answer 4 and 5 A purple yam manufacturer claims that their containers contain 200 grams of yam. A random sample of 35such containers revealed a mean content of 196 grams. From past data of the manufacturer, the standarddeviation of purple yam content is assumed to be at 15 grams.What is the tabular value, at 95% confidence level? [Select]What is the margin of error, at 95% confidence level? [Select]What is a 95% confidence interval estimate of the true mean purple yam content of the manufacturedcontainers? [Select]Is there evidence to support the claim of the manufacturer?[Select]How large a sample should be taken to be 95% confident that the estimate of the true mean purple yamcontent of the containers will differ by no more than 4 grams? Assume a population standard deviation of 15.[Select]L

Given that, A purple yam manufacturer claims that their containers contain 200 grams of yam. A…

Answered: A purple yam manufacturer claims that…

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 manufacturer of sprinkler systems used for fire protection in office buildings claims that the true average system-activation temperature is 130 . A sample of n=9 systems, when tested, yields a sample average activation temperature of 131.08 F with a standard deviation 1.5F. Suppose the distribution of activation times is normally distributed. Is there sufficient evidence to believe that the average activation temperature of the sprinklers is different from manufacturer claims? (Use 5% significance level)? If you calculate a 95% confidence interval, will 130 be inside or outside the interval? Explain your answer without calculating the interval.
A public health official in Okeechobee county needs to estimate the average systolic blood pressure of all residents in Okeechobee county for a report that is being prepared for the Florida Department of Health. The official randomly selected 66 Okeechobee county residents and found that the mean systolic blood pressure of the sample was 122 millimeters of mercury (mm Hg). Using a 96% confidence level, determine the margin of error, E, and a confidence interval for the mean systolic blood pressure of all Okeechobee county residents. From past research, it is known that the standard deviation of the distribution of all Okeechobee county residents' systolic blood pressure is 9 mm Hg. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary. The margin of error is given by E= A 96% confidence interval is given by=
A random sample of 64 bicycle-riding adults in Portland indicated that 24 always wore a helmet while riding. A random sample of 80 bicycle-riding adults in Amsterdam indicated that 18 always rode a helmet while riding. Answer: A. Use the sample information to develop a 90% confidence level interval estimate for the difference between the proportions of bicycle-riding adults that wear a helmet in two cities. B. Based on the sample results, can you conclude that the population proportion of bicycle-riding adults in Portland who always wear a helmet is greater than the population proportion of bicycle-riding adults in Amsterdam who always wear a helmet? Use a 0.05 level of significance to conduct the test
A social worker was interested in determining whether there is a significant difference in the average monthly cost per child for childcare outside the home between state supported facilities and privately owned facilities. Two independent random samples were selected yielding the following information. State supported Facilities Privately owned Facilities Sample Size 64 64 Sample Mean 725 675 Sample Standard Deviation 95 80 Based on the 90% confidence interval for the true mean difference in average cost of children (state supported - privately owned), can one conclude that there is a difference in the average cost of children between the state supported facilities and privately owned facilities? Group of answer choices A. 90% CI is (-7.28, 52.72). One can conclude that there is a difference in the average cost of childcare between the state supported facilities and privately owned facilities. B. 90% CI is (-7.28, 52.72). One can conclude that there is no…
In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.03 margin of error and use a confidence level 90%.
A manufacturer of electronics will not accept a shipment of parts from a vendor if there is reason to believe that the mean resistance of the components is not 100 ohms. A random sample of 30parts selected from a large shipment yields a mean of 96 ohms and a standard deviation of 10 ohms. Should the shipment be accepted? Use a .02 level of significance and the confidence interval approachto justify your answer.
An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of students at the school who regularly recycle plastic bottles. The teacher selected a random sample of students at the school to survey. Each selected student went into the teacher’s office, one at a time, and was asked to respond yes or no to the following question. Based on the responses, a 95 percent confidence interval for the proportion of all students at the school who would respond yes to the question was calculated as (0.584, 0.816 ). (b) Given the method used by the environmental science teacher to collect the responses, explain how bias might have been introduced and describe how the bias might affect the point estimate of the proportion of all students at the school who would respond yes to the question.
An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of students at the school who regularly recycle plastic bottles. The teacher selected a random sample of students at the school to survey. Each selected student went into the teacher’s office, one at a time, and was asked to respond yes or no to the following question. Based on the responses, a 95 percent confidence interval for the proportion of all students at the school who would respond yes to the question was calculated as (0.584, 0.816 ). (c) The statistics teacher at the high school was concerned about the potential bias in the survey. To obtain a potentially less biased estimate of the proportion, the statistics teacher used an alternate method for collecting student responses. A random sample of 300 students was selected, and each student was given the following instructions on how to respond to the question. • In private, flip a fair coin. • If heads, you…
A government agency finds that in a sample of 22 randomly-selected commuting times for Americans, the average commuting time was 26.97 minutes with a standard deviation of 11.9 minutes, what is the UPPER endpoint of a 95% confidence interval for the population mean?
Recent business graduates currently employed in full-time positions were surveyed. Family backgrounds were self-classified as relatively high or low socioeconomic status. For a random sample of 16 high-socioeconomic-status recent business graduates, the mean total compensation was $34,500 and the sample standard deviation was $8,520. For an independent random sample of 9 low-socioeconomic status recent business graduates, the mean total compensation was $31,499 and the sample standard deviation was $7,521. Find a 90% confidence interval for the difference between the two population means.
In a test of weight loss programs, 40 adults used the Atkins weight loss program. After 12 months, their mean weight loss was found to be 2.1 lb., with a standard deviation of 4.8 lb. a. Construct a 95% confidence interval estimate of the mean weight loss for all subjects. Does the Atkins program appear to be effective? b.If a sample of 100 adults, construct a 95% confidence interval estimate of the mean weight loss for all subjects. Does the Atkins program appear to be effective? c. Based on the results on a) and b), explain the effect of sample size on the confidence interval estimate and its practical implication.
Does this diet help? A group of 74 people enrolled in a weight-loss program that involved adhering to a special diet and to a daily exercise program. After six months, their mean weight loss was 25 pounds, with a sample standard deviation of 9 pounds. A second group of 45 people went on the diet but didn't exercise. After six months, their mean weight loss was 13 pounds, with a sample standard deviation of 8 pounds. Construct a 90% confidence interval for the mean difference in weight losses. Let μ1 denote the mean weight loss of the group with daily exercise. Use tables to find the critical value and round the answers to the nearest integer. A 90% confidence interval for the difference in the mean difference in weight loss, in pounds, is

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