Question

Measurements reveal that approzimately half of the dry weight is
from proteins. if we assume that the average protein has a mass of
30,000Da, estimate the number of proteins within an E. coli cell.
round the answer to the nearest millions of proteins. (for example,
4,237,178 proteins -> 4 million proetins, thus the answer would
be 4).

Answer #1

Assume that we want to estimate the mean IQ score for the
population of statistics students. How many statistics students
must be randomly selected for IQ tests if we want 95% confidence
that the sample mean is within 2 IQ points of the population mean?
Assume that σ = 15. Round the answer to the nearest large whole
number!

We present 2 examples of the corporate valuation model. In
the first problem, we assume that the firm is a mature company so
its free cash flows grow at a constant rate. In the second problem,
we assume that the firm has a period of nonconstant
growth.
a.
Assume today is December 31, 2019. Barrington Industries expects
that its 2020 after-tax operating income [EBIT(1 – T)] will be $410
million and its 2020 depreciation expense will be $60 million.
Barrington's...

You measure 22 textbooks' weights, and find they have a mean
weight of 55 ounces. Assume the population standard deviation is
3.6 ounces. Based on this, construct a 95% confidence interval for
the true population mean textbook weight.
Give your answers as decimals, to two places
You are a researcher studying the lifespan of a certain species
of bacteria. A preliminary sample of 30 bacteria reveals a sample
mean of ¯x=78 hours with a standard deviation of s=6.2 hours. You...

Allen's hummingbird (Selasphorus sasin) has been studied by
zoologist Bill Alther.† Suppose a small group of 11 Allen's
hummingbirds has been under study in Arizona. The average weight
for these birds is x = 3.15 grams. Based on previous studies, we
can assume that the weights of Allen's hummingbirds have a normal
distribution, with σ = 0.30 gram.
1. Find an 80% confidence interval for the average weights of
Allen's hummingbirds in the study region. What is the margin of...

We have seen that the standard deviation σ measures the spread
of a data set about the mean μ. Chebyshev's inequality
gives an estimate of how well the standard deviation measures that
spread. One consequence of this inequality is that for every data
set at least 75% of the data points lie within two standard
deviations of the mean, that is, between μ − 2σ and μ + 2σ
(inclusive). For example, if μ = 20 and σ = 5,...

Assume the mean number of taste buds from the general population
is 10,000 with a standard deviation of 900. You take a sample of 10
top chefs and find the mean number of taste buds is 11,200. Assume
that the number of taste buds in top chefs is a normally
distributed variable and assume the standard deviation is the same
as for the general population.
(a) What is the point estimate for the mean number of taste buds
for all...

Taste Buds – Top Chefs: Assume the mean number of taste buds
from the general population is 10,000 with a standard deviation of
950. You take a sample of 10 top chefs and find the mean number of
taste buds is 10,900. Assume that the number of taste buds in top
chefs is a normally distributed variable and assume the standard
deviation is the same as for the general population.
(a) What is the point estimate for the mean number...

1. Taste Buds – Top Chefs:
Assume the mean number of taste buds from the general population
is 10,000 with a standard deviation of 850. You take a sample of 10
top chefs and find the mean number of taste buds is 10,900. Assume
that the number of taste buds in top chefs is a normally
distributed variable and assume the standard deviation is the same
as for the general population.
(a) What is the point estimate for the mean...

Total blood volume (in ml) per body weight (in kg) is important
in medical research. For healthy adults, the red blood cell volume
mean is about μ = 28 ml/kg.† Red blood cell volume that is
too low or too high can indicate a medical problem. Suppose that
Roger has had seven blood tests, and the red blood cell volumes
were as follows.
33
26
40
33
32
39
29
The sample mean is x ≈ 33.1 ml/kg. Let x...

A random sample of 49 measurements from one population had a
sample mean of 16, with sample standard deviation 3. An independent
random sample of 64 measurements from a second population had a
sample mean of 18, with sample standard deviation 4. Test the claim
that the population means are different. Use level of significance
0.01.
(a) What distribution does the sample test statistic follow?
Explain.
The Student's t. We assume that both population
distributions are approximately normal with known...

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