The ambulance service wants to determine the proportion of
call-outs that are life-threatening emergencies. A random sample
was taken from its files, and it was found that only 73 of 170
calls were life-threatening emergencies. Construct a 95% confidence interval for the true proportion of call-outs that are life-threatening emergencies, using the large sample confidence interval formula.
Your answers can be rounded to three decimal digit accuracy when entered. |
The ambulance service wants to determine the proportion of call-outs that are life-threatening emergencies. A random...
An alcohol distillation column historically produces yields that are normally distributed and are known to have a standard deviation of 3.05 volume percent. Find the minimum sample size required to estimate the true mean yield to within ± 1.75 volume percent using a 99% confidence interval. zα 1.282 1.645 1.960 2.326 2.576 3.090 α(tail area) 0.1 0.05 0.025 0.01 0.005 0.001 %ile 90 95 97.5 99 99.5 99.9 Sample size is =
The target diameter of bolts from a production line is 8mm. Historically the bolt diameters are normally distributed with a standard deviation of 0.05mm. To monitor this process periodically an engineer takes a random sample of 4 measurements. Let µ be the true average bolt diameter. The rejection region is: Find the minimum value of c that yields a test with significance 0.05? zα 1.282 1.645 1.960 2.326 2.576 3.090 α(tail area) 0.1 0.05 0.025 0.01 0.005 0.001 %ile...
The target diameter of bolts from a production line is 12mm. Historically the bolt diameters are normally distributed with a standard deviation of 0.1mm. To monitor this process periodically an engineer takes a random sample of 5 measurements. Let µ be the true average bolt diameter. The rejection region is: Find the minimum value of c that yields a test with significance 0.01? zα 1.282 1.645 1.960 2.326 2.576 3.090 α(tail area) 0.1 0.05 0.025 0.01 0.005 0.001 %ile 90...
The target diameter of bolts from a production line is 10mm. Historically the bolt diameters are normally distributed with a standard deviation of 0.15mm. To monitor this process periodically an engineer takes a random sample of 6 measurements. Let µ be the true average bolt diameter. The rejection region is: Find the minimum value of c that yields a test with significance 0.01? zα 1.282 1.645 1.960 2.326 2.576 3.090 α(tail area) 0.1 0.05 0.025 0.01 0.005 0.001 %ile...
A stock's returns are normally distributed with a mean of 8% pa and a standard deviation of 15 percentage points pa. What is the 99% confidence interval of returns over the next year? Note that the Z-statistic corresponding to a one-tail: • 90% normal probability density function is 1.282. • 95% normal probability density function is 1.645. • 97.5% normal probability density function is 1.960. • 99% normal probability density function is 2.326. • 99.5% normal probability density function is...
Use the following information for the next five questions: Let the random variable p indicate the population proportion of US households who are dog owners. In a sample of 100 households you find the sample proportion of families who own dogs to be =0.40 Construct a 95% confidence interval for , the true proportion of households who own a dog. [.319 , .481] [.304 , .496] [.312 , .492] [.395 , .405] Use the following information along with the information above...
Week 6 Assignment: Estimating Sample Size for a Population Proportion Question Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. How many customers should the company survey in order to be 95% confident that the estimated (sample) proportion is within 2 percentage points of the true population proportion of customers who keep up with regular vehicle maintenance? 20.10 20.05 0.025 0.01 0.005 1.282 1.645 1.960 2.326 2.576 Use the...
(1 point) A. Determine the sample size required to estimate a population proportion to within 0.032 with 99% confidence, assuming that you have no knowledge of the approximate value of the sample proportion. Sample Size = B. Repeat the previous problem, but now with the knowledge that a prior study found a sample proportion of approximately 0.33. Sample Size = Note: The table in Sullivan that gives values for ??/2zα/2 is not accurate. Make sure to use the following values...
Suppose the manager of a shoe store wants to determine the current percentage of customers who are males. How many customers should the manager survey in order to be 95% confident that the estimated (sample) proportion is within 10 percentage points of the true population proportion of customers who are males? z0.10:1.282 z0.05: 1.645 z0.04: 1.751 z0.025: 1.960 z0.01: 2.326 z0.005: 2.576 Use the table of values above. Provide your answer below:
Your last submission is used for 1. -/54 POINTS MY NOTES 0.674 0.841 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.091 3.291 confid. 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% Please use the z.chart and confidence row provided on my website to answer all questions. https://www.albany.edu/%7E|r853689/normaldistribution neg grid.htm https://www.albany.edu/%7Ejr853689/normaldistribution zpos grid.htm In a simple random of 400 of Deadpool fights, Deadpool breaks the Fourth Wall in 225 of them . A 99.9% confidence interval...