Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for how small commuter airlines must estimate passenger weights. Under the old rule, airlines used 180 pounds as a typical passenger weight (including carry-on luggage) in warm months and 185 pounds as a typical weight in cold months. A journal reported that an airline conducted a study to estimate average passenger plus carry-on weights. They found an average summer weight of 183 pounds and a winter average of 190 pounds. Suppose that each of these estimates was based on a random sample of 100 passengers and that the sample standard deviations were 16 pounds for the summer weights and 22 pounds for the winter weights. A USE SALT (a) Construct a 95% confidence interval for the mean summer weight (including carry-on luggage) of this airline's passengers. (Use technology to calculate the critical value. Round your answers to three decimal places.) (O.O Interpret a 95% confidence interval for the mean summer weight (including carry-on luggage) of this airline's passengers. O we are 95% confident that the true mean summer weight (including carry-on luggage) of this airline's passengers is directly in the middle these two values. O There is a 95% chance that the true mean summer weight (including carry-on luggage) of this airline's passengers is directly in the middle of these two values. O There is a 95% chance that the true mean summer weight (including carry-on luggage) of this airline's passengers is between these two values. O we are 95% confident that the true mean summer weight (including carry-on luggage) of this airline's passengers is between these two values. O There is a 95% chance that the true mean summer weight (including carry-on luggage) of this airline's passengers is one of these two values. (b) Construct a 95% confidence interval for the mean winter weight (including carry-on luggage) of this airline's passengers. (Use technology to calculate the critical value. Round your answers to three decimal places.) Interpret a 95% confidence interval for the mean winter weight (including carry-on luggage) of this airline's passengers. O There is a 95% chance that the true mean winter weight (including carry-on luggage) of this airline's passengers is between these two values. O we are 95% confident that the true mean winter weight (including carry-on luggage) of this airline's passengers is directly in the middle O we are 95% confident that the true mean winter weight (including carry-on luggage) of this airline's passengers is between these two values. O There is a 95% chance that the true mean winter weight (including carry-on luggage) of this airline's passengers is one of these two values. these two values. O There is a 95% chance that the true mean winter weight (including carry-on luggage) of this airline's passengers is directly in the middle of these two values. (c) The new FAA recommendations are 190 pounds for summer and 195 pounds for winter. Comment on these recommendations in light of the confidence interval estimates from part (a) and part (b). O Only the new summer FAA recommendation seems accurate, since only the new summer recommendation value is contained within its 95% confidence interval. O Only the new winter FAA recommendation seems accurate, since only the new winter recommendation value is contained within its 95% confidence interval. O These new FAA recommendations seem accurate, since both recommendation values are contained within their respective 95% confidence interval. O These new FAA recommendations don't seem accurate, since neither recommendation value contained within respective 95% confidence interval.

A certain county had a population of 34,485 people. The county hospital is interested in estimating the number of people in the county with blood type-O. To do this, they test blood samples from 228 patients. Out of this group, 10 have blood type-O. Use this sample to estimate the number of people in the county with blood type-O.

Researchers have postulated that, due to differences in diet, Japanese children have a lower proportion of children with high blood cholesterol levels than U.S. children. Suppose that the proportion of high blood cholesterol level of U.S. children is known to be 0.78. Ho: ??:

An editorial in The New York Times on Sunday, June 4, 2011 discussed the redesigned fuel economy stickers to be required on new cars starting in 2013. Consider a new midsize Ford Fusion S model. At $4-a-gallon gas, annual fuel costs would be about $2,200 for 15,000 miles driven. ... And that’s for a car with a rated mileage of 34.9 m.p.g. (actual highway mileage, as with all vehicles, is lower, in this case about 27 m.p.g.). Industry clearly needs to do better. Did the Times use the rated or the actual mileage in its computation?   In Canada, some multi-lane highways have a speed limit of 110 km/hour.  Convert this speed to miles per hour, so you'll know how fast you may drive in Canada.

Do you think the results of the study might be applicable to the whole population? Why or why not?

Name the forecasting methods

State the estimated coefficient for time and its interpretation. Also, state what the coefficient of determination is and its interpretation.

How would you answer this?

The authors of a paper were interested in how the distance a deer mouse will travel for food is related to the distance from the food to the nearest pile of debris. Distances were measured in meters. The data and computer output are given below. Distance from Debris Distance Traveled 6.94 0.00 5.23 6.13 5.21 11.29 7.10 14.35 8.16 12.03 5.50 22.72 9.19 20.11 9.05 26.16 9.36 30.65 Simple Linear Regression Results:  Dependent Variable: Traveled Independent Variable: Debris Sample size: 9 R (correlation coefficient) = 0.5657 R-sq = 0.32002088 Estimate of error standard deviation 8.670711 Parameter estimates:  Parameter Estimate Std. Err.  Alternative DF T-Stat P-Value Intercept -7.6854587 13.332196 ≠ 0 7 -0.5764586 0.5824 Slope 3.2340908 1.7818117 ≠ 0 7 1.8150575 0.1124 a)What is the least squares regression line for the output given above? b) what is the predicted traveled distance given the distance from debris is 6.5 meters?

A hospital report indicates 25% of its patients had an MRI in January. If 1,060 patients were hospitalized in January, how many had an MRI?