Q1) Manager of two resort properties was interested in any important difference in willingness of guests to return to two properties. A sample of 227 guests at "The Beachcomber" resulted in 163 who said that they would select that property again. Sample of 262 guests at "The Windsurfer" resulted in 154 who said they would select that property again. Using 5% level of significance, is there any difference in proportion of guests who would select two resorts? What is your conclusion?
Q2) Manager at light bulb factory wishes to find out whether there is any difference in mean life expectancy of bulbs manufactured on two various kinds of machines. Population standard deviation of machine I is 100 hours and of machine II is 115 hours. Random sample of 30 light bulbs from machine I points out sample mean of 375 hours, and similar sample of 30 from machine II points out sample mean of 362 hours. At 5% level of significance, is there evidence of difference in mean life of bulbs produced by the two kinds of machines. What is your conclusion?