Question

In: Statistics and Probability

A lab is testing the amount of a certain active chemical compound in a particular drug...

A lab is testing the amount of a certain active chemical compound in a particular drug that has been recently developed. The manufacturer claims that the average amount of the chemical is 110 mg. It is known that the standard deviation in the amount of the chemical is 7 mg.

A random sample of 21 batches of the new drug is tested and found to have a sample mean concentration of 104.5 mg of the active chemical.

a)Calculate the 95% confidence interval for the mean amount of the active chemical in the drug. Give your answers to 2 decimal places.

≤ μ ≤

b)At a significance level α = 0.05, the null hypothesis that the population mean amount of the active chemical in the drug is 110 mg is

Solutions

Expert Solution

-----------------------------------------------------------------------------------------------------------------------------------------


Related Solutions

Jane has been working in a drug testing lab for a few years. She is very...
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...
on a certain amount of money, the difference between the compound interest of a year payable...
on a certain amount of money, the difference between the compound interest of a year payable 4 times per year and the simple interest for a year is AED150. IF THE RATE OF INTEREST IN BOTH CASES IS 5% what is the value of this amount
pH Dependence of Drug Absorption lab 1. Calculate the amount of Na2HPO4 * 7H2O ( in...
pH Dependence of Drug Absorption lab 1. Calculate the amount of Na2HPO4 * 7H2O ( in grams) needed to make 50 mL of a 0.40 M solution. 2. Calculate the amounts of Na2HPO4 and NaH2PO4 (in grams) needed to prepare 200 mL of a buffer with pH=8.25 so that the sum of concentrations of HPO42- and H2PO4- ions is 0.5 M. pKa1=2.12, pKa2=7.21, pKa3= 12.38 * on this problem I think you use the Henderson-Hasselbalch equation, but after that I'm...
This data talks about a solution of a chemical after sitting for a certain amount of...
This data talks about a solution of a chemical after sitting for a certain amount of time and provides the time it was left sitting. Concentration of a chemical solution (y) Time after solution was made (x) 0.07 9 0.09 9 0.08 9 0.16 7 0.17 7 0.21 7 0.49 5 0.58 5 0.53 5 1.22 3 1.15 3 1.07 3 2.84 1 2.57 1 3.1 1 Run regression analysis on this. Make sure to output the residuals and residual...
A lab tested the ibuprofen content in a drug manufacturer’s headache pills. After testing 500 random...
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.
Air Purification.During testing of a certain brand of air purifier, the amount of smoke remaining (as...
Air Purification.During testing of a certain brand of air purifier, the amount of smoke remaining (as a percent of the original amount) t min after the start of the test was given by the following function. A(t) = −0.00006t5 + 0.00468t4 − 0.1468t3 + 1.779t2 − 17.63t + 106 Compute the following values. A' (10) = ? A'' (10) = ?
What important physical chemical property of drug polymorph strictures dictates whether a particular polymorph will be...
What important physical chemical property of drug polymorph strictures dictates whether a particular polymorph will be viable as a marketed therapuetic agent? There are multiple such properties but think about the example given in the manual that highlights what is probably the most important property.
For a particular chemical synthesis, the effect of precursor concentration and catalyst amount were studied. Catalyst...
For a particular chemical synthesis, the effect of precursor concentration and catalyst amount were studied. Catalyst amount 0.5 kG Catalyst amound 1 kG Precursor concentration 15% 17, 18, 21 31, 28, 29 Precursor concentration 30% 28, 24, 27 34, 37, 41 Calculate the : a)effect of each factor and interaction between factors, b)significance of each factor and interactions, c) residuals between the actual value and the linear statistical model based on the estimates from 1. Do you think the residuals...
Suppose you have a certain amount of money in a savings account that earns compound monthly...
Suppose you have a certain amount of money in a savings account that earns compound monthly interest, and you want to calculate the amount that you will have after a specific number of months. The formula is as follows: f = p * (1 + i)^t • f is the future value of the account after the specified time period. • p is the present value of the account. • i is the monthly interest rate. • t is the...
In testing a new drug, we obtained the following results: Placebo Drug A Drug B Drug...
In testing a new drug, we obtained the following results: Placebo Drug A Drug B Drug C 3 5 6 7 0 4 3 6 2 2 4 5 0 2 3 4 0 2 4 3 Run the ANOVA and fill in the summary table with the results obtained: SS df MS F-ratio p-value Between 3 Within 16 TOTAL 19 (Report P-value & F-ratio accurate to 3 decimal places and all other values accurate to 2 decimal places.) What...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT