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 = t_{0.005,34 = 2.73}

t_/2,df = 2.73

Margin of error = E = t_/2,df * (s / $\sqrt$ n)

= 2.73 * (14 / $\sqrt$ 35)

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 2 years ago

Next > < Previous

Related 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...

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.

What is the effect of population growth on GDP?

What is the effect of population growth on GDP? Give reason with details.

A researcher at a major hospital wishes to estimate the proportion of the adult population of...

A researcher at a major hospital wishes to estimate the proportion of the adult population of the United States that has high blood pressure. How large a sample is needed to be 90% confident that the sample proportion will not differ from the true proportion by more than 5% A. If no preliminary estimate is available B. If a recent survey indicated that 43% of the population suffers from high blood pressure.

A airline wishes to estimate the mean number of seats that are empty on flights that...

A airline wishes to estimate the mean number of seats that are empty on flights that use 737-airplanes. There are 189 seats on a plane. To do so, the airline randomly picks n=35 flights. For each flight, the number of empty seats is counted. The data are given below. 38, 42, 44, 42, 40, 45, 37, 31, 33, 36, 35, 39, 37, 37, 43, 38, 41, 27, 33, 35, 37, 46, 32, 35, 35, 42, 37, 41, 29, 40, 44,...

what effect would transduction, transformation & conjugation have on the amount of antibiotic resistance in bacteria?

Subjects