Given that the population standard deviation is o = 1, determine the minimum sample size needed in order to estimate the population mean so that the margin of error is E = .2 at 95% level of confidence.
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- Assume that a sample is used to estimate a population proportion μ. Find the margin of error M.E. that corresponds to a sample of size 75 with a mean of 32.7 and a standard deviation of 18.8 at a confidence level of 99%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.Assume that a sample is used to estimate a population proportion μ. Find the margin of error M.E. that corresponds to a sample of size 709 with a mean of 42.1 and a standard deviation of 17.5 at a confidence level of 90%. Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.An iq test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ scores of statistics students such that it can be said with 95% confidence that the sample mean is within 4 IQ points of the true mean. Assume that the population standard deviation is 21 and determine the required sample size using technology. Then determined if this is a reasonable sample size for a real world calculation.
- What is the minimum sample size required to estimate the population mean (mu) with 90% confidence if the desired margin of error is 1.2? The population standard deviation is estimated as 3.5.Determine the sample size necessary to estimate a population mean within 1 with 90% confidence given that the population standard deviation is 10.Given that the population standard deviation is 1, determine the minimum sample size needed in order to estimate the population mean so that the margin of error, E =0.3 at 95% confidence level.
- A nutritionist wants to estimate the mean amount of cholesterol in a certain variety of chicken eggs. She wants to be within 10mg with 99% confidence. Given that the standard deviation σ=25mg, what is the minimum sample size of eggs that she should use?The pulse rates of 215 randomly selected adult males vary from a low of 33bpm to a high of 121 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 99% confidence that the sample mean is within 5 bpm of the population mean.The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 72 hours. A random sample of 36 light bulbs indicated a sample mean life of 230 hours. Complete parts (a) through (d) below. a. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment. The 95% confidence interval estimate is from a lower limit of hours to an upper limit of hours. (Round to one decimal place as needed.) b. Do you think that the manufacturer has the right to state that the lightbulbs have a mean life of 280 hours? Explain. Based on the sample data, the manufacturer V the right to state that the lightbulbs have a mean life of 280 hours. A mean of 280 hours is V standard errors the sample mean, so it is that the lightbulbs have a mean life of 280 hours. c. Must you assume that the population light bulb life is normally distributed? Explain. O A. Yes, the sample size is not large…
- A simple random sample from a population with a normal distribution of 106 body temperatures has a sample mean of 98.40 degrees F. and s=0.67 degrees F.Construct a 90% confidence interval estimate of the standard deviation of the body temperature of all healthy humans.The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 108 hours. A random sample of 64 light bulbs indicated a sample mean life of 370 hours. Complete parts (a) through (d) below. a. Construct a 99% confidence interval estimate for the population mean life of light bulbs in this shipment. The 99% confidence interval estimate is from a lower limit of hours to an upper limit of hours. (Round to one decimal place as needed.) b. Do you think that the manufacturer has the right to state that the lightbulbs have a mean e of 430 hours? Explain. Based on the sample data, the manufacturer V the right to state that the lightbulbs have a mean life of 430 hours. A mean of 430 hours is V standard errors V the sample mean, so it is V that the lightbulbs have a mean life of 430 hours. c. Must you assume that the population light bulb life is normally distributed? Explain. O A. No, since o is known, the…In a population of interest, we find the standard deviation to be 25. We want to calculate the minimum required sample size using the 80% confidence level and a maximum allowable error of 3. What would the minimum allowable sample size need to be?