obtained from this manufacturer and a series of measurements are to bemade on the strength of different pieces of paper from the batch.Assuming that the standard deviation of these measurements is alsoper centcertain of detecting a mean increase in strength of 2 p.s.i. with a one-3 p.s.i., how large a sample size should be chosen so as to be 95tailed test at the 5 per cent level? 4. The strength of paper used by a certain company is approximatelynormally distributed with mean 30 p.s.i. and standard deviation 3 p.s.i.The company decides to test a new source of paper made by a differentmanufacturer. If this paper is significantly stronger, then the companywill switch its trade to this new manufacturer. A batch of paperis

Given that: Population mean, μ=30 Population standard deviation, σ=3 Margin of error, E=2…

Answered: 4. The strength of paper used by a…

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 particular fruit's weights are normally distributed, with a mean of 419 grams and a standard deviation of 7 grams.If you pick 3 fruits at random, then 9% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator. Part 1 of 2 Find the probability that x will be between 25 and 27. Round the answer to four decimal places. The probability that x will be between 25 and 27 is Part 2 of 2 th Find the 55 percentile of X. Round the answer to two decimal places. The 55th percentile is
A particular fruit's weights are normally distributed, with a mean of 796 grams and a standard deviation of 39 grams. If you pick 23 fruits at random, then 14% of the time, their mean weight will be greater than how many grams?
Assume that human body temperatures are normally distributed with a mean of 98.23°F and standard deviation of .64°F. The hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy person's would be considered to have a fever? Does this percentage suggest that a cut off of 100.6°F is appropriate? Physicians want to select a minimum temperature for requiring further medical test. What should the temperature be if we want only 5% of healthy people to exceed it?
A particular fruit's weights are normally distributed, with a mean of 636 grams and a standard deviation of 18 grams.If you pick 21 fruits at random, then 15% of the time, their mean weight will be greater than how many grams?
3. The time to read a statistics exam is normally distributed I = 7 minutes Standard deviation = 2.5 What percentage of students take more than 5 minutes to read the exam?
A researcher wants to determine if there is a significant difference in the average math scores of two different teaching methods (Method A and Method B). He collects a sample of 50 students from each teaching method and calculates their scores. The sample mean score for Method A is 85 and the sample mean score for Method B is 80. The sample standard deviation for Method A is 4 and the sample standard deviation for Method B is 3. Conduct an independent samples t-test to determine if there is a significant difference in the average math scores of the two teaching methods at a significance level of 0.01.
D A small amount of the trace element selenium, 50-200 micrograms (ug) per day, is considered essential to good health. Suppose that random samples of 50 adults were selected from two regions of the United States and that each person's daily selenium intake was recorded. The means and standard deviations of the selenium daily intakes for the two groups are shown in the table. Sample Mean (ug) Sample Standard Deviation (ug) Find a 95% confidence interval for the difference (₁-₂) in the mean selenium intakes for the two regions. (Round your answers to three decimal places.) 49 Region Phase One-Tw_docx 1 167.4 22.8 ug to Interpret this interval, O The probability that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is exactly in the middle of the Interval is 95%. A 2 140.5 17.3 O The probability that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is within the interval is 95%. We are 95%…
The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1775 pounds and a standard deviation of 70 pounds. The Español company believes that, due to an improvement in the manufacturing process, the mean breaking strength, µ, of the cables is now greater than 1775 pounds. To see if this is the case, 16 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1806 pounds. Assume that the population is normally distributed. Can we support, at the 0.10 level of significance, the claim that the population mean breaking strength of the newly- manufactured cables is greater than 1775 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. 00 Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H,…
Suppose that a sample of size 52 is drawn from a population with mean 23 and standard deviation 39 . Find the value of , the standard deviation of the distribution of sample means.
Two groups of students took the same test. Group A is having a mean of 60 marks and a standard deviation of 5 markS. Group B is having a mean of 60 marks and a standard deviation of 10 marks. Which of the statements below is correct? A. Group A students have a wider spread in performance than that in group B B. Group B students have a wider spread in performance than that in group A C. Group A students have the same spread in performance than that in group B D. None of the above A
Pavan.88.9

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