NTIAEDIA pharmaceutical company producing vitamin capsules desires a proportionof calcium content between 40 and 55 ppm. A random sample of 20 capsuleschosen from the output yields a sample mean calcium content of 44 ppm with astandard deviation of 3 ppm. Find the natural tolerance limits of the process. Ifthe process is in control at the present values of its parameters, what proportion ofthe output will be nonconforming, assuming a normal distribution of thecharacteristic?Problem Solving:Problem 1, find the Cp index. Comment on the ability of the process to meetspecifications. What proportion of the specification range is used up by the process?If it is easier to change the process mean than to change its variability, to whatvalue should the process mean be set to minimize the proportion of nonconformingproduct?

Given, LSL=40 ppm USL=55 ppm μ^=44 ppm σ^=3 ppm

Answered: A pharmaceutical company producing…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A company claims that the mean monthly residential electricity consumption in a certain region is more than 880 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of63 residential customers has a mean monthly consumption of 910 kWh. Assume the population standard deviation is 120 kWh. At α=0.10,
Titanium alloys have very high hardness. Adding small amounts of copper tends to improve their properties, such as hardness. In order to evaluate the effect of copper addition on hardness of titanium alloys, 10 random casts with 5% copper were made in an argon-arc melting furnace. The Rockwell hardness was determined for each of the casts. Then, the casts were subjected to high temperature (HT) and hardness was determined again in the second row. Assume hardness follows a normal distribution. Use the data below to answer the next three questions. 248 246 245 251 248 250 247 246 243 244 HARD5 HARD5HT 250 247 246 251 251 253 248 246 249 247 (a) Do the data provide evidence that high temperature increases the hardness of 5% copper alloys, on average? What is the distribution of the test statistic under the null hypothesis and the exact p-value? O t-distribution with df = 18; p-value = 0.0862 O t-distribution with df = 9; p-value = 0.00712 O t-distribution with df = 9; p-value = 0.00356 O…
The time it takes for a compact fluorescent bulb to reach full brightness is normally distributed with mean 29.9 seconds and standard deviation 4.1 seconds. Find and interpret the z-score for x = 26.4.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 33 newborn babies has a mean weight loss of 6.2 ounces. The population standard deviation is 1.5 ounces. Is there enough evidence at =α0.01 to support his claim? Assume that the variable is normally distributed. Use the P -value method with tables. hello there are five parts to the question it asks to state the hypothessis and identify the claim it asks to compute the test value find the p value and choose the null hypothesis
An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 30 newborn babies has a mean weight loss of 6.4 ounces. The population standard deviation is 1.6 ounces. Is there enough evidence at =α0.01 to support his claim? Assume that the variable is normally distributed. Use the critical value method with tables. hello the question askas to find the critical value compute the test value and select the hypothesis
Manhattan College is evaluating a new English composition course for freshmen. A random sample of n = 25 freshman is obtained and the students are placed in the course during their first semester. One year later, a writing sample is obtained for each student and the writing samples are graded using a standardized evaluation technique. The average score for the sample is M = 76. For the general population of college students, writing scores form a normal distribution with a mean of μ = 70 and a standard deviation of σ = 20. Test the researcher’s hypothesis - use an α = .05. What decision should be made about the null hypothesis? Be sure to use the correct language when answering this question. Compute Cohen’s d to measure the size of the effect. Is it a small, medium or large effect? Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 88 and standard deviation σ = 21. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 140 (borderline diabetes starts at 140)

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS