selected parts. The sample standard deviation is s =0.37. Construct a 95% two-sidedconfidence interval for the standard deviation5. The operations manager of a large production plant would like to estimate the mean amount oftime a worker takes to assemble a new electronic component. Assume that the standarddeviation of this assembly time is 3.6 minutes.a. After observing 120 workers assembling similar devices, the manager noticed thattheir average time was 16.2 minutes. Construct a 90% confidence interval for themean assembly time.b. How many workers should be involved in this study in order to have the meanassembly time estimated up to + 15 seconds with 90% confidence?6. A new rocket-launching system is being considered for deployment of small, short-rangerockets. The existing system has p = 0.8 as the probability of a successful launch. A sample of40 experimental launches is made with the new system, and 34 are successful. Using 95%O FocusEnglish (United States)searchSW201727°C近

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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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5. Old Faithful is a famous geyser at Yellowstone National Park. From a sample of 40 eruptions, the mean duration of Old Faithful eruptions is 3.7 minutes, and the standard deviation is 1.2 minutes. Find the percent of eruptions that have lasted from 1.3 minutes to 6.1 minutes.
4. A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of weight loss is about 10 pounds. How large a sample should he take to estimate the mean weight loss to within 2 pounds, with a 90% confidence.
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.
1) A half-century ago, the mean height of women in a particular country in their 20s was 63.7 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.31 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 26 of today's women in their 20s have mean heights of at least 65.04 inches?
In one city, the average amount of time that tenth-graders spend watching television each week is 23 hours. The principal of Birchwood High School believes it is less for the 10th grade students that at his school. For a sample of 95 tenth-graders from the school, the mean amount of time spent watching television per week was 21.9 hours. Assuming a population standard deviation of 3.1 hours, does the data provide sufficient evidence to conclude that for all tenth-graders at Birchwood High school, the mean amount of time spent watching television per week is less than the city average of 23 hours? Perform the appropriate hypothesis test using a significance level of 0.005. What are the hypotheses? What is the test statistic? Is it a z or a t? Find the P-value for this test statistic. How does it compare to the significance level? On the normal curve, indicate the location of the test statistic and the p-value. (label them on the graph) Write…

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