An advertising executive wants to estimate the mean weekly amount of time consumers spend watching traditional television daily. Based on previous studies, the standard deviation is assumed to be 27 minutes. The executive wants to estimate, with 99% confidence, the mean weekly amount of time to within ± 4 minutes.a. What sample size is needed?b. If 95% confidence is desired, how many consumers need to be selected?---a. The sample size required for 99% confidence is [text box].(Round up to the nearest integer.)

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Answered: An advertising executive 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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The points scored by teams in the first round of the Statistics Games have a mean of 135 points and a standard deviation of 27 points. A random sample of 36 teams is taken. What is the mean and standard deviation of the sampling distribution of sample means? A The mean is 22.5, and the standard deviation is 4.5. B. The mean is 22.5, and the standard deviation is 27. C. The mean is 135, and the standard deviation is 4.5. D. The mean is 135, and the standard deviation is 27.
In a metal fabrication process, metal rods are produced that have an average length of 20.5meters with a standard deviation of 2.3 meters. A quality control specialist collects a randomsample of 30 rods and measures their lengths.a. Describe the sampling distribution of the sample mean by naming the model andtelling its mean and standard deviation.b. Suppose the resulting sample mean is 19.5 meters. Do you think that this sampleresult is unusually small? Explain.
2. The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222milligrams per deciliter (mg/dl) and standard deviation 37 mg/dl. A random sample of 58individuals will be collected and the sample mean cholesterol level will be computed. a. What is the mean of the sample mean? b. What is the standard deviation of the sample mean?
1. According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. a. Find the proportion of men who sleep for more than 8 hours per night. b. Find the proportion of men who sleep for less than 6 hours per night. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
The p hat =0.25, proportion standard deviation=0.065, and z=1.960. 34. What is the size of the sampling proportion?* A. small B. large C. both small and large D. cannot be determined
An auditor, examining a total of 820 accounts receivable of a corporation, took a random sample of 90 of them. The sample mean was $126.99, and the sample standard deviation was $44.21. Complete parts a through e. a. Using an unbiased estimation procedure, find an estimate of the population mean. An estimate of the population mean is $126.99. (Round to the nearest cent as needed.) b. Using an unbiased estimation procedure, find an estimate of the variance of the sample mean. An estimate of the variance of the sample mean is 19.357. (Round to three decimal places as needed.) c. Find a 90% confidence interval for the population mean. $119.68 <<$ 134.30 (Round to the nearest cent as needed.) d. A statistician found, for the population mean, a confidence interval running from $116.99 to $136.99. What is the probability content of this interval? The probability content is (Round to four decimal places as needed.)
A student in public administration wants to determine the mean amount members of city councils in large cities earn per month as remuneration for being a council member. The error in estimating the mean is to be less than $120 with a 95 percent level of confidence. The student found a report by the Department of Labor that estimated the standard deviation to be $900. What is the required sample size?
A recent survey of students at Regina Mundi College included a question about the number of school days each student had missed due to illness during one semester. The data are summarized below. For this data set, find Number of Frequency of days missed occurence 20 1 27 2 28 3 15 4 (a) the sample mean, (b) the sample median, and (c) the sample standard deviation.
An economist would like to estimate the mean amount of money that a family spends towithin $35. If the amount spent by a family is considered to be normally distributed withstandard deviation $261, what sample size would be necessary to be 91% confident?
The providence health maintenance organization wants to establish a criterion for recommending dietary changes if cholesterol levels are in the top 3%. What is the cutoff level for men aged 18 to 24 and the mean is 178.1 and the standard deviation is 40.7
Imagine the mean women’s foot size is a 7.5 with standard deviations of 1.5. a. What percentage of women have a foot size larger than 10? b. If you select 30 people at random is it likely that any of them will have a foot size larger than 10? If so, how many?
A survey of 64 randomly selected homeowners find that they spend a mean of $62 per month on home maintenance. Construct a 90% competitive interval for the mean amount of money spent per month on home maintenance by all homeowners. Assume that the population standard deviation is $14 per month. Round to the nearest cent

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