Answer these questions in order

QUESTION 1 Suppose a random sample of 64 men has a mean foot length of 27.5 cm with a standard deviation of 2 cm. Construct a 95% confidence interval for the mean of the population. o a. 25.5 s / $ 29.5 o b. 27 s # $ 28 O C. 26.125 s A $ 28.875 o d. 27.25 gp $ 27.75 QUESTION 2 A sample of 100 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. Construct a 95% confidence interval for the mean of the population. o a. 13.3 sA $ 14.7 O b. 13.89 SP E 14.07 O c. 13.88 sp 5 14.14 o d. None of the above QUESTION 3 A random sample of size 175 is drawn from a large population. The population standard deviation is 13.6. The sample mean is 87.3. Estimate the size of the population mean, including margin of error. o a. 87.3+4.37 o b. 87.3+13.6 O C 87.3+1.03 o d. 87.3+2.06QUESTION 4 In a Gallup Youth Survey done in 2000, 501 randomly selected American teenagers were asked about how well they get along with their parents. A survey result was that 270 teenagers in the sample said they get along "very well" with their parents. Use this to estimate the proportion of the population who would say they get along "very well" with their parents, including a margin of error. O a. 53.9% +2.22% O b. 53.9% +4.45% O C. 53.9% #2.7% O d. None of these QUESTION S Suppose a new cancer treatment is given to a sample of 300 patients. The treatment was successful for 210 of the patients. Assume that these patients are representative of the population of individuals who have this cancer. Estimate the proportion of the population for whom the treatment would be successful, including a margin of error. o a. 70%: #5.3% o b. 70% + 2.65% O C 70% #3.5% o d. None of these QUESTION 6 Members of a rugby league are thinking about adding a new franchise in Silvergrove. They hired a polling firm to help gauge Silvergrove residents" interest in rugby. The firm contacted 475 randomly chosen Silvergrove residents and asked them whether they had ever attended a rugby match. If 434 respondents had never attended a rugby match, estimate (including a margin of error) the proportion of the population of Silvergrove that never attended a rugby match. a. 91.4% #1.3% ob. 91.4% #2.6% OC. 91.4%+4.6% o d. None of these