Question
In: Statistics and Probability
A biologist wishes to estimate the effect of an antibiotic on the growth of a particular...
A biologist wishes to estimate the effect of an antibiotic on the growth of a particular bacterium by examining the mean amount of bacteria present per plate of culture when a fixed amount of the antibiotic is applied. Suppose he estimates that s = 14 cm2 and that he has a sample size of 35 with sample mean equal to 115 cm2. Assume all conditions are met.
(a) What is the the t* value needed to construct a 99% confidence interval for the mean?
*NOTE 2.783 IS WRONG and so is 2.441
(b) Let μ denote the population mean amount of bacteria present per plate of culture. Calculate the 99% confidence interval for μ.
Solutions
Expert Solution
Solution :
Given that,
Point estimate = sample mean = 
= 115
sample standard deviation = s = 14
sample size = n = 35
Degrees of freedom = df = n - 1 = 35-1 = 34
a) At 99% confidence level
= 1-0.99% =1-0.99 =0.01
/2
=0.01/ 2= 0.005
t/2,df
= t0.005,34 = 2.73
t
/2,df = 2.73
Margin of error = E = t/2,df
* (s /
= 2.73 * (14 /
Margin of error = E =6.46
b) The 99% confidence interval estimate of the population mean is,
- E < 
<
+ E
115 - 6.46<
< 115+6.46
108.54 <
< 121.46
(108.54,121.46)
orchestra answered 3 years agoRelated Solutions
6. (12 marks) A biologist wishes to examine the collision avoidance behaviour of bullfrogs housed in...
6. A biologist wishes to examine the collision
avoidance behaviour of bullfrogs housed in experimental boxes. He
placed an object in the upper visual field of each frog and then
moved the object progressively closer until the frog jumped to
avoid collision. He is interested in how the angle (in degrees) of
a frog’s escape direction depends on its angular velocity
(degrees/second). The data (for only the 69 frogs whose escape
direction was less than 50 degrees) are available in...
why would an antibiotic effect a bacterium and not a fungus , etc? or gram -...
why
would an antibiotic effect a bacterium and not a fungus , etc? or
gram - and not a gram + or an acid fast bacteria?
A local biologist needs a program to predict population growth. The inputs would be: The initial...
A local biologist needs a program to predict population growth.
The inputs would be:
The initial number of organisms, as an int
The rate of growth (a real number greater than 1), as a
float
The number of hours it takes to achieve this rate, as an
int
A number of hours during which the population grows, as an
int
For example, one might start with a population of 500 organisms,
a growth rate of 2, and a growth period...
A local biologist needs a program to predict population growth. The inputs would be: The initial...
A local biologist needs a program to predict population growth.
The inputs would be: The initial number of organisms The rate of
growth (a real number greater than 1) The number of hours it takes
to achieve this rate A number of hours during which the population
grows For example, one might start with a population of 500
organisms, a growth rate of 2, and a growth period to achieve this
rate of 6 hours. Assuming that none of the...
language: python A local biologist needs a program to predict population growth. The inputs would be:...
language: python
A local biologist needs a program to predict population growth.
The inputs would be:
The initial number of organisms, as an int
The rate of growth (a real number greater than 1), as a
float
The number of hours it takes to achieve this rate, as an
int
A number of hours during which the population grows, as an
int
For example, one might start with a population of 500 organisms,
a growth rate of 2, and a...
language: python A local biologist needs a program to predict population growth. The inputs would be:...
language: python
A local biologist needs a program to predict population growth.
The inputs would be:
The initial number of organisms, as an int
The rate of growth (a real number greater than 1), as a
float
The number of hours it takes to achieve this rate, as an
int
A number of hours during which the population grows, as an
int
For example, one might start with a population of 500 organisms,
a growth rate of 2, and a...
A manager wishes to estimate a population mean using a 90% confidence interval estimate that has...
A manager wishes to estimate a population mean using a 90%
confidence interval estimate that has a margin of error of +- 47.0.
If the population standard deviation is thought to be 640, what is
the required sample
size?
The sample size must be at least _?
Explain how to estimate the cost of capital. In particular, explain how to estimate the equity...
Explain how to estimate the cost of capital. In particular,
explain how to estimate the equity cost of capital, list two
different methods to estimate the debt cost of capital, and how to
calculate the weighted average cost of capital for a given
debt-equity ratio.
Explain how to estimate the cost of capital. In particular, explain how to estimate the equity...
Explain how to estimate the cost of capital. In
particular, explain how to estimate the equity cost of capital,
list two different methods to estimate the debt cost of capital,
and how to calculate the weighted average cost of capital for a
given debt-equity ratio.
What is the effect of population growth on GDP?
What is the effect of population growth on GDP? Give reason with details.
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Baked potatoes are normally wrapped in aluminum foil. How does this affect the cooling of the...
- What is the process to obtain biomass production
- A labor market has 50,000 people in the labor force. Each month, a fraction p of...
- A road with a radius of 72 m is banked so that a car can navigate...
- 1) If you had not dried the solid, would the calculated percent yield have been higher,...
- Two structures of alanine can be drawn that have a net charge of zero, but the...
- Co(II) was used as an internal standard to analyze a sample of Ti(IV) with atomic absorption...
ADVERTISEMENT