A machine makes catheters for use in heart tests. The machine is designed so that the mean diameter of the catheter it makes can change but the standard deviation can't. The population standard deviation is .05 mm. Right now the machine is supposed to be making catheters with a mean diameter of 2 mm. During production an inspector checks the diameter of catheters to see if the machine has slipped out of the adjustment. A random sample of 50 catheters is taken. If the mean diameter for the sample is 2.04 mm, does this indicate the machine has slipped out of adjustment and the population average diameter of the catheter is no longer 2mm. The best test to use in this situation is a

Question 1: runners in the half marathon entered in three waves. there were 341 runners in the first wave, 295 runners in the second wave, and 316 runners in the third wave. if seven out of eight runners finished the race, how many did not finish? question 2: a flagpole casts a 20foot shadow at the same time lexi casts 5 foot shadow. if lexi is 5'9'', find the height of the flagpole. question 3: the barnes family has a coupon for 10% off their dinner. if their bill comes to $82.50 and they wish to tip 15% what will they pay in total? question 4. gas prices are typically marked up for holiday travel. if the price are marked up 17.5% and the regular price per gallon is $2.40, how much will mitch pay for 16 gallons of gas? question 5. a $1,349 television is on sale for 20% off. if sales tax is 8%, find the price of the television including tax? question 6. a sign above a basket of dvds reads 3 for $17. kellen decides to buy 6 dvds and use a coupon for 25% off. if sales tax is 6% what will he pay in total.