10. The standard deviation of the weights of elephants is known to be approximately 18 pounds. We wish to construct a 95

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10 The Standard Deviation Of The Weights Of Elephants Is Known To Be Approximately 18 Pounds We Wish To Construct A 95 1 (145.89 KiB) Viewed 139 times

10. The standard deviation of the weights of elephants is known to be approximately 18 pounds. We wish to construct a 95% confidence interval for the mean weight of newborn elephant calves. Sixty newborn elephants are weighed. The sample mean is 264 pounds. The sample standard deviation is 11 pounds. 1). Identify the following: a.x= b. o = c. n = 2) In other words, define the random variables X and X. 3). Which distribution should you use for this problem? 4). Construct a 95% confidence interval for the population mean weight of newborn elephants. State the confidence interval, sketch the graph, and calculate the error bound. 5). What will happen to the confidence interval obtained, if 20 newborn elephants are weighed instead of 60? Why? 11. Use t-distribution. One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of 151 hours each month with a standard deviation of 38 hours. Assume that the underlying population distribution is normal. 1). Identify the following: a. x b. sx = c. n = d. n - 1 = 2). Define the random variable X in words. 3). Define the random variable X in words. 4). Which distribution should you use for this problem? 5). Construct a 99% confidence interval for the population mean hours spent watching television per month. (a) State the confidence interval, (b) sketch the graph, and (c) calculate the error bound. 6). Why would the error bound change if the confidence level were lowered to 95%?