Hand Washing Ignaz Semmelweiss (1818-1865) was the doctor who first encouraged other doctors to wash their hands with disinfectant before touching patients. Before the new procedure was established, the rate of infection at Dr. Semmelweiss’s hospital was about 10 % . Afterward the rate dropped to about 1 % . Assuming the population proportion of infections was 10 % , find the probability that the sample proportion will be 1 % or less, assuming a sample size of 200. Start by checking the conditions required for the Central Limit Theorem to apply.
Hand Washing Ignaz Semmelweiss (1818-1865) was the doctor who first encouraged other doctors to wash their hands with disinfectant before touching patients. Before the new procedure was established, the rate of infection at Dr. Semmelweiss’s hospital was about 10 % . Afterward the rate dropped to about 1 % . Assuming the population proportion of infections was 10 % , find the probability that the sample proportion will be 1 % or less, assuming a sample size of 200. Start by checking the conditions required for the Central Limit Theorem to apply.
Solution Summary: The author explains how the Central Limit Theorem can be applied to the sample proportions.
Hand Washing Ignaz Semmelweiss (1818-1865) was the doctor who first encouraged other doctors to wash their hands with disinfectant before touching patients. Before the new procedure was established, the rate of infection at Dr. Semmelweiss’s hospital was about
10
%
.
Afterward the rate dropped to about
1
%
. Assuming the population proportion of infections was
10
%
,
find the probability that the sample proportion will be
1
%
or less, assuming a sample size of 200. Start by checking the conditions required for the Central Limit Theorem to apply.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)
I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)
This exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.)
Creatine(grams)
L-Glutamine(grams)
BCAAs(grams)
Cost($)
Xtend(SciVation)
0
2.5
7
1.00
Gainz(MP Hardcore)
2
3
6
1.10
Strongevity(Bill Phillips)
2.5
1
0
1.20
Muscle Physique(EAS)
2
2
0
1.00
Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.)
servings of xtend servings of gainz
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