# Question: Suppose x equals the number of heads observed when a

Suppose x equals the number of heads observed when a single coin is tossed; that is, x = 0 or x = 1. The population corresponding to x is the set of 0’s and 1’s generated when the coin is tossed repeatedly a large number of times. Suppose we select n = 2 observations from this population. (That is, we toss the coin twice and observe two values of x.)

a. List the three different samples (combinations of 0’s and 1’s) that could be obtained.

b. Calculate the value of x-bar for each of the samples.

c. List the values that x-bar can assume, and find the probabilities of observing these values.

d. Construct a graph of the sampling distribution of x-bar.

a. List the three different samples (combinations of 0’s and 1’s) that could be obtained.

b. Calculate the value of x-bar for each of the samples.

c. List the values that x-bar can assume, and find the probabilities of observing these values.

d. Construct a graph of the sampling distribution of x-bar.

**View Solution:**## Answer to relevant Questions

According to a Natimal Business Travel Association (NBTA) 2008 survey, the average salary of a travel management professional is $97,300. Assume that the standard deviation of such salaries is $30,000. Consider a random ...Over the past 20 years, the Journal of Abnormal Psychology has published numerous studies on the relationship between juvenile delinquency and poor verbal abilities. Assume that scores on a verbal IQ test have a population ...The mean and standard deviation of a random sample of n measurements are equal to 33.9 and 3.3, respectively. a. Find a 95% confidence interval for µ if n = 100. b. Find a 95% confidence interval for µ if n = 400. c. Find ...Suppose you have selected a random sample of n = 7 measurements from a normal distribution. Compare the standard normal z-values with the corresponding (z-values if you were forming the following confidence intervals: a. 80% ...If p is near 0 or 1, how large a sample is needed to employ the large-sample confidence interval procedure?Post your question