Homework Answers
Confidence Interval inference procedure indicates that inference is appropriate.
Hypothesis testing is a procedure of using sample data to draw conclusions about the characteristics of tbhe population. Hypothesis testing limits the user by accpeting or rejecting the hypothesis while a confidence interval also functions as a hypothesis testing and besides provide the additional information on the variabiity of the observed sample statistic and also tells us the accuracy of the sample from where it is drawn. Confidence interval tells us about the range of values thats expected to contain the value of a population parameter with a specified level of confidene.
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QUESTION 7 A sample of online skateboard prices is used to estimate the average price for...
Suppose that Randy is an analyst for the bicyling industry and wants to estimate the asking...
Suppose that Randy is an analyst for the bicyling industry and wants to estimate the asking price of used entry-level road hikes advertised online in the southeastern part of the United States. He obtains a random sample of 13 online advertisements of entry level road bikes. He determines that the mean price for these 13 hikes is =5681.87 and that the sample standard deviation is s = $177.45. He uses this information to construct a 99% confidence interval for p,...
Long answer question [7 marks] The university would like to conduct a study to estimate the...
Long answer question [7 marks] The university would like to conduct a study to estimate the true proportion of all university students who have student loans. According to the study, in a random sample of 215 university students, 86 have student loans. (a) Construct a 95% confidence interval for estimating the true proportion of all university students who have student loans (2 marks) (b) Provide an interpretation of the confidence interval in part (a). (1mark) (c) Conduct an appropriate hypothesis...
The STAT 200 course coordinator wants to estimate the proportion of all online STAT 200 students...
The STAT 200 course coordinator wants to estimate the proportion of all online STAT 200 students who utilize Penn State Learning’s online tutoring services by either attending a live session or viewing recordings of sessions. In a survey of 80 students during the Fall 2018 semester, 29 had utilized their services. She used bootstrapping methods to construct a 95% confidence interval for the population proportion of [0.263, 0.475]. Use this information to answer the following questions. Supposed the coordinator decides...
Suppose that we want to estimate the population average price μ for the grapes per pound....
Suppose that we want to estimate the population average price μ for the grapes per pound. Assume that the price per pound follows the normal distribution. (a). If for a random sample of grape prices obtained from 20 different stores, the sample average price X-bar = $ 1.33 with a sample standard deviation (price) s = $ 0.30 then construct a 95 % confidence interval for μ . (5 points) (b). If the average price obtained from 50 different stores...
QUESTION 2 Assume that a sample is used to estimate a population proportion p. Find the...
QUESTION 2 Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. In a clinical test with 2400 subjects, 720 showed improvement from the treatment. Find the margin of error for the 99% confidence interval used to estimate the population proportion. 0.0210 0.0137 0.0183 0.0240
A travel website would like to estimate the difference between the average rental price of a...
A travel website would like to estimate the difference between the average rental price of a car with automatic transmission versus the average rental price of a car with manual transmission at a certain airport. The table below shows the average one-week rental prices for two random samples, as well as the population standard deviations and sample sizes for each type of car. Complete parts a and b. Sample mean Sample size Population standard deviation Automatic $417.50 55 $24 Manual...
1. A ___________ is a statistical interval around a point estimate that we can provide a...
1. A ___________ is a statistical interval around a point estimate that we can provide a level of confidence to for capturing the true population parameter. population parameter confidence level point estimate confidence interval standard error of the mean 2. Which of the following best describe the standard error of the mean? It is the difference between an observed sample mean and the true population mean It is the statistical interval that provides a level of confidence around an observed...
Question 9 20 pts Assume that a sample is used to estimate a population proportion p....
Question 9 20 pts Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 95% confidence; n = 396 x = 48 Question 10 20 pts Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Of 150 adults selected randomly from one town, 30...
A random sample of 49 observations is used to estimate the population variance. The sample mean a...
A random sample of 49 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 59 and 3.1, respectively. Assume that the population is normally distributed. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Construct the 90% interval estimate for the population variance. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval b. Construct the...
The prices (in dollars) for a graphing calculator are shown below for 8 online vendors. Estimate...
The prices (in dollars) for a graphing calculator are shown below for 8 online vendors. Estimate the true mean price for this particular calculator with 95% confidence. 148 143 158 127 133 124 144 152 O 137.6 < < 144.7 O 131.0< < 151.2 O 133.0<x< 149.2 O 126.2 < < 156.1 Moving to another question will save this response
Suppose that Randy is an analyst for the bicyling industry and wants to estimate the asking price of used entry-level road hikes advertised online in the southeastern part of the United States. He obtains a random sample of 13 online advertisements of entry level road bikes. He determines that the mean price for these 13 hikes is =5681.87 and that the sample standard deviation is s = $177.45. He uses this information to construct a 99% confidence interval for p,...
Long answer question [7 marks] The university would like to conduct a study to estimate the true proportion of all university students who have student loans. According to the study, in a random sample of 215 university students, 86 have student loans. (a) Construct a 95% confidence interval for estimating the true proportion of all university students who have student loans (2 marks) (b) Provide an interpretation of the confidence interval in part (a). (1mark) (c) Conduct an appropriate hypothesis...
Question 9 20 pts Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 95% confidence; n = 396 x = 48 Question 10 20 pts Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Of 150 adults selected randomly from one town, 30...
A random sample of 49 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 59 and 3.1, respectively. Assume that the population is normally distributed. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Construct the 90% interval estimate for the population variance. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval b. Construct the...
The prices (in dollars) for a graphing calculator are shown below for 8 online vendors. Estimate the true mean price for this particular calculator with 95% confidence. 148 143 158 127 133 124 144 152 O 137.6 < < 144.7 O 131.0< < 151.2 O 133.0<x< 149.2 O 126.2 < < 156.1 Moving to another question will save this response
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