3. A random sample of size 16 is taken from a normal population with mean u. If the sample mean is 68 and the sample standarddeviation is 8.(a) what distribution is used to find critical value of 95% CI?O t- distributionO Normal distributionBinomial distributionz, the standard normal distribution(b) Compute a 95% upper confidence bound for p:(Not upper limit of 95%CI) (enter your answer in 3 decimal places)

Answered: Image /qna-images/answer/eb1960d6-f88a-4788-b94e-9b0a222a5981.jpg

Answered: 3. A random sample of size 16 is taken…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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a) A random sample of 6 insurance claims is selected from a lot of 15 that has 3 non-conforming units. Using the hypergeometric distribution, what is the probability that the sample will contain exactly 3 non-conforming units? What is the probability that the sample will contain less than 2 non-conforming units? b) A process is in statistical control with a mean of 79.5 mm and a standard deviation of 1.85. Theupper specification limit is 80.2 mm, and the lower specification is 78.6 mm. What are the valuesof Cp, Cpk?
A sample of size n = 144 is drawn from a skewed infinite population with mean µ = 30 and standard deviation σ = 20 Find P(x̄ ≥ 34) Why is the sampling distribution of the sample mean x̄ approximately normally distributed for this problem?
2. Assume that the data has a normal distribution and the number of observations is greater than 50. Find the critical z value used to test a null hypothesis if: α = 0.09 for a right tailed test. Show work.
2. The strength of steel wire made by an existing process is normally distributed with a mean of 1550 and a standard deviation of 170. A batch of wire is made by a new process, and a random sample consisting of 25 measurements gives an average strength of 1316. Assume that the standard deviation does not change. Is there evidence at the 1% level of significance that the new process gives a larger mean strength than the old? To answer this question, the alternative hypothesis could be stated as A. µ = 1550 psi B. µ > 1550 psi C. µ ≠ 1550 psi D. µ < 1550 psi
A certain population has a mean of 200 and standard deviation of 50. If all random samples of size 100 are drawn from this population, the resulting distribution of X will have a mean of _________.
Suppose that a very large number of random samples of size 25 are selected from a population with mean u and standard deviation o. If the mean of all the X's found is 300 and the standard deviation of these X's is 20, what are the estimates of the true mean and the true standard deviation or of the distribution from which the samples were drawn
1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.
2) A manufacturer claims that the replacement time for their CD players has a mean of 7 years and a standard deviation of 1.4 years. If this is true, find the probability that a) one randomly selected CD player is replaced in 6.2 years or less b) in a random sample of 30 CD players, the mean replacement time is 6.2 years or less c) In part b), are the assumptions of the Central Limit Theorem satisfied? Explain
The capacity of a brand of pipette may be modelled by a normal distribution, and it is claimed that the population mean capacity is 5 millilitres. A random sample of 10 pipettes of this brand is selected, and the capacity of each measured, giving a sample mean of 4.9 millilitres and a sample standard deviation of 0.2 millilitres. Perform a hypothesis test, at a 10% level of significance, to investigate whether or not the population mean capacity of pipettes of this brand is different from 5 millilitres.
2. The Acme Company manufactures large capacity Flash drives using two different manufacturing processes. The company is interested in determining if there is a significant difference in the average manufacturing time of the two processes. For Process #1, a sample of 28 items shows a sample mean of 9 minutes and a sample standard deviation of 3.5 minutes. For Process #2, a sample of 23 items shows a sample mean of 13 minutes and a sample standard deviation of 4.5 minutes. At a 5% level of significance, Test the claim of no difference in the average time for the two processes. What is your conclusion?

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