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?

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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

3. A study in Men's Health magazine stated that 14% of men said they used exercise to reduce stress. Use a = 0.10. A random sample of 100 men was selected and 10 said they used exercise. Does the sample support the claim made by the magazine?
Suppose that random samples of size 36 are repeatedly drawn from a populationwith mean 28 and standard deviation 9. Describe the sampling distribution of X¯. NOTE: Please explain each part, so the problem can be used as a Study Guide
What proportion of the distribution of sample means is greater than a z of -1
ome of the Hope Squad at Syracuse JHS work as volunteers at a homeless shelter. The table shows the number of hours the students volunteered during May Hours Worked 10 9 11 8 13 11 17 10 14 10 11 Volunteer Sam Alicia Pat Cam Erin Mike Jewel Andrew Pete Zach Tom a) Find the 5-number summary and IQR of the data. Min Q1 Med Q3 Max IQR b) Use the information in your 5-number summary to determine if there are outliers. If no outliers exist, use DNE. Lower fence Upper fence Outlier(s)
12.A sample of n = 16 scores has a mean of M = 65 and an estimated standard error of 2 points. What is the sample variance? s2 = 64 c. s2 = 16 а. b. s2 = 36 d.s? = 4
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.
4. The variance of a data set is 3410.56. Find the standard deviation for the data set. This ample of
15. The Exotic Fruit Juice Co. sell cartons of Passion Fruit and Orange fruit juice. The amount of liquid in each carton is normally distributed with a mean of 266ml and a standard deviation of 20ml. Cartons containing more than 300ml produce no profit. What percentage of cartons will this be?
10. The mean value of 130 observations is 17 and with variance equal to 0.98. Find 90% confidence interval of the population mean value.
19. Assume that the sample has been randomly selected from a population that has a normal distribution. The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a standard deviation of 14.3. Use a significance level of 0.01 to test the teacher's claim. Show work.
After the measles outbreak, the barangay captain of Big Rock wanted to assess the satisfaction of the residents to his actions during the outbreak. He then obtained a random sample of 5 residents per block (Block 1 to Block 5) and asked them their satisfaction (1 - very dissatisfied, 2 - dissatisfied, 3 - satisfied, 4 - very satisfied). He wanted to know if the satisfaction of his residents differ from across blocks. 1. TRUE OR FALSE: We should test the normality of responses per blocks before we proceed with the test of hypothesis on comparing these responses across blocks. 2. The appropriate alternative hypothesis to compare satisfaction of residents across blocks is ____. ( See image for choices) 3. The appropriate test procedure to test the hypothesis is ___. A. T-test B. Z-test C. F-test using ANOVA D. Kruskal-Wallis Test E. None of the above