1). a general social survey asked "What do you think is the ideal number of children for a familyto have?" The 497 females who respondent had a median of 2, mean of 3.02, and a standard deviation of 1.81.

a. find and interprete the standard error of the sample mean

b. the 95% confidence intewrval is 2.9 and 3.2. interpret

c. it is plausible that the population mean =2.0? explain

2). find and interpret 95% confidence interval for maen. if the tetha =70 and the Standard deviation= 10. based on a sample size;

a.5

b.20

3). A survey of adults in the U.S was in favor of allowing gays and lesbians to marry legally. of the 363 consercutive republicians sampled 22% were favored wheraes of 278 liberals democrats 81% were favored. find the estimate standard errors for the sample proportion in favor. interpret

(4). an estimate is needed of the mean acreage of farms in Manita U.S.A. the estimate should be correct to within 100axres with the prpbability 0.95. A preliminary study suggests that 500 qacres is a reasonable guess for the standard deviation of farm size

(5). when the GSS most recently asked weather human being developed from earlier species of animal 53.8% of 1095 respondents answeared that this was probaly not true. find a 99% confidence interval for the corresponding population proportion and indicate weather you can conclude that a majority of American felt this way

(6). increasing the confidence level causes width of confidence interval to;

a. increase

b. decrease

c. remain the same

(7). other things being equal, quadrupling the sample sixe cause the width of the confidence interval to

a. double

b. halve

c. to be quarter as wide

d. to stay the same