4. The existing system for the production of a certain item has a mean of 50 seconds, anda standard deviation of 20 seconds. The company wishes to procure a new computerisedsystem and to test the efficiency of the new system, 30 items are sampled giving a mean of43 seconds. Test at both significant level stated below to decide whether the existing systemshould be replaced or not.a) 0.05b) 0.01

Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Answered: 4. The existing system for the…

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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18)
Suppose that the lifetime of a particular component of a battery (in a container) is known to be approximately normally distributed with the mean 500 hours and standard deviation 50 hours. A purchaser requires at least 95 percent of them to have a lifetime greater than 399 hours. Will the component of a battery (in a container) meet the purchaser's specification?
12.) The FAA has to periodically revise their rules regarding weight estimates. Airlines use anestimate for the weight of a passenger of 195 lbs. (an adult traveling in winter including 20 lbs.of baggage). According to your textbook, assume that men (not carrying baggage) have weightsthat are normally distributed with a mean of 188.6 lbs. and a standard deviation of 38.9 lbs.a.) If one adult male is randomly selected and is assumed to be carrying 20 lbs. carry-onbaggage, find the probability that the total weight is greater than 195 lbs.b.) What total weight would separate the lower 20% of men carrying 20 lbs. of baggage fromthe top 80%?
1) Speeds of vehicles at a certain highway location are normally distributed with a mean of 66.4 and a standard deviation of 8.8. Find the speed in mph that separates the fastest 4% from the others. Select one: a) 84.0 b) 81.8 c) 69.9 d) 70.9 e) 51.0 2) Find the number of respondents needed in a poll to determine within 1.5% margin of error, the percentage of US adults that prefer divided government. Use 90% conifdence and assume about 32% of US adults prefer divided government. Select one: a) 1693 b) 30 c) 1922 d) 3403 e) 2618
3. At a land farm, a farmer desired to test the effect of a given fertilizer on soybean production. He chose 24 plots of land of which are equal surface area. He treated 12 plots with the fertilizer and the others were untreated. Otherwise the conditions were the same. The treated plots produced soybean with mean yield 5.1 bushels and a standard deviation of 0.36 bushels, while the untreated plots had mean yield 4.8 bushels and a standard deviation of 0.40 bushels. (a) Can we conclude that there is a significant improvement in soybean production because of the fertilizer if a significance level of 1% is used? (b) What is the P-value of the test?
12) A state fish hatchery raises trout for stocking streams and lakes. The size of the fish at release time can be controlled to a fair degree by varying the rate of feeding. The target is a mean of 10 ounces; if the fish are too small, those who catch the fish aren’t happy. A random sample of 75 fish were weighed at time of release and it was determined that the mean was 9.66 ounces with a standard deviation of 0.86 ounces. Test to determine if the fish being released have a population mean less than 10 ounces at the 0.01 significance level.
5. Soda cans: A machine that fills cans with soda fills according to a Normal model with mean 18.4 ounces and standard deviation 0.18 ounces. If the cans claim to have 18 ounces of soda each, what percent of cans are under- filled?
4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be changed. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed? JTM
Assume that human body temperatures are normally distributed with a mean of 98.19°F and a standard deviation of 0.64"F. a, A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate? b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.) Click to view page 1 of the table. Click to view page 2 of the table, The pereenteeei e ens considered te bavetver i
8
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 30 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 2.7 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week.

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