An insurance company is trying to estimate the average number of sick days that fulltime food service workers use per year. A pilot study found the population standard deviation to be 2.5 days. How large a sample must be selected if the company wants to be 95% confident of getting an interval that contains the true mean with a margin of error of 2 days?

An insurance company is trying to estimate the average number of sick days that fulltime food service workers use per year. A pilot study found the population standard deviation to be 2.5 days. How large a sample must be selected if the company wants to be 95% confident of getting an interval that contains the true mean with a margin of error of 2 days?

Name: An insurance company is trying to estimate the average number of sick
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: An insurance company is trying to estimate the average number of sick days that fulltime food service workers use per year. A pilot study found the population standard deviation to be 2.5 days. How large a sample must be selected if the company wants

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

A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what percentage of students spend less than 12 hours in class?
A test score of 36 has an equivalent standard score (z-score) of -2.4. If the standard deviation is 4, what is the mean test score?
The General Social Survey polled a sample of 1056 adults in the year 2015, asking them how many hours per week they spent on social media. The sample mean was 4.52 hours with a standard deviation of 3.61 hours. The survey was polled again in the year 2019, a sample of 2048 adults has the sample mean of 5.28 with a standard deviation of 4.36. Can we conclude that the mean number of hours per week spent on social media increased between 2015 and 2019?
When a distribution is bell-shaped, approximately what percentage of data values fall within 1 standard deviation of the mean?
A vending machine is designed to dispense a mean of 7.4 oz of coffee into an 8-oz cup. If the standard deviation of the amount of coffee dispensed is 0.4 oz and the amount is normally distributed, find the percent of times the machine will dispense less than 7.44 oz
An advertising agency that serves a job radio station wants to estimate the mean amount of time that the station's audience spends listening to the radio daily. From past studies, the standard deviation is estimated as 45 minutes. What sample size is needed if the agency wants to be 90% confident of being correct to within +/-5 minutes?
A study compared the weight loss of people on a low-fat diet versus people on a low-carb diet. In a sample of 100 obese people on a low-fat diet the sample mean weight loss as 7.6 pounds with a standard deviation of 3.2 pounds. In another sample of 120 obese people on a low-carb diet the sample mean weight loss was 6.7 pounds with a standard deviation of 3.9 pounds. Write down all formulas and state the hypothesisa) Test the hypothesis, at the 5% level of significance, that there is a difference in the mean weightloss of using the 2 different diets. b) What is the p-value?
A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 16 minutes. How large a sample should she take to estimate the mean time to within 5 minutes with 90% confidence? Sample Size =
A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 25 minutes. How large a sample should she take to estimate the mean time to within 5 minutes with 97% confidence? Sample Size =
The distribution for the time a patient of a medical center spends waiting for an appointment is normal with mean of 35 minutes and standard deviation of 12 minutes. What proportion of patients will wait more than 47 minutes for an appointment?
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 the population of weight loss is about 8 pounds. How large a sample should he take to estimate the mean weight loss to within 4 pounds, with 97% confidence? Sample Size =
If corn has a normally distributed yield with a mean of 120 bushels per acre and a standard deviation of 10 bushels, find the percentage of acres that will fall over 108 bushels.