Question

second bullet point of 11 and 12

mead 13. The number of wins in a season for 16 randomly selected professional football teams are listed below. (Section 6.2) Note: Use the SPSS below. Number of Wins in a Season for Professional Football Teams 9 9 9 10 9 7 12 9 9 7 10 7 7 stes 1.153.1.100 -0.731 Wins One-Sample Statistics N Mean Std Deviation Std. Error Mean 16 8.38 1.668 Jice 417 8.38 + 0.73= One-Sample Test Test Value = 0 7.65Luza, all 90% Confidence interval of the Difference df Sig (2-tailed) Mean Difference Lower Upper 20 080 1 5 .000 8 375 7. 649 .11 Construct a 90% confidence interval for the population mean. Margin of error, E.ON 13 Confidence interval:___ 7.65 91 Can we assume that if a large number of professional football teams are sampled, 95% of the samples would have an average number of wins per season equal to 8 Why? Wins 14. A manufacturer receives an order for fluorescent light bulbs. The order requires that the bulbs have a mean life span of 850 hours. The manufacturer selects a random sample of 3 fluorescent light bulbs and finds that they have a mean life span of 845 hours with a sam standard deviation of 15 hours. Test to see if the manufacturer is making acceptable light bulbs. S Use a 95% confidence level. (Section 6.2) • Construct a 95% confidence interval for the population mean. Syronfidence Interval: <us 855.47

Answer 1

13. Yes, we can assume that if a large number of professional football teams are sampled, the samples could have an average number of wins per season equal to 8 because the 90% confidence interval (7,65, 9.11) contains the value of 8 and hence the 95% CI will also will contain the value of 8 (as 95% CI will be wider)

14. We can't assume that if a large number of parking meters are sampled, 90% of the samples would contain a mean daily income of 3.25 as the 95% CI (3.39, 6.01) does not contain the value of 3.25 (90% CI will be smaller and it definitely won't have the value of 3.25)