Use Excel to generate 100 N (10,5) distributed random values
(that is 100 values of a Normally distributed random variable with
mean 10 and standard deviation 5). Plot histogram for your data.
See Appendix on how to generate these values.
What are the critical values of t for each of the
following values of N and alpha using a nondirectional
hypothesis?
N
a
a.
12
0.05
b.
20
0.01
c.
2
0.05
d.
5
0.02
e.
19
0.01
Now using a directional hypothesis?
N
a
f.
13
0.025
g.
17
0.005
h.
8
0.05
i.
15
0.01
j.
10
0.05
Fraction dry weight
N
0.12
P
0.02
S
0.01
K
0.01
Na
0.01
Ca
0.005
Mg
0.005
Cl
0.005
Fe
0.002
Prepare a recipe for an inorganic medium to be used in a
laboratory CSTR to grow 500 mg VSS/d of bacteria biomass, assuming
that the composition of the biomass is as listed below. Determine
the concentration of essential inorganic compounds required for a
feed rate of 1 L/d. Assume that phosphorus is added as KH2PO4,
sulfur as Na2SO4, nitrogen...
What must be true about the sampling method and the values of p
and n in order to construct a confidence interval for a proportion?
[3 bullets]
Why is 0.5 used in place of p when determining the minimum
sample size necessary for a proportion confidence interval? [2
sentences]
Why should you be wary of surveys that do not report a margin
of error? [2 sentences]
Why is √pq/n used in the margin of error formula? Where does it
come...
Using skittle values listed below and a 0.01 significance level,
test the claim that the mean number of candies in a bag of Skittles
is more than 58.5. Show all the steps including:
a. the hypotheses with correct notation (4 points)
b. the requirements for performing the hypothesis test, along
with discussing how they are met or not met…hint: the same one that
wasn’t met above isn’t met here! (5 points)
c. the test statistic and supporting work (3 points)...
n object with mass 100 kg moved in outer space. When it was at
location <6, -26, -7> its speed was 6.0 m/s. A single
constant force <230, 310, -120> N acted on the object while
the object moved from location <6, -26, -7> m to location
<12, -22, -11> m. Then a different single constant force
<100, 260, 120> N acted on the object while the object moved
from location <12, -22, -11> m to location <16, -27,
-6>...
8.
Suppose X~N(100,15), what is Pr(100<X<130)
9.
Suppose X~N(100,15), what is Pr(100<X<130)
10.
Suppose X~N(100,15), what is Pr(X<120)
11.
Suppose X~N(100,15), what is Pr(85<X<130)
12.
Suppose X~N(150,25), what is Pr(140<X<165)