A test on a random sample of 26 tricornes (i.e., pirate hats) yielded a sample average length of 23 inches and a sample standard deviation of 1.5 inches. Assume that tricorne length is normally distributed. How many total samples are needed to construct a 95% confidence interval that differs from the sample mean by at most 0.5 inches?
for 95 % CI value of z= | 1.960 |
standard deviation σ= | 1.50 |
margin of error E = | 0.5 |
required sample size n=(zσ/E)2 = | 35.0 |
A test on a random sample of 26 tricornes (i.e., pirate hats) yielded a sample average...
A test on a random sample of 50 water balloons yielded a sample average weight of 1.2 pounds. Prior studies have shown that the population standard deviation is 0.2 pounds. Assume that water balloon weight is normally distributed. Construct a 95% confidence interval of the population mean?
A random sample of 30 students yielded a mean of x(bar) = 72 and a variance of s2 = 10 for scores on a college placement test in mathematics. Assuming the scores to be normally distributed, construct a 95% confidence interval for σ2. a. [6.34 < σ2 < 18.07] b. [7.38 < σ2 < 20.37] c. [6.72 < σ2 < 19.36] d. [7.61 < σ2 < 21.69]
A random sample of 20 recent weddings in a country yielded a mean wedding cost of $ 26,323.26. Assume that recent wedding costs in this country are normally distributed with a standard deviation of $8400. Complete parts (a) through (c) below. a. Determine a 95% confidence interval for the mean cost, mu, of all recent weddings in this country.
A simple random sample of size n-23 is drawn from a population that is normally distributed. The sample mean is found to be x = 63 and the sample standard deviation is found to be s 18. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
A simple random sample of size n equals = 18 is drawn from a population that is normally distributed. The sample mean is found to be x overbar equals 54 and the sample standard deviation is found to be s equals = 19 Construct a 95% confidence interval about the population mean. The 95% confidence interval is ( _____ , _____ ). (Round to two decimal places as needed.)
A random sample of 20 recent weddings in a country yielded a mean wedding cost of $26,387.22. Assume that recent wedding costs in this country are normally distributed with a standard deviation of $8400. Complete parts (a) through (c) below. a. Determine a 95% confidence interval for the mean cost, u, of all recent weddings in this country. The 95% confidence interval is from $to $ (Round to the nearest cent as needed.) b. Interpret your result in part (a)....
A simple random sample of size nis drawn from a population that is normally distributed the sample mean is found to be 113, and the sample standard deviations, is found to be 10 (a) Construct a 95% confidence interval about if the sample size is 22 (b) Construct a 95% confidence interval about the sample on 26 (c) Construct a 90% confidence interval about the sample size is 22 (d) Could we have computed the confidence intervals in parts(a-c) if...
In a random sample of 26 people, the mean commute time to work was 34.8 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean μ. What is the margin of error of μ? Interpret the results. The confidence interval for the population mean μ is _______ . (Round to one decimal place as needed.) The margin of error of μ is _______ (Round to...
A random sample of 20 recent weddings in a country yielded a mean wedding cost of $26,327.04. Assume that recent wedding costs in this country are normally distributed with a standard deviation of $7700. Complete parts (a) through (c) below. a. Determine a 95% confidence interval for the mean cost, μ, of all recent weddings in this country. The 95% confidence interval is from $___ to $___. b) Interpret your result in part (a). Choose the correct answer below. A.We...
A simple random sample of sirenie drewn from a population that is normally distributed. The sample mean, is found to be 105, and the sample standard deviations, is found to be 10 (a) Construct a 95% confidence interval about if the sample size, n, is 15. (b) Construct a 95% confidence interval about the sample sens 29 (c) Construct a confidence interval about the samples , n, is 15. (d) Could we have computed the confidence intervals in parts (a)(0)...