An analyst from an energy research institute in California wishes to estimate the 99% confidence interval...
An analyst from an energy research institute in California wishes to estimate the 99% confidence interval for the average price of unleaded gasoline in the state. In particular, she does not want the sample mean to deviate from the population mean by more than $0.13. What is the minimum number of gas stations that she should include in her sample if she uses the standard deviation estimate of $0.35, as reported in the popular press? (You may find it useful to reference the z table. Round intermediate calculations to at least 4 decimal places and "z" value to 3 decimal places. Round up your answer to the nearest whole number.)
Homework Answers
We know that the 99% confidence interval for true mean is given
by: 
We want to find 'n' such that 
which is the required minimum sample size.
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An analyst from an energy research institute in California
wishes to estimate the 99% confidence interval...
An analyst from an energy research institute in California wishes to estimate the 99% confidence interval...
An analyst from an energy research institute in California wishes to estimate the 99% confidence interval for the average price of unleaded gasoline in the state. In particular, she does not want the sample mean to deviate from the population mean by more than $0.13. What is the minimum number of gas stations that she should include in her sample if she uses the standard deviation estimate of $0.35, as reported in the popular press?
An analyst from an energy research institute in California wishes to estimate the 85% confidence interval...
An analyst from an energy research institute in California wishes to estimate the 85% confidence interval for the average price of unleaded gasoline in the state. In particular, she does not want the sample mean to deviate from the population mean by more than $0.05. What is the minimum number of gas stations that she should include in her sample if she uses the standard deviation estimate of $0.31, as reported in the popular press?
a. An analyst from an energy research institute in California wishes to estimate the 95% confidence...
a. An analyst from an energy research institute in California wishes to estimate the 95% confidence interval for the average price of unleaded gasoline in the state. In particular, she does not want the sample mean to deviate from the population mean by more than $0.06. What is the minimum number of gas stations that she should include in her sample if she uses the standard deviation estimate of $0.35, as reported in the popular press? Round intermediate calculations to...
An economist would like to estimate the 99% confidence interval for the average real estate taxes...
An economist would like to estimate the 99% confidence interval for the average real estate taxes collected by a small town in California. In a prior analysis, the standard deviation of real estate taxes was reported as $1,520. [You may find it useful to reference the z table.] What is the minimum sample size required by the economist if he wants to restrict the margin of error to $660? (Round intermediate calculations to at least 4 decimal places and "z"...
A researcher wishes to estimate, with 99% confidence, the population proportion of a) No preliminary estimate...
A researcher wishes to estimate, with 99% confidence, the population proportion of a) No preliminary estimate is available Find the minimum b i F ind the minimum sapi·sue needed using a prior study that found that 32% of the respondents said they think their president c) Compare the results from parts (a) and (b) who think the president of their country can control the price of gasoline Her estimate must be accurate within 4% ofthe tw proportio control the price...
An economist would like to estimate the 95% confidence interval for the average real estate taxes...
An economist would like to estimate the 95% confidence interval for the average real estate taxes collected by a small town in California. In a prior analysis, the standard deviation of real estate taxes was reported as $1,590. [You may find it useful to reference the z table.] What is the minimum sample size required by the economist if he wants to restrict the margin of error to $430? (Round intermediate calculations to at least 4 decimal places and "z"...
Assume that a sample is used to estimate a population mean H. Find the 99% confidence...
Assume that a sample is used to estimate a population mean H. Find the 99% confidence interval for a sample of size 372 with a mean of 48.4 and a standard deviation of 16.1. Enter your answer as a tri-linear inequality accurate to 3 decimal places. << Question Help: Message instructor Submit Question A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 51 specimens and counts the number of seeds in each. Use...
Cellphone sales person wishes to find the 99% confidence interval estimate for the true number of...
Cellphone sales person wishes to find the 99% confidence interval estimate for the true number of customers who upgrade to a new plan each year. How large should their sample be if they wish to be within 5% of the true proportion?
Construct a 99% confidence interval to estimate the population mean using the data below. X =...
Construct a 99% confidence interval to estimate the population mean using the data below. X = 46 o = 12 n42 With 99% confidence, when n = 42 the population mean is between a lower limit of (Round to two decimal places as needed.) and an upper limit of Construct a 95% confidence interval to estimate the population mean with X = 102 and o = 25 for the following sample sizes. a) n = 32 b) n = 45...
Consider a population with a known standard deviation of 18.6. In order to compute an interval estimate for the populat...
Consider a population with a known standard deviation of 18.6. In order to compute an interval estimate for the population mean, a sample of 58 observations is drawn. [You may find it useful to reference the z table. a. Is the condition that X is normally distributed satisfied? Yes No b. Compute the margin of error at a 99% confidence level. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer...
A researcher wishes to estimate, with 99% confidence, the population proportion of a) No preliminary estimate is available Find the minimum b i F ind the minimum sapi·sue needed using a prior study that found that 32% of the respondents said they think their president c) Compare the results from parts (a) and (b) who think the president of their country can control the price of gasoline Her estimate must be accurate within 4% ofthe tw proportio control the price...
Assume that a sample is used to estimate a population mean H. Find the 99% confidence interval for a sample of size 372 with a mean of 48.4 and a standard deviation of 16.1. Enter your answer as a tri-linear inequality accurate to 3 decimal places. << Question Help: Message instructor Submit Question A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 51 specimens and counts the number of seeds in each. Use...
Construct a 99% confidence interval to estimate the population mean using the data below. X = 46 o = 12 n42 With 99% confidence, when n = 42 the population mean is between a lower limit of (Round to two decimal places as needed.) and an upper limit of Construct a 95% confidence interval to estimate the population mean with X = 102 and o = 25 for the following sample sizes. a) n = 32 b) n = 45...
Consider a population with a known standard deviation of 18.6. In order to compute an interval estimate for the population mean, a sample of 58 observations is drawn. [You may find it useful to reference the z table. a. Is the condition that X is normally distributed satisfied? Yes No b. Compute the margin of error at a 99% confidence level. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer...
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