The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1775 pounds, and astandard deviation of 95 pounds. It is claimed that an improvement in the manufacturing process hasincreased the mean breaking strength. To evaluate this claim, 20 newly manufactured cables are randomlychosen and tested, and their mean breaking strength is found to be 1796 pounds. Assume that thepopulation is normally distributed. Can we support, at the 0.1 level of significance, the claim that the meanbreaking strength has increased? (Assume that the standard deviation has not changed.)Perform a one-tailed test. Then fill in the table below.Carry your intermediate computations to at least three decimal places, and round your responses asspecified in the table.The null hypothesis:ННThe alternative hypothesis:口SロThe type of test statistic:(Choose one)ロロO

Answered: Image /qna-images/answer/bb692cf8-cb2c-41b0-926a-9945624bdf9c.jpg

Answered: The breaking strengths of cables…

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 researcher wants to select a sample from a population with a mean (µ)= 60 and administer a treatment to individuals in the sample. He thinks the treatment will help improve scores. a. State the hypotheses for a one-tailed test. b. For a one-tailed test, would the critical region be located in the positive or right-hand tail of the distribution, or in the negative or left-hand tail of the distribution?
At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1255 with a standard deviation of 40 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following. A. A range of years centered about the mean in which about 68% of the data ( tree-ring dates) will be found between______ and ____ A. D> B. A range of years centered about the mean in which about 95% of the data ( tree-ring dates) will be found between ______ and _____ A.D. C. A range of years centered about the mean in which almost all the data ( tree-ring dates) will be found between ______ and _____ A.D.
A survey found that women's heights are normally distributed with mean 62.3 in. and standard deviation 2.6 in. The survey also found that men's heights are normally distributed with mean 68.7 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 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 (Round to two decimal places as needed.)
A survey found that women's heights are normally distributed with mean 63.6 in. and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 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 %. (Round to two decimal places as needed.) Since most men the height requirement, it is likely that most of the characters are b. If the height re jed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? meet The new height r imum of in. and a maximum of in. do not meet (Round to one de d.)
Suppose that water usages in American showers are normally distributed, with an average shower using 20 gallons, and a standard deviation of 3.2 gallons. Estimate the percentage of showers that used (a) between 13.6 and 26.4 gallons. % (b) more than 26.4 gallons. % (c) less than 10.4 gallons. % (d) between 16.8 and 29.6 gallons. %
Judy is a psychology student who participates in three competitions: Swimming, cycling, and running in one event. In the last competition, Judy completed the swimming race in 13 minutes and 20 seconds (800 seconds), cycling in 33 minutes and 52 seconds (2032 seconds), and the running race in 17 minutes and 3 seconds (1023 seconds. Completion times for participants in Swimming are normally distributed with a mean of / = 725 seconds and a standard deviation o - 50 seconds. Completion times for participants in Cycling* are normally distributed with a mean of = 2182 seconds and a standard deviation o= 75 seconds. And completion times for participants in Running are normally distributed with a mean of u = 1083 seconds and a standard deviation o = 60 seconds. In which competition race (swimming, cycling, or running) was Judy's performance better, relative to others on average who took part in that competition? Justify your answer, quoting. relevant statistics as part of your explanation
. A process that cuts lengths of metal with high precision has historically produced metal rods with length that is normally distributed and with a mean of 800 millimetres (mm). Management at the factory is concerned that after an overhaul of the machine the mean length of the rods being produced could differ from the required 800 mm. If it is found that the rods are not being produced to specifications then the machine will have to be stopped for readjustment, with a consequent loss of production. The production line manager tasked with investigating the issue finds that a (random) sample of 25 rods yielded a mean length of 806 mm and a sample standard deviation of 10 mm. i. The mean of the sample is clearly not the required 800 mm. Say why this is not enough information in itself to say if the machine is operating correctly or not. ii. State the null and alternative hypotheses for this situation.
A survey found that women's heights are normally distributed with mean 62.1 in. and standard deviation 3.5 in. The survey also found that men's heights are normally distributed with mean 69.8 in. and standard deviation 3.9 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:
The means of the number of revolutions per minute of two competing engines are to be compared. Thirty engines are randomly assigned to be tested. Both populations have normal distributions. Table 10.4 shows the result. Do the data indicate that Engine 2 has higher RPM than Engine 1? Test at a 5% level of significance. Engine Sample Mean Number of RPM Population Standard Deviation 1 1,500 50 2 1,600 60

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