In: Statistics and Probability

A lab tested the ibuprofen content in a drug manufacturer’s headache pills. After testing 500 random samples, the mean ibuprofen content was found to be 202 mg with a standard deviation of 10 mg. Construct a 99% confidence interval for the true mean ibuprofen content in all of the manufacturer’s headache pills.

Solution :

Given that,

Point estimate = sample mean =
= 202

Population standard deviation =
= 10

Sample size = n =

At 99% confidence level the z is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576 ( Using z table )

Margin of error = E = Z/2* ( /n)

= 2.576* ( 10 / 500)

= 1.1520

At 99% confidence interval estimate of the population mean is,

- E < < + E

202-1.1520 < < 202+1.1520

200.8480< < 203.1520

(200.8480,203.1520)

A lab tested a random sample of 155 chicken eggs for their level
of cholesterol. The average of the sample was 198 milligrams. The
standard deviation of all eggs of this type is known to be 14.1
milligrams. What is the 95% confidence interval for the true mean
cholesterol content of this type of chicken egg?

A certain drug was tested for it's effectiveness with insomnia.
In a random sample of 18 adults treated with the drug for insomnia,
the standard deviation of awake time was 42.3 minutes. Assume the
sample comes from a population that is normally distributed. Find a
98% confidence interval for the population standard deviation of
awake times for all adults who are treated with the drug. Sketch a
curve and shade the appropriate region with notation. Show all work
using proper...

Consider a drug testing company that provides a test for
marijuana usage. Among 253 tested subjects, results from 27
subjects were wrong (either a false positive or a false
negative). Use a 0.10 significance level to test the claim that
less than 10 percent of the test results are wrong.
Identify the test statistic for this hypothesis test.

Consider a drug testing company that provides a test for
marijuana usage. Among 343 tested subjects, results from 30
subjects were wrong (either a false positive or a false
negative). Use a 0.05 significance level to test the claim that
less than 10 percent of the test results are wrong.
Identify the null and alternative hypotheses for this test.
Choose the correct answer below.
A.
Upper H 0: pequals0.1
Upper H 1: pnot equals0.1
B.
Upper H 0: pless than0.1...

Jane has been working in a drug testing lab for a few years.
She is very familiar with antimicrobial testing. She is given a new
drug to test for susceptibility and sensitivity. Her report needs
to be detailed, listing all of the organisms that are susceptible
and resistant, to back-up her results for the Minimal Inhibitory
Concentration.
Working in a lab where funding is an issue, describe how you
would test the new drug. Be very detailed.
Working in a...

ATCs are required to undergo periodic random drug testing.
A simple, low-cost urine test is used for initial screening. It has
been reported that this particular test has a sensitivity and
specificity of 0.96 and 0.93. This means that if there is drug use,
the test will detect it 96% of the time. If there is no drug use,
the test will be negative 93% of the time.
Based on historical results, the FAA reports that the
probability of drug...

CASE STUDY: EVIDENCE-BASED HRM Random Drug Testing at the
Toronto Transit Commission (TTC)
The Supreme Court of Canada has tended to accept drug testing
when there is reasonable cause or following an incident; however,
random drug testing has tended to be more controversial. The
Toronto Transit Commission (TTC) recently implemented random drug
testing, which met with opposition from the Amalgamated Transit
Union (ATU) Canada. However, the judge resisted the injunction
request from the ATU, based on expert evidence provided by...

ADVERTISEMENT

ADVERTISEMENT

Latest Questions

- Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment...
- With the data below, calculate NPV for the following Project Project life is 5 year Sales...
- Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All...
- A genetic defect in coagulation factor IX causes hemophilia b, a disease characterized by a tendency...
- CompTIA Linux+ Guide to Linux Certification (4th Edition)(Please do not do it in a mac and...
- 1. What are the different types of factor analysis and what are they used for in...
- Goods may be refused entry into the U.S. by the Bureau of Customs and Border Protectiion...

ADVERTISEMENT