Homework Answers
Student's t distribution is most appropriate, because the sample size n(=12) is small (n<30) so, the critical value used will be of exact sample test i.e. t-test. Also it is given that that the population is normally distributed and it's variance is known which is assumption of student's t-test so, for calculating the margin of error of mean one have to use student's t distribution.
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Considering the following scenario, which method would be most appropriate when calculating the margin of error...
Considering the following scenario, which method would be most appropriate when calculating the margin of error...
Considering the following scenario, which method would be most appropriate when calculating the margin of error for the population mean? A research scholar wants to estimate the mean per capita income in thousands) in a major city in South Carolina. She obtains information from 14 workers in the city and finds the mean to be 116. The population is assumed to be uniformly distributed Tables Keypad Answer O Normal -distribution O Student's I-distribution O More advanced statistical techniques
what is the margin of error and the confidence interval? Question Help In a random sample...
what is the margin of error and the confidence interval?
Question Help In a random sample of seven people, the mean driving distance to work was 24.7 miles and the standard deviation was 6.6 miles. Assuming the population is normally distributed and using the I-distribution, a 90% confidence interval for the population mean is (15.5, 33.9) (and the margin of error is 9.2). Through research, it has been found that the population standard deviation of driving distances to work is...
Which statement is false? The "plus four" method is used when estimating a population proportion to...
Which statement is false? The "plus four" method is used when estimating a population proportion to obtain a more accurate confidence interval. You can use Student's t distribution with both qualitative and quantitative data. The error bound for a population mean (EBM) is sometimes called the margin of error. When estimating a population mean, if the population standard deviation is unknown you should use Student's t distribution.
Calculate the margin of error and construct the confidence interval for the population mean using the...
Calculate the margin of error and construct the confidence interval for the population mean using the Student's t-distribution (you may assume the population data is normally distributed). T-Distribution Table a. x̄ =80.8, n=64, s=14.9, x̄ =80.8, n=64, s=14.9, 99% confidence E=E= Round to two decimal places if necessary < μ < < μ < Round to two decimal places if necessary b. x̄ =32.3, n=45, s=18, x̄ =32.3, n=45, s=18, 90% confidence E=E= Round to two decimal places if necessary < μ < < μ < Round to two decimal places if...
1. A survey conducted by the American Automobile Association (AAA) showed that a family of four...
1. A survey conducted by the American Automobile Association (AAA) showed that a family of four spends an average of $215.60 per day while on vacation. Suppose a sample of 28 families of four vacationing at Niagara Falls resulted in a sample mean of $252.45 per day and a sample standard deviation of $70.54 a. a. Develop a 98% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls. b. From your...
When estimating a population mean by a sample mean, the margin of error does NOT depend...
When estimating a population mean by a sample mean, the margin of error does NOT depend on ______. A) The confidence level B) The sample mean C) The sample size D) The population standard deviation What is the sampling distribution of a statistic? A) The distribution of observations of the statistic for all possible sizes of samples from a population B) The distribution of all possible observations of the statistic for samples of a given size from a population C)...
You would like to estimate the mean price of milk (per gallon) in your city. You...
You would like to estimate the mean price of milk (per gallon) in your city. You select a random sample of prices from different stores. The sample has a mean of 3.75 dollars and a standard deviation of 0.21 dollars. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and t refers to...
Solocting a distribution for inforences on the population mean Suppose that we want to estimate the number of holdi...
Solocting a distribution for inforences on the population mean Suppose that we want to estimate the number of holding penalties assessed during a college football game. The sample of games we pick has a mean of 3.4 penalties per game and a standard deviation of 0.7 penalties per game. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable...
When is unknown and the sample is of size n 230, there are two methods for...
When is unknown and the sample is of size n 230, there are two methods for computing confidence intervals for u. (Notice that, When is unknown and the sample is of size n<30, there is only one method for constructing a confidence interval for the mean by using the student's t distribution with d.f. = n - 1.) Method 1: Use the Student's t distribution with d.f. = n - 1. This is the method used in the text. It...
Suppose that we want to estimate the mean score on a nationwide examination in psychology, and...
Suppose that we want to estimate the mean score on a nationwide examination in psychology, and for this purpose we choose a random sample of exam scores The sample we choose has a mean of 516 and a standard deviation of 75 . For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean (In the table, Z refers to a variable having a standard normal distribution, and...
Considering the following scenario, which method would be most appropriate when calculating the margin of error for the population mean? A research scholar wants to estimate the mean per capita income in thousands) in a major city in South Carolina. She obtains information from 14 workers in the city and finds the mean to be 116. The population is assumed to be uniformly distributed Tables Keypad Answer O Normal -distribution O Student's I-distribution O More advanced statistical techniques
what is the margin of error and the confidence interval?
Question Help In a random sample of seven people, the mean driving distance to work was 24.7 miles and the standard deviation was 6.6 miles. Assuming the population is normally distributed and using the I-distribution, a 90% confidence interval for the population mean is (15.5, 33.9) (and the margin of error is 9.2). Through research, it has been found that the population standard deviation of driving distances to work is...
You would like to estimate the mean price of milk (per gallon) in your city. You select a random sample of prices from different stores. The sample has a mean of 3.75 dollars and a standard deviation of 0.21 dollars. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and t refers to...
Solocting a distribution for inforences on the population mean Suppose that we want to estimate the number of holding penalties assessed during a college football game. The sample of games we pick has a mean of 3.4 penalties per game and a standard deviation of 0.7 penalties per game. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable...
When is unknown and the sample is of size n 230, there are two methods for computing confidence intervals for u. (Notice that, When is unknown and the sample is of size n<30, there is only one method for constructing a confidence interval for the mean by using the student's t distribution with d.f. = n - 1.) Method 1: Use the Student's t distribution with d.f. = n - 1. This is the method used in the text. It...
Suppose that we want to estimate the mean score on a nationwide examination in psychology, and for this purpose we choose a random sample of exam scores The sample we choose has a mean of 516 and a standard deviation of 75 . For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean (In the table, Z refers to a variable having a standard normal distribution, and...
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