3. An experiment is required to estimate a process's process capability cp parameter to within ±20% of itstrue value with 95% confidence, i.e. a confidence interval for the population standard deviation of thefollowing form is required:-P(ĉp(1 − 8) < cp < ĉp(1+8)) = 0.95where cp will be determined from the sample data. Calculate the sample size for the experimentassuming that the distribution is normal.

To find the required sample size, we need to use the chi-square distribution and its relationship…

Answered: 3. An experiment is required to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 267. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 33. At α=0.11, is there enough evidence to support theadministrator's claim? Complete parts (a) through (e).
b) Find the critical value of t for a 90% confidence interval with df=58.
The mean measured verbal IQ (IQV) score of a random sample of 20 children was 86.9 with a standard deviation of 18.5. The mean measured performance IQ score (IQP) of a random sample of 20 children was 101.8 with a standard deviation of 20.0. Using the Critical Value method and alpha = 0.005 to test the claim that the mean IQV is less than the mean IQP. Assume the population variances are not equal (so use unpooled). Step 4a: Find the test statistic. Round to 2 decimal places.
2. An experiment is required to estimate the standard deviation of a process to within ±20% of its true value with 95% confidence, i.e. a confidence interval for the population standard deviation of the following form is required: P(s(1 − 8) < σ < s(1+8)) = 0.95 where s will be determined from the sample data. Calculate the sample size for the experiment assuming that the distribution is normal.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 35.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At α=0.05, can you reject the company's claim? Complete parts (a) through (e). Part 1(a) Identify H0 and Ha. Choose the correct answer below. A.) H0:μ≥35.4 Ha:μ<35.4 B.) H0:μ≠35 Ha:μ=35 C.) H0:μ=35 Ha:μ≠35 D.) H0: μ≥35 Ha: μ<35 E.) H0: μ≠35.4 Ha:μ=35.4 F.) H0: μ=35.4 Ha:μ≠ 35.4 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (c) Find the standardized test statistic. z= (d) Decide whether to reject or fail to reject…
A random sample of size 24 and mean 2.547 was selected from normal distribution if we want to test that the population mean is less than 5.547, knowing that the sample variance 25, the critical value for alpha =0.01 is? a. 2.807 b. 2.500 c. 2.547 d. 2.33
Sony would like to test the hypothesis that the average age of a PlayStation user is different from the average age of an Xbox user. A random sample of 32 PlayStation users had an average age of 33.7 years while a random sample of 36 Xbox users had an average age of 35.6 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.7 and 3.5 years, respectively. Sony would like to set α = 0.05. The p-value for this hypothesis test would be
Suppose the diameter of holes for a cable harness is known to have a mean of 1.4 inches. A random sample of size 12 yields an average diameter of 1.6525 inches and standard deviation of 0.16 inch. Given that the data set is normally distributed, does this mean that this group of cable harnesses is significantly smaller? Test at α = 0.05.
A random sample of n1 = 49 measurements from a population with population standard deviation ?1 = 3 had a sample mean of x1 = 9. An independent random sample of n2 = 64 measurements from a second population with population standard deviation ?2 = 4 had a sample mean of x2 = 11. Test the claim that the population means are different. Use level of significance 0.01.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed with a standard deviation of 7.5 milligrams. At α=0.01, can you reject the company’s claim?
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 38.9 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify H0 and Ha. Choose the correct answer below. A. H0: μ=40 Ha: μ≠40 B. H0: μ=38.9 Ha: μ≠38.9 C. H0: μ≠40 Ha: μ=40 D. H0: μ≤40 Ha: μ>40 E. H0: μ≤38.9 Ha: μ>38.9 F. H0: μ≠38.9 Ha: μ=
Find the a/2 ( the area in one tail outside of the confidence interval) and the critical value z a/2 necessary to construct an 80% confidence interval.

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