find the point estimate ?̂ p^ and the margin of error ?.E.
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Use the given confidence interval limits to find the point estimate ?̂ p^ and the margin of error ?.E.
0.19<?<0.330.19<p<0.33
?̂ =p^= ?=E=
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- The mean diastolic blood pressure for a random sample of 70 people was 96 millimeters of mercury. If the standard deviation of individual blood pressure readings is known to be 11 millimeters of mercury, find a 90% confidence interval for the true meandiastolic blood pressure of all people. Then give its lower limit and upper limit.The new management team of a company with 200 staff members wants to knowthe efficiency of its staff members. They randomly select 50 staff members and observe themfor a period of time and note that their daily average working hour is 7 hours. If previousresearch in the field of Human Resources show that the standard deviation of the number ofhours that people work is half an hour, construct a 95% confidence interval for the averagenumber of hours that the companies staff member work per day. Please include confidence interval formula that you use for your calculationsWhat is the positive t-value for a confidence interval for the population mean with a sample size of 30 at a 90% confidence level? Express with 3 decimals
- A random sample of 51 pieces of rope was tested under similar conditions and result showed a mean tensile strength of 82.4 kilograms with a standard deviation of 6.9 kilograms. Establish the 95% confidence interval. What is the margin error, the lower limit, and upper limit? If the required tensile strength for ropes is 80 kilograms, would you recommend this type of rope? Explain.Find B and C: confidence interval estimate and p-valueWe surveyed a random sample of 15 domestic violence victims in Columbus, GA. who used the 911. From the sample response time from calling to police arrival was 8.5 minutes on average with a standard deviation of 2.7 minutes. From the estimaiton of the population mean of the arrival time with a 99% confidence interval, what is the upper limit?
- A sample of 25 pieces of laminate used in the manufacture of circuit boards was chosen, and the amount of warpage (inches) under particular conditions was determined for each piece. This resulted in a sample mean warpage of 0.0635 inches and a sample standard deviation of 0.0065 inches. Assume that the population is normally distributed, and find a 95% confidence interval for the true unknown mean. Given the information in this situation, what equation for the interval estimate endpoints will you need to use for this problem? Also, why did you choose that equation? (In other words, what assumptions can you make?) Compute a 95% confidence interval for the true unknown mean.The life span of a 30-watt LED light is known to be normally distributed with standard deviation = 20 hours. A random sample of 20 LED light has a mean life of 1020 hours. Compare the 90% confidence lower bound of this confidence internal with a two-sided confidence interval. Which standardnormal curve applies to the 90% confidence level?After a polution event in an estuary, we want to estimate proportion of shell fish that are impacted by the pollution in the water. What sample size do we need to ensure our 95% confidence interval is no more than +/-0.04 given no information on the likely level of the proportion?
- A researcher has collected the blood samples of 29 individuals and found that the mean hemoglobin concentration for the sample of individuals is 13.9 grams per deciliter and the standard deviation is 1.43 grams per deciliter. Calculated a 95% confidence interval for the mean hemoglobin concentration for the population.An advertising agency that manages a major radio station wants to estimate the mean amount of time that the station’s audience spends listening to the radio on a daily basis. From past studies, the standard deviation is assumed to be 20 minutes. What sample size is needed if the agency wants to have a 95% confidence interval with a margin of error equal to 5 minutes?A candle company wishes to estimate the time it takes their candles to completely burn. They choose 23 candles at random from their latest production run and measure how long each takes to burn. The average time of this sample is 264 minutes with a standard deviation of 25 minutes. If the company uses a 99% confidence interval to measure the average burn time of all candles in this production run, what will their margin of error be? please show work!