1. A market research analyst believes that the average weekly household expenditure on groceries in Quant City is $125. A random sample of 25 Quant City households yielded a mean of $133 and a standard deviation of $22. Assume that weekly household expenditures on groceries in Quant City are normally distributed. What is the conclusion of testing the analyst's belief at the .05 level of significance? 2. According to a newspaper report, the average monthly rent for one-bedroom apartments in Quant City is at least $790. A local realtor suspects that the report overstated the average monthly rent. She took a random sample of 50 one-bedroom apartments and recorded an average monthly rent of $825 with a population standard deviation of $120. What is the conclusion for testing, at the .10 level of significance, if the report overstated the average monthly rent? 3. According to a recent report, the average starting salary for new Marketing graduates is no more than $41,000. The Placement Director at Super State University suspects that the report understated the average starting salary for Marketing graduates. She picked a random sample of 100 recent Marketing graduates and computed a mean starting salary of $42,575 with a population standard deviation of $5,900. What is the conclusion of testing, at the .01 level of significance, whether the report understated the average starting salary for Marketing graduates? 4. The Department of Economic and Community Development (DECD) reported that in 2009 the average number of new jobs created per county was 450. The department also provided the following information regarding a sample of 5 counties in 2010. County New Jobs Created In 2010 Bradley 410 Rhea 480 Marion 407 Grundy 428 Sequatchie 400 a. Compute the sample average and the standard deviation for 2010. b. We want to determine whether there has been a significant decrease in the average number of jobs created. Provide the null and the alternative hypotheses. c. Compute the test statistic. d. Compute the p-value; and at 95% confidence, test the hypotheses. Assume the population is normally distributed. 5. The Bureau of Labor Statistics reported that the average yearly income of dentists in the year 2009 was $110,000. A sample of 81 dentists, which was taken in 2010, showed an average yearly income of $120,000. Assume the standard deviation of the population of dentists in 2010 is $36,000. a. We want to test to determine if there has been a significant increase in the average yearly income of dentists. Provide the null and the alternative hypotheses. b. Compute the test statistic. c. Determine the p-value; and at 95% confidence, test the hypotheses