Suppose a random sample of n measurements is selected from a binomial population with probability of success p = 0.14. For each of the following values of n, give the mean and standard deviation of the sampling distribution of the sample proportion, p. A a. n = 4000 b. n = 1000 c. n = 250 ... a. The mean is. (Type an integer or a decimal. Do not round.) The standard deviation is. (Round to four decimal places as needed.) b. The mean is. (Type an integer or a decimal. Do not round.) The standard deviation is. (Round to four decimal places as needed.) c. The mean is. (Type an integer or a decimal. Do not round.) The standard deviation is (Round to four decimal places as needed.)

The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 57 minutes. c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes

The degrees of freedom used when testing two independent samples where the population standard deviation is unknown is Group of answer choices a.n1 + n2 - 2. b.the smaller of n1 - 1 or n2 - 1. c.n1 + n2 - 1. d.the larger of n1 - 1 or n2 - 1.

A simple random sample of size n is drawn. The sample mean, &, is found to be 17.7, and the sample standard deviation, s, is found to be 4.3. Click the icon to view the table of areas under the t-distribution.