Question

In: Statistics and Probability

You want to estimate the mean weight of quarters in circulation. A sample of 40 quarters...

You want to estimate the mean weight of quarters in circulation. A sample of 40 quarters has a mean weight of 5.678 grams and a standard deviation of 0.063 gram. Use a single value to estimate the mean weight of all quarters.​ Also, find the​ 95% confidence interval for the average weight of all quarters

Solutions

Expert Solution

We have given that,          
          
Sample mean =5.678 grams   
Sample standard deviation = 0.063 grams
Sample size =40  
Level of significance=1-0.95=0.05  
Degree of freedom =39  
          
t critical value is (by using t table)=   2.023  
          
Confidence interval formula is           


=(5.6578,5.6982)      
          
          
Lower confidence limit=5.658 grams      
          
Upper confidence limit=   5.698 grams


Related Solutions

You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters...
You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters has a mean weight of 5.643 grams and a standard deviation of 0.065 grams. Use a single value to estimate the mean weight of all quarters.​ Also, find the​ 95% confidence interval for the average weight of all quarters. Q- The mean weight of all quarters is approximately ? grams Q- The lower limit of the​ 95% confidence interval is ? Q- The upper...
You want to obtain a sample to estimate a population mean. Based on previous evidence, you...
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ = 55.8 σ = 55.8 . You would like to be 95% confident that your estimate is within 10 of the true population mean. How large of a sample size is required?
You want to obtain a sample to estimate a population mean. Based on previous evidence, you...
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=58.2σ=58.2. You would like to be 95% confident that your estimate is within 2 of the true population mean. How large of a sample size is required? Use a z* value accurate to TWO places for this problem. (Not z = 2)
1.   How large of a sample is required if we want to estimate the mean price...
1.   How large of a sample is required if we want to estimate the mean price of a five year old Corvette within +/- $500 with 90% confidence if the standard deviation is known to be $3100. 2.   Several factors are involved when creating confidence intervals, such as sample size, the level of confidence and margin of error. Which of the following statements are true. a.   For a given sample size, reducing the margin of error will mean lower confidence....
Assume that you want to test the hypothesis that the mean weight of the male student...
Assume that you want to test the hypothesis that the mean weight of the male student population is 160 lbs. If we assume that the standard deviation has a known value of 12 lbs and we want to test with a confidence level of 95%. a) What sample size should we use if we want one to have a probability of making a type II error of no more than 5% in the test when the actual mean is 163...
You want to obtain a sample to estimate a population proportion. At this point in time,...
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. At this point in time,...
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 98% confident that you estimate is within 3% of the true population proportion. How large of a sample size is required? Do not round mid-calculation. n =
You want to obtain a sample to estimate a population proportion. At this point in time,...
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 3.5% of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. At this point in time,...
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99% confident that you esimate is within 5% of the true population proportion. How large of a sample size is required? n = ?
You want to obtain a sample to estimate a population proportion. At this point in time,...
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required? n= ____
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT