Given that the population standard deviation is σ = 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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Given that the population standard deviation is σ = 1, determine the minimum
Solution
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Refer Standard normal table/Z-table OR use excel function "=NORM.S.INV((1-0.05))" to find the critical value of z.
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- Find the error bound for an unknown population mean or the margin of error that corresponds to a 85% confidence level with a sample of n =33 and the sample standard deviation of 16.Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 87th percentile.An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 7 IQ points of the true mean. Assume that o = 18 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.)
- Assume that a sample is used to estimate a population mean μμ. Find the margin of error M.E. that corresponds to a sample of size 22 with a mean of 18.9 and a standard deviation of 14.6 at a confidence level of 99.9%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy.In a random sample of twelvetwelve people, the mean driving distance to work was 24.624.6 miles and the standard deviation was 4.54.5 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 9999% confidence interval for the population mean muμ. Interpret the results.An IQ test is designed so that the mean is 100 and the standard deviation is 13 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 6 IQ points of the true mean. Assume that o = 13 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. ..... The required sample size is. (Round up to the nearest integer.)
- Assume that a sample is used to estimate a population mean μμ. Find the 95% confidence interval for a sample of size 63 with a mean of 49.8 and a standard deviation of 5.5. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places.Use the margin of error of 5, confidence level of 98%, and o=30, find the minimum sample size required to estimate a normal distribution population mean µ.An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 2 IQ points of the true mean. Assume that o = 10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.) Enter your answer in the answer box and then click Check Answer. ? 1 part remaining Check Answer 1 Clear All
- Assume that a sample is used to estimate a population proportion μμ. Find the margin of error M.E.that corresponds to a sample of size 84 with a mean of 79.2 and a standard deviation of 6.1 at a confidence level of 99.9%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy.Assume that a sample is used to estimate a population mean μ. Find the margin of error M.E. that corresponds to a sample of size 22 with a mean of 62.5 and a standard deviation of 9.6 at a confidence level of 80%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. =Assume that a sample is used to estimate a population mean μμ. Find the margin of error that corresponds to a sample of size 16 with a mean of 68.3 and a standard deviation of 17.9 at a confidence level of 99%.Report the margin of error accurate to one decimal place because the sample statistics are presented with this accuracy.E=
