ModulesQuestion 12AssignmentsYou wish to estimate the average weight of frogs in a certain pond. You plan to randomly sampleN frogs and estimate their average weight (X) and construct a 95% confidence interval. Assumethe standard deviation (o) in weight between individual frogs is approxcimately equal to 1.3 grams.How large a sample do you need so that the margin of error for your confidence interval is at most0.25 grams?DiscussionsCoursesGradesGrounPeopleZoomHonorlockO Cannot be DeterminedProctoruON=250Panther Book PackON= 500COVID InformationON= 104ON= 180• Prevjaue

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Answered: You wish to estimate the average weight…

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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An IQ test is designed so that the mean is 100 and the standard deviation is 24 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 8 IQ points of the true mean. Assume tha σ=24 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.The required sample size is enter your response here. (Round up to the nearest integer.) Would it be reasonable to sample this number of students? Yes. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number. No.This number of IQ test scores is a fairly large number.
You measure 45 backpacks' weights, and find they have a mean weight of 37 ounces. Assume the population standard deviation is 3.5 ounces. Based on this, construct a 95% confidence interval for the true population mean backpack weight. Give your answers as decimals, to two places ± ounces
Prof. Gersch knows that the score on a standardized test is perfectly normal with unknown mean and a standard deviation of 50. He then takes a random sample of 25 tests and finds that the average of these is 200. How many exams should he sample so that the maximum margin of errorfor his 95% confidence interval is 10?: a. 98 b. 97 c. 100 d. 96 e. 10
A researcher collected sample data for 19 middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred milliliters) of 192.4, with a standard deviation of 8.2. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 90% confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit:
A doctor believes women have been getting taller. She knows that 10 years ago the average height of women in her city was 63 inches. The standard deviation is unknown. She randomly samples 8 women from the town and finds their average height to be 64.5 inches, the standard deviation was 6.5. state the hypotheses(H0 and H1) What is your conclusion based on α=0.052tail
A researcher collected sample data for 19 middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred milliliters) of 190.3, with a standard deviation of 9.5. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 95% confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit= Upper limit=
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Isabella wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 62 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 7.8 and a standard deviation of 1.3. What is the 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Assume the data is from a normally distributed population. Round answers to 3 decimal places where possible.
Helga is researching the IQ of a particular monkey species. She measured the IQ in 15 monkeys with a special monkey IQ test and it turned out to be 120 points on average. The standard deviation was 12 points. It can be assumed that the IQ follows a normal distribution. What is the upper limit of the 95% confidence interval for the average monkey species index?
Isabella wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 43 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 70. Assume the population standard deviation is 7.6. What is the 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Assume the data is from a normally distributed population. Round answers to 2 decimal places where possible.
You measure 33 backpacks' weights, and find they have a mean weight of 38 ounces. Assume the population standard deviation is 14.1 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight. Give your answers as decimals, to two places ± ounces
A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is x=920 and the sample standard deviation is s=25. Use Appendix D to find the values of student's t

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