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Over [174]
3 years ago
14

Other than familiarity, what are the advantages of the english system of measurement?

Mathematics
1 answer:
vodomira [7]3 years ago
6 0

It is a system of weights and measures that evolved over time and was once the de facto standard throughout much of the world. The best definition of this system comes with the British Weights and Measures Act of 1824.

You probably know that the English system of measurements holds few advantages. So why hasn't the U.S. converted? The primary advantage to hanging on to the English system is cost of conversion. For example, in 2009, NASA stated that the conversion of the space shuttle program to SI would cost $370 million. This was a price tag for which NASA simply did not have the funds. In another example, when Great Britain began to process for metrification in the 1990s, the estimated cost for changing all of its road signs was the equivalent of between $1.5 and $1.8 billion.

<span>The second advantage of continuing with the English system is customary usage. For example, distances in football and baseball are closely linked to feet and yards, and decades of records are kept in these units. Cooking is another area where customary units in the U.S. are quarts, cups, ounces, pounds, etc. Finally, our culture is filled with sayings, such as, 'Give him an inch and he'll take a mile.' It just isn't the same to say, 'Give him 2.54 centimeters and he'll take 1.61 kilometers.'</span>

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In a study of the relationship of the shape of a tablet to its dissolution time, 6 disk-shaped ibuprofen tablets and 8 oval-shap
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Answer:

Step-by-step explanation:

This is a test of 2 independent groups. Let μ1 be the mean dissolution time for disk-shaped ibuprofen tablets and μ2 be the mean dissolution time for oval-shaped ibuprofen tablets.

The random variable is μ1 - μ2 = difference in the mean dissolution time for disk-shaped ibuprofen tablets and the mean dissolution time for oval-shaped ibuprofen tablets.

We would set up the hypothesis.

a) The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

For disk shaped,

Mean, x1 = (269.0 + 249.3 + 255.2 + 252.7 + 247.0 + 261.6)/6 = 255.8

Standard deviation = √(summation(x - mean)²/n

n1 = 6

Summation(x - mean)² = (269 - 255.8)^2 + (249.3 - 255.8)^2 + (255.2 - 255.8)^2+ (252.7 - 255.8)^2 + (247 - 255.8)^2 + (261.6 - 255.8)^2 = 337.54

Standard deviation, s1 = √(337.54/6) = 7.5

For oval shaped,

Mean, x2 = (268.8 + 260 + 273.5 + 253.9 + 278.5 + 289.4 + 261.6 + 280.2)/8 = 270.7375

n2 = 8

Summation(x - mean)² = (268.8 - 270.7375)^2 + (260 - 270.7375)^2 + (273.5 - 270.7375)^2+ (253.9 - 270.7375)^2 + (278.5 - 270.7375)^2 + (289.4 - 270.7375)^2 + (261.6 - 270.7375)^2 + (280.2 - 270.7375)^2 = 991.75875

Standard deviation, s2 = √(991.75875/8) = 11.1

b) Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

Therefore,

t = (255.8 - 270.7375)/√(7.5²/6 + 11.1²/8)

t = - 3

c) The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [7.5²/6 + 11.1²/8]²/[(1/6 - 1)(7.5²/6)² + (1/8 - 1)(11.1²/8)²] = 613.86/51.46

df = 12

We would determine the probability value from the t test calculator. It becomes

p value = 0.011

d) Since alpha, 0.05 > than the p value, 0.011, then we would reject the null hypothesis. Therefore, we can conclude that at 5% significance level, the mean dissolve times differ between the two shapes

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A. 61

Step-by-step explanation:

Hope this helps, have a great day!

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