Assignment 3: Ch 5 Fundamentals of statistics

Note: Use Minitab to solve the following problems

1. Acompanythatfillsbottlesofshampootriestomaintainaspecificweightofthe product. Thetablegivestheweightof110 bottlesthatwerecheckedatrandomintervals.
2. Makeatallyoftheseweightsandconstructa frequencyhistogram.(Weightisin kilograms.)
3. A relative frequency histogram
4. A cumulative frequency histogram
5. A relative cumulative frequency histogram

6	5.98	6.01	6.01	5.97	5.99	5.98	6.01	5.99	5.98	5.96
5.98	5.99	5.99	6.03	5.99	6.01	5.98	5.99	5.97	6.01	5.98
5.97	6.01	6	5.96	6	5.97	5.95	5.99	5.99	6.01	6
6.01	6.03	6.01	5.99	5.99	6.02	6	5.98	6.01	5.98	5.99
6	5.98	6.05	6	6	5.98	5.99	6	5.97	6	6
6	5.98	6	5.94	5.99	6.02	6	5.98	6.02	6.01	6
5.97	6.01	6.04	6.02	6.01	5.97	5.99	6.02	5.99	6.02	5.99
6.02	5.99	6.01	5.98	5.99	6	6.02	5.99	6.02	5.95	6.02
5.96	5.99	6	6	6.01	5.99	5.96	6.01	6	6.01	5.98
6	5.99	5.98	5.99	6.03	5.99	6.02	5.98	6.02	6.02	5.97

1. Tests of noise ratings at prescribed locations throughout a large stamping mill are given in the following frequency distribution. Noise is measured in decibels. Determine the average.

Cell Midpoint	Frequency
148	2
139	3
130	8
121	11
112	27
103	35
94	43
85	33
76	20
67	12
58	6
49	4
40	2

1. Destructive tests on the life of an electronic component were conducted on 2 different occasions. On the first occasion, 3 tests had a mean of 3320 h; on the second occasion, 2 tests had a mean of 3180 h. What is the weighted average?

1. Determine the median of the following numbers.

a. 22, 11, 15, 8, 18

b. 35, 28, 33, 38, 43, 36

1. Given the following series of numbers, determine the mode

a. 50, 45,55, 55, 45, 50, 55, 45 55

b. 89, 87, 88, 83, 86, 82, 84

1. Frequency tests of a brass rod 145 cm long give values of 1200, 1190, 1205, 1185, and 1200 vibrations per second. What is the sample standard deviation?

1. The frequency distribution given here shows the percent of organic sulfur in Illinois No. 5 coal. Determine the average and sample standard deviation.

Cell Midpoint (%)	Frequency (Number of Samples)
0.5	1
0.8	16
1.1	12
1.4	10
1.7	12
2	18
2.3	16
2.6	3

1. Determine the skewness, kurtosis, and coefficient of variation of exercise 1.

1. The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a power supply selected at random will conform to the specifications on voltage?

1. A utility company will not use coal with a sulfur content of more than 2.25%. based on the histogram of exercise 7, what percent coal is in that category?

1. A supplier received results on the hardness of metal from two different hardening process (1) salt-water quenching and (2) oil quenching. Does the assumption of normality seem appropriate for this data (for Salt quench and oil quech)? What can you conclude?

Salt Quench		Oil Quench
145		152
150		150
153		147
148		155
141		140
152		146
146		158
154		152
139		151
148		143