11. Šuppose that a researcher wants to estimate the percentage of allstudents whose CGPA is above 3.25.(a) If it can be presumed that the sample proportion (from apreliminary sample) is 0.73 and the maximum error that can betaken is 0.026, at 96.5% confidence level could you estimate theapproximate sample size?(b) What is the approximate sample size for (a), if preliminarysample is not being considered?

Given that Proportion p = 0.73 Margin of error E = 0.026 The critical value of Z at 96.5% confidence…

Answered: Suppose that a researcher wants to…

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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Suppose that the population standard deviation of student scores is 20. What will be the sample size so that the resulting 90% confidence interval for the population mean score has a margin of error no larger than 4?
Suppose that the population standard deviation of a student's score is 20. Choose a sample size so that the resulting 95% confidence interval for the population mean score has a margin of error no larger than 5.
3.To obtain an estimate of the proportion of ‘full time’ university students who have a part time job in excess of 20 hours per week, the student union decides to interview a random sample of full time students. They want the length of their 95% confidence interval to be no greater than 0.1. and assume variance is equal to 4. What size sample, n should be taken?
1 Suppose that the average time spent per day with digital media several years ago was 3 hours and 22 minutes. For last year, a random sample of 20 adults in a certain region spent the numbers of hours per day with digital media given in the accompanying table. Preliminary data analyses indicate that the t-interval procedure can reasonably be applied. Find and interpret a 90% confidence interval for last year's mean time spent per day with digital media by adults of the region. (Note: x=5.88hr and s=2.27hr.) The 90% confidence interval is from ( ? ) hour(s) to ( ? )hour(s). Interpret the 90% confidence interval. Select all that apply. A. There is a 90% chance that the mean amount of time spent per day on digital media last year by all adults in the region is between the interval's bounds. B.With 90% confidence, the mean amount of time spent per day on digital media last year by all adults in the region is between the interval's bounds. C.90% of all…
2. In a length of hospitalization study conducted by several cooperating hospitals, a random sample of 64 peptic ulcer patients was drawn from a list of all peptic ulcer patients ever admitted to the participating hospitals and the length of hospitalization per admission was determined for each. The mean length of hospitalization was found to be 8.25 days. The population standard deviation is known to be 3 days. Calculate a 95% confidence interval for the population mean, and explain the interpretation of this interval.
Suppose we need to estimate the mean age of Douglas College students to a higher degree of precision than in the pilot study of Question 11. Using the pilot study’s value s = 3.2014 as our estimate of the population standard deviation σ, what is the sample size required to obtain a margin of error of 0.1 years, at the 95% confidence level?
If we have a sample of size 100 with sample mean breaking strength of 1050 pounds from a population of rope with standard deviation 200 pounds and we wish to run a hypothesis test with this data to see if the population mean breaking strength differs from 1000 pounds, what is the P-Value of our data?
Suppose that for a random sample of 200 firms that revalued their fixed assets, the mean ratio of debt to tangible assets was 0.517 and the sample standard deviation was 0.148. For an independent random sample of 400 firms that did not revalue their fixed assets, the mean ratio of debt to tangible assets was 0.489 and the sample standard deviation was 0.158. Find a 99% confidence interval for the difference between the two population means.
A brochure inviting subscriptions for a new diet program states that the participants areexpected to lose over 27 pounds in five weeks. Suppose that, from the data of the five-weekweight losses of 65 participants, the sample mean and sample standard deviation are found tobe 21.5 and 3.4, respectively. Could the statement in the brochure be substantiated on thebasis of these findings? Test at the α = .01 level. Give detailed explanation with solution.
The campus wellness center wants to estimate the proportion of students that are getting at least 7 hours of sleep every night during finals week, and they require an estimate with 99% confidence and an error margin of no more than 0.05. (a) If a similar survey from last year showed that p̂ = 0.38, what is the minimal number of students that must be surveyed this year? (b) If the center decides their data from last year is not comparable to this year due to the circumstances of online final exams, and so has no prior information regarding p̂, what is the minimal sample size needed?
2.A researcher is interested in the decrease in adolescent BMI after a new after school program isimplemented to promote exercise in children. Suppose the researcher wants to collect a SRS ofchildren from the program in order to evaluate their loss in BMI. If the population standarddeviation is 4.87 kg/m2, and the researcher wants to capture the mean BMI within 4 kg/m2, howmany children should he sample to attain 95% confidence?
Suppose that the pulse rates of adult males vary from a low of 35 bpm to a high of 115 bpm. Assume that we want 90% confidence that the sample mean is within 3 bpm of the population mean. Find the minimum sample size required to estimate the mean pulse rate of adult males.

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