1.Data from the U.S. Department of Education indicates that 44% of business graduate students from private universities had student loans. Suppose you randomly survey a sample of graduate business students from private universities. Consider the sampling distribution (sample size n = 185) for the proportion of these students who have loans.

What is the mean of this distribution?(Enter your answer accurate to two decimal places.)

2.According to a 2009 Reader's Digest article, people throw away about 12% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 92 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.1?

Note: You should keep at least 4 decimal places for any intermediate calculations you make to match wamap's approach and calculations.

Answer =(Enter your answer as a number accurate to 4 decimal places.)

3.Based on historical data, your manager believes that 29% of the company's orders come from first-time customers. A random sample of 188 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.28?

Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.

Answer =(Enter your answer as a number accurate to 4 decimal places.)

What is the standard deviation of this sampling distribution (i.e., the standard error)?(Enter your answer accurate to three decimal places.)

4.According to a 2009 Reader's Digest article, people throw away approximately 14% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 57 grocery shoppers to investigate their behavior. What is the probability that the sample proportion exceeds 0.11?

Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations.

Answer =(Enter your answer as a number accurate to 4 decimal places.)

5.In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 185. What is the probability that the sample proportion will be at least 5 percentage points higher than the population proportion?

Note: You should carefully round any z-values you calculate to at least 4 decimal places to match wamap's approach and calculations.

Answer =(Enter your answer as a number accurate to 4 decimal places.)

6.Based on historical data, your manager believes that 45% of the company's orders come from first-time customers. A random sample of 81 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.2 and 0.34?

Note: You should carefully round any z-values you may calculate to 4 decimal places to match wamap's approach and calculations.

Answer =(Enter your answer as a number accurate to 4 decimal places.)