talk before recharging the battery. Below are 13 values from a random sample of the talk-time (in minutes) of smartphones running on lithium-ion batteries. The summary statistics are x = 550.92, s = 214.77, Q1 = 416, Median = 455, Q3 = 680. Complete parts a through d below. 322 368 782 586 1000 858 368 495 416 416 680 416 455 O D. The population distribution is not approximately uniform because there are more lower talk times than higher talk times. b. Check whether this data set has any potential outliers according to the criterion of (i) 1.5 . IQR below Q1 or about Q3 and (ii) 3 standard deviations from the mean. (i) Choose the correct answer below. A. There are no potential outliers because all observations lie between (Q1 - 1.5 . IQR) and (Q3 + 1.5 . IQR). O B. There are potential outliers because there is at least one observation below (Q1 - 1.5 . IQR). C. There are potential outliers because there are observations below (Q1 - 1.5 . IQR) and above (Q3 + 1.5 . IQR). O D. There are potential outliers because there is at least one observation above (Q3 + 1.5 . IQR). (ii) Do all observations lie within 3 standard deviations of the mean? O No Yes c. Determine the 95% confidence interval for the population mean u. The lower limit is 421.12 . The upper limit is 680.72. (Round to two decimal places as needed.) Interpret this confidence interval. O A. We can be 95% confident that a given talk time will be within the confidence interval. B. We can be 95% confident that the mean population talk time is within the confidence interval. O C. We can be 95% confident that all talk times are within the confidence interval. O D. Ninety-five percent of talk times fall within the confidence interval. d. The value 1000 is quite a bit larger than the others. Deleting this observation, find the mean and standard deviation, and construct the 95% confidence interval for p. x= (Round to two decimal places as needed.)
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