What is the probablity that you select a vial

Assignment Help Other Subject

Reference no: EM131055882

You work for a pharmacuticals company as a statistical process analyst. Your job is to analyze processes and make sure they are in statistical control. In one process, a machine is supposed to add 9.8 mg of a compound to a mixture in a vial. (assume this process can be approximated by a normal distribution.) The acceptable range of amonts of the compound added is 9.65 mg to 9.95 mg inclusive.

Because of an error with the release valve, the setting on the machine shifts from 9.8 mg to check that the machine is adding the correct amount of the compound into the vials, you select at random 3 samples of 5 vials and find the mean amount of the compound added for each sample. A coworker asks why you take 3 sample of size 5 and find the mean instead of randomly choosing and measuring the amounts in 15 vials individually to check the machine settings (note: both samples are chosen without replacement)

You select one vial and determine how much of the compound was added. assume the machine shifts and the distribution of the amount of the compound added now has a mean of 9.96 mg and standard deviation of 0.05 mg

(A) What is the probablity that you select a vial that is not outside the acceptable range?

(B) You randomy select 15 vials what is the probability that you select at least one vial that is not outside the acceptable range?

Reference no: EM131055882

Questions Cloud

Specify the structure and features of cgcs new system : HI5019 STRATEGIC INFORMATION SYSTEMS FOR BUSINESS AND ENTERPRISE - Discuss the criteria to consider in specifying the structure and features of CGCs new system.

Rochdale-born music-hall singer : On which Italian island did the Rochdale-born music-hall singer and comedienne Gracie Fields die on 27th September 1979?

Where should you place this corner to maximize the area : Given a sheet of paper 8.5" by 11", fold the top left corner down to a point on the bottom edge. Where should you place this corner to maximize the area of the triangle formed in the bottom Left corner

Type of poisonous compound : Agent blue is a herbicide that was used against the Vietnamese. What type of poisonous compound does it contain?

What is the probablity that you select a vial : What is the probablity that you select a vial that is not outside the acceptable range? You randomy select 15 vials what is the probability that you select at least one vial that is not outside the acceptable range

Living conditions of slaves : Write 5 page paper describing the antebellum south and the living conditions of slaves. Include a thesis alter the paper around this thesis

What were the main types of business : Civilization is a way of doing business? Using the examples that we have learnt thus far, answer these questions. 1. What were the main types of business (economic activity) in the Ancient world?

Compute point estimate for population mean number shares : Use the data to compute a point estimate for the population mean number of shares traded per day in 2010. Construct a 90% confidence interval for the population mean number of shares traded per day in 2010

Explain the leadership styles of president barack obama : Explain the Leadership styles of President Barack Obama and President Ronald Reagan.

User Account

All Pages