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Alisiya [41]
3 years ago
8

Soil pH is an important variable in the design of structures that will contact the soil. Nine test samples of soil from a potent

ial construction site gave readings of
7.3 6.5 6.4 6.1 6.0 6.5 6.2 5.8 6.7
Assuming that soil pH is normally distributed, find the 90% lower confidence bound for the true average soil pH at the site.
Mathematics
1 answer:
natta225 [31]3 years ago
8 0

Answer:

90% lower confidence bound for the true average soil pH at the site is ≈ 6.13

Step-by-step explanation:

90% Lower Confidence bound can be calculated using M-ME where

  • M is the sample mean pH (6.39)
  • ME is the margin of error from the mean

And margin of error (ME)  can be calculated using the formula

ME=\frac{t*s}{\sqrt{N} } where

  • t is the corresponding statistic in the 90% confidence level (1.86)
  • s is the standard deviation of the sample PH's (0.42)
  • N is the sample size (9)

Using the numbers we get:

ME=\frac{1.86*0.42}{\sqrt{9} } ≈ 0.26

Then the 90% lower confidence bound for the true average soil pH at the site is 6.39 - 0.26 = 6.13

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A conversion factor originally known as unity bracket method, is a mathematical tool for converting between units of measurement. It is sometimes referred to as a unit multiplier, and consists of a fraction in which the denominator is equal to the numerator. A conversion factor is used to change the units of a measured quantity without changing its value. Because of the identity property of multiplication, the value of a number will not change as long as it is multiplied by one.Also, if the numerator and denominator of a fraction are equal to each other, then the fraction is equal to one. So as long as the numerator and denominator of the fraction are equivalent, they will not affect the value of the measured quantity. For example, Days are converted to hours, by multiplying the days by the conversion factor as 24. The conversion can be reversed by dividing, the hours, by 24 to get days; however, the reciprocal 1/24 could be considered the reverse conversion factor for an hours-to-days conversion, where 1/24 ~= 0.0416666666667. Hence, the term "conversion factor" is the multiplier which yields the result, not a divisor from that viewpoint. To yield hours, the conversion factor is 24, not 1/24, so: hours = days × 24 (multiplying by the factor). Examples of Conversion Factors Since 1 day = 24 hours = 1440 minutes, therefore 15 minutes (1 day/1440 minutes) = 15/1440 ~= 0.010416667 = ~0.01 days. Since 1 hour = 60 mins = 3600 seconds, therefore 7200 seconds = 120 mins = 2 hours.
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3 years ago
Dustin has a collenction of quarters and pennies. The total value is $4.65. Th
Hitman42 [59]

Answer:

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Step By Step Solution:

(See image above)

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3 years ago
ITS AN EMERGENCY PLEASE!
Lady bird [3.3K]
I’m pretty sure the power is 4
3 0
3 years ago
Find the h.c.f of
yuradex [85]

The greatest common factor will be (x² – xy + y²).

<h3>Greatest common factor</h3>

This is a value or expression that can divide the given expressions without leaving a remainder.

Given the following expressions

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Learn more on GCF here: brainly.com/question/902408

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2 years ago
Answer choices:<br>A (3 , -4)<br>B (4 , -7/2)<br>C (-5 , 8)<br>D (5/2 , -17/4)​
zhuklara [117]

Answer: D (5/2, -17/4)

Step-by-step explanation:  Using elimination your goal is to get rid or 1 variable  so you can solve for the one that's left.  By adding the -2y and 2y you will get 0.  You will also add the 3x+x (4x) and -1+11 (10).  You have now gotten rid of the y and have 4x=10.  By dividing each side by 4 we now know x =2.5.  D is the only possible solution with x=2.5 (5/2) but to solve for y you plug 2.5 in to an equation as x so) x-2y=11

                                                                           2.5-2y=11

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