54. Perform the following calculations and report each answer with the correct number of significant figures. (a) 62.8 x 34= 2.1 x 10^3 (b) 0.147 + 0.0066 + 0.012 (c) 38 x 95 x 1.792 (d) 15 - 0.15 - 0.6155 (e) 8.78 x (0.0500/0.478) (f) 140 + 7.68 + 0.014 (g) 28.7 -0.0483 (h) (88.5- 87.57)/45.13
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![54. Perform the following calculations and report each answer with the correct number of
significant figures.
(a) 62.8 x 34= 2.1 x 10^3
(b) 0.147 + 0.0066 +0.012
(c) 38 x 95 x 1.792
(d) 15 -0.15 -0.6155
(e) 8.78 x (0.0500/0.478)
(f) 140 + 7.68 +0.014
(g) 28.7 -0.0483
(h) (88.5 - 87.57)/45.13
57. Write conversion factors (as ratios) for the number of:
(a) yards in 1 meter
(b) liters in 1 liquid quart
(c) pounds in 1 kilogram
62. A woman's basketball has a circumference between 28.5 and 29.0 inches and a maximum
weight of 20 ounces (two significant figures). What are these specifications in units of
centimeters and grams?
63. How many milliliters of a soft drink are contained in a 12.0-oz can?
64. A barrel of oil is exactly 42 gal. How many liters of oil are in a barrel?
65. The diameter of a red blood cell is about 3 x 10-4 in. What is its diameter in centimeters?
66. The distance between the centers of the two oxygen atoms in an oxygen molecule is 1.21
x 10 -8 cm. What is this distance in inches?
67. Is a 197-lb weight lifter light enough to compete in a class limited to those weighing 90 kg
or less?
72. Complete the following conversions between Sl units.
(a) 612g= mg
(b) 8.160 m= cm
(c) 3779 ug= g
(d) 781 ml=
(e) 4.18 kg=
(f) 27.8 m=
(g) 0.13 mL=
(h) 1738 km=
(1) 1.9 Gg=
77. Make the conversion indicated in each of the following:
(a) the length of a soccer field, 120 m (three significant figures), to feet
(b) the height of Mt. Kilimanjaro, at 19,565 ft, the highest mountain in Africa, to kilometers
(c) the area of an 8.5- x 11-inch sheet of paper in cm2
(d) the displacement volume of an automobile engine, 161 in.3, to liters
(e) the estimated mass of the atmosphere, 5.6 x 10 15 tons, to kilograms
(f) the mass of a bushel of rye, 32.0 lb, to kilograms
(g) the mass of a 5.00-grain aspirin tablet to milligrams (1 grain = 0.00229 oz)
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