25 - 23 Use the following information To estimate the accuracy of a laboratory scale, a weight known to have a mass of l grams is weighed 32 times. The reading of the scale is recorded each time. The mean weight from the 32 readings was 101.35 grams with a standard deviation of 1.5 grams. 25. If we assume the value of or = 2.5. construct a 9595 ondenoe Interval for the mean weight with a known population standard deviation. a. [1] Which distribution should be used for this problem? [circle the correct answer] Nomai Distribution tvDistritIation b. [3] First do your calculations "by hand" by using the formula, showing all work, and giving your interval in both point-alb'mato 1 E53! as well as interval notation. c. [1] How verify your results by running the proper "test\" in your calculator: 2?. If we treat the population standard deviation as unknown] nd a 35% {Iondence Interval using the value of s as an estimate for o. a. [1] Which distribution should be used for this problem? [circle the correct answer] Nonnai Distribution t-Dilh'itlutian b. [3] First do your calculations "by handy\" by using the formula. showing all work, and giving your interval in both poott-oltimata 1 EB\" as well as intarvai notation. c. [1] How verify your results by running the proper "test\" in your calculator: 23. [3] Now back to the problem at hand . . . the accuracy of the laboratory scale. Do either of the intervals you constructed contain the l gram mass we would expect if the scale is calibrated co rrectly? Would you recommend the scale be recalibrated? Support your