Q. 3.1 The content of liquid detergent bottles is being analyzed. Twelve bottles, randomly selected from the process, are measured, and the results are as follows (in fluid ounces): 16.05, 16.03, 16.02, 16.04, 16.05, 16.01, 16.02, 16.02, 16.03, 16.01, 16.00, 16.07.

a. Calculate the sample average

b. Calculate the same deviation

Q.3 .6 From 3.5 data: 953, 955, 948, 951, 957, 949, 954, 950, 959. Calculate:

1. Sample median
2. How much largest temperature could increase without changing the mean?

Q. 3.8 The time to failure in hours of an electronic component subjected to an accelerated life test is shown in Table 3E.1. To accelerate the failure test, the units were tested at an elevated temperature (read down, then across).

Electronic component failure time

127	124	121	118
125	123	136	131
131	120	140	125
124	119	137	133
129	128	125	141
121	133	124	125
142	137	128	140
151	124	129	131
160	142	130	129
125	123	122	126

From Data, calculate:

1. Sample average and Std deviation
2. Construct a Histogram
3. Construct a stem and leaf diagram
4. Find the sample median and the lower and upper quartiles.

Q. 3.25 From Data in 3.1, Calculate a box plot .

Data: 16.05, 16.03,16.02,16.04,16.05,16.01,16.02,16.02,16.03,16.01,16.00,16.07

Q. 3.51 The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35 pounds tensile strength? How many would have a tensile strength in excess of 48 pounds?