Estimate the mean weight of capsules

Assignment Help Basic Statistics
Reference no: EM131015199

A pharmaceutical firm produces capsules that are supposed to contain 50 mg of a certain drug. The precise weights vary from capsule to capsule but can be assumed to have a normal distribution.

(a) Suppose that one is interested in constructing a 95% confidence interval that would estimate the mean weight of capsules to within 2 mg, and you suspect that a is no larger than 3 mg. How large a sample size is necessary?

(b) A random sample of 16 capsules results in the statistics x = 47 mg and s = 4 mg. Construct a 90% confidence interval for the mean weight of the capsules produced by this process.

(c) How large should a second sample be in order to estimate the mean weight of capsules to within 1.5 mg with 95% confidence?

(d) If the second sample resulted in x = 44 and s = 4.5 mg, what would you obtain for the 95% confidence interval?

Reference no: EM131015199

Questions Cloud

Describe the calculation used to arrive at pension expense : Explain the areas of accounting for pensions that continue to be controversial and under debate. How do you think these areas may change in the future?
Average amount of unburned hydrocarbons : Construct an 88% confidence interval for the average amount of unburned hydrocarbons for the entire population of this brand of car­ buretor.
Developing and leveraging the full potential of its resource : How the establishment of entry into this region by your company will lead to entry barriers for competitors who enter the region at a later date
Difference between pension and postretirement benefits : What type of pension and other postretirement benefit plans the company offers to its employees? What are the reporting requirements for pension plans in the financial statements?
Estimate the mean weight of capsules : Suppose that one is interested in constructing a 95% confidence interval that would estimate the mean weight of capsules to within 2 mg, and you suspect that a is no larger than 3 mg. How large a sample size is necessary?
Confidence interval for the unknown mean of the pop­ulation : Construct a 95% confidence interval for the unknown mean of the pop­ ulation from which the above sample was obtained. Construct an interval that with 95% confidence will contain 99% of the population values.
Estimate the non-conforming rate : If the non-conforming rate has increased to say 12% what is the prob­ ability that you would see no non-conforming items in a sample of size 8? How large of a sample would you need to estimate the non-conforming rate to within 5% with 95% confide..
New version of a diagnostic blood test : Suppose researchers have just discovered a new version of a diagnostic blood test. Data from 100 subjects were collected. Sixty of the subjects were known healthy patients and 40 had liver disease. The test results are given below.
At what rate is x changing : A point moves along the curve y = 2x2 - 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x = -3/2?

Reviews

Write a Review

 

Basic Statistics Questions & Answers

  Eoq model and quantity discount

Apply the EOQ model to the following quantity discount situation in which D=500 units per year, C0=$40, and the annual holding cost rate is 20%. What order quantity do you recommend?

  Describing the shape of the distribution

Describe the shape of the distribution? what proportion of the players had no hits? how many players had 4 or fewer hits? what percentage of the players had one or fewer hits?

  We write the numbers 1 -10 on separate pieces of paper and

we write the numbers 1 -10 on separate pieces of paper and put them into a box. a number is drawn from the box. find

  What is probability that both balls in urn are colored red

Two balls, each equally likely to be colored either red or blue, are put in an urn. At each stage one of the balls is randomly chosen, its color is noted, and it is then returned to the urn. If the first two balls chosen are colored red, what is t..

  Mean and standard deviation of the weights

The weights of dormitory cockroaches follow a normal distribution. 14% of the dormitory cockroaches weigh below 77 grams and 10% of them weigh above 82 grams. Find the mean and standard deviation of their weights.

  Variation and special causes of variation

What is the difference between common causes of variation and special causes of variation?

  Determine p-value-proportion of homes that have a pool

Determine the proportion of homes that have a pool. At the .05 significance level, can we conclude that less than 40 percent of the homes sold in the Denver area had a pool? What is the p-value?

  What is the probability that the operator will be unable

If an operator can handle at most five calls per minute, what is the probability that the operator will be unable to handle the calls in any 1-minute period?

  Assumed that it is reasonable to believe that the

a simple random sample of 12 e-readers of a certain type had the following minutes of battery life.287 311262 392 313

  Find an equation of the parabola that has the indicated

find an equation of the parabola that has the indicated vertex and whose graph passes through the given point. vertex

  Detailed explanation to random sample

A random sample of 56 people measured accuracy w/ positive errors representing watches that are ahead of the correct time and negative rep. those behind the time.

  In a truefalse quiz there are two possible answers to each

in a truefalse quiz there are two possible answers to each of 5 questions. a student has not studied for the quiz and

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd