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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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?
11. The finishing times of a 5K race run by competitive male runners age 15-18 are approximately normal distribution with a mean time of 18 minutes and a standard deviation of 2 minutes. A particularly tough 5K race tends to take these same runners 4.5 additional minutes. To earn a completion medal in this particular 5K race, the runner must complete the race within 25 minutes. Approximately, what percent of competitive male runners in the 15-18 age bracket typically do not earn a completion medal at this race? (A) Approximately 0% (B) 10.56% (C) 14.08% (D) 28.93% (E) 35.03%
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 29 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.
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 time required for Speedy Lube to complete an oil change service on an automobile follows a normal distribution with mean of 17 minutes and standard deviation of 2.5 minutes. c] What percent of customers have service times between 10 minutes and 20 minutes? d] What interval {low?, high?) captures the middle 75% of customer service times?
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 26 students, and the distribution of total study hours per week is bell-shaped with a mean of 13 hours and a standard deviation of 3.4 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.
20) Based on a recent study, the pH level of the arterial cord (one vessel in the umbilical cord) is normally distributed with mean 7.35 and a standard deviation of 0.19. Find the percentage of preterm infants who have the following arterial cord pH levels. a. pH levels between 7.00 and 7.50. b. pH levels over 7.43. round the answer to two decimal places
A survey found that women's heights are normally distributed with mean 63.1 in. and standard deviation 3.4 in. The survey also found that men's heights are normally distributed with mean 69.4 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 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 the amusement park? The percentage of men who meet the height requirement is%. (Round to two decimal places as needed.)
3. A psychologist expects gender differences in the mean number of times students check their Facebook per day. The psychologist asked 24 males and 24 females about their Facebook activity and found that the mean number of times for females was 12 whereas for males was 9. The study estimated the population standard deviation to be 5. Using the above information and α = .05, two-tailed, independent samples t-test, complete the following questions. a) What is the effect size of this study? b) What is the power of this study? c) Using the same effect size as 3a (and α = .05), how many total subjects would the researcher need to obtain the power of 0.96? d) Interpret your answer to the above question (3c). That is, what does power equal to 0.96 mean in the context of testing a hypothesis?

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