The population mean and standard deviation are given below. Find the required probability and determine whether given sample mean would be considered unusual. For a sample of n=65, find the probability of a sample mean being greater than 222 if =221 and =3.5. For a sample of n=65, the probability of a sample mean being greater than 222 if =221 and =3.5 is 0.0107 . (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean be considered unusual because it within the range of a usual event, namely within of the mean of the sample means. Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $235 and a standard deviation of $62. Random samples of size 33 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is Determine whether the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 110 eruptions of the Old Faithful geyser at Yellowstone National Park, the mean interval between eruptions was 129.57 minutes and the standard deviation was 108.53 minutes. A random sample of size 35 is selected from this population. What is the probability that the mean interval between eruptions is between 119 minutes and 139 minutes? The probability that the mean interval between eruptions is between 119 minutes and 139 minutes is (Round to four decimal places as needed.)