Question 2a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 dis esga ve a mean diameter, x = 14.9 mm and a standard deviation, s = 1.33 mm. A test wascarried out at the 5% level of significance to de te mine whether the machine is in goodworking order. Assume that the diameter of the disc follows a normal distribution.State, in symbols, the null and alternate hypotheses for this test.i.ii.State, with reasons, whether a t-test or a z test will be appropriate.(Determine the re jec tion region(s) of the test.iii.iv.Calculate the value of the test statis tic.V.State, with reason, a valid conclusion for the test.

The test statistic for one sample t-test is given as t=x¯-μsn where…

Answered: Question 2 a) A machine is set 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 survey found that women's heights are normally distributed with mean 62.7 in. and standard deviation 2.6 in. The survey also found that men's heights are normally distributed with mean 68.4 in. and standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is 5.08 %. (Round to two decimal places as needed.) Since most men do not meet the height requirement, it is likely that most of the characters are women. b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? The new height requirements are a minimum of in. and a maximum of (Round to…
A survey found that women's heights are normally distributed with mean 63.4 in. and standard deviation 2.5 in. The survey also found that men's heights are hormally distributed with mean 68.3 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at he amusement park? The percentage of men who meet the height requirement is %. Round to two decimal places as needed.)
Solve for C)
A survey found that women's heights are normally distributed with mean 62.4 in. and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with mean 67.5 in. and standard deviation 3.1 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is nothing%. (Round to two decimal places as needed.) Since most men ▼ do not meet meet the height requirement, it is likely that most of the characters are ▼ b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? The new height requirements are a…
Tree-ring dates were used extensively in archaeological studies at Burnt Mesa Pueblo. At one site on the mesa, tree-ring dates (for many samples) gave a mean date of μ₁ = year 1259 with standard deviation ₁ = 35 years. At a second, removed site, the tree-ring dates gave a mean of μ₂ = year 1101 with standard deviation ₂ = 35 years. Assume that both sites had dates that were approximately normally distributed. In the first area, an object was found and dated as x₁ = year 1202. In the second area, another object was found and dated as x₂ = year 1246. The Standard Normal Distribution (u= 0, σ = 1) O -3 -2 O 0 68% of area 95% of area 99.7% of area 2 (a) Convert both X₁ and X₂ to z values, and locate both of these values under the standard normal curve of the figure above. (Round your answers to two decimal places.) Z1 = Z2 3 (b) Which of these two items is the more unusual as an archaeological find in its location? O x₁; the further a z value is from zero, the more unusual it is. X₂i the…
The mean diameter of a ball bearing produced by a certain manufacturer is 0.60 cm with a standard deviation of 0.04 cm. A sample of 25 ball bearings is randomly selected from a production run. The sample had a mean of 0.60008 and a median 0.60333. What is the standard error for the sample mean? O A. 0.00032 O B. 0.008 O C. 0.0016 O D. 0.00008 O E. 0.00333
A survey found that women's heights are normally distributed with mean 63.9 in. and standard deviation 3.5 in. The survey also found that men's heights are normally distributed with mean 69.2 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is % (Round to two decimal places as needed.)

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