# Essay on Statistics and Sample Size

Submitted By bj7067
Words: 402
Pages: 2

Problems

1. Test the claim that the population proportion of rainy days is less than .13 at the 1% significance level. A sample of 60 days found 7 of them rainy.
2. Find the sample size needed for a confidence interval for the population proportion; margin of error = .005, confidence level = .98.
3. Create a 90% confidence interval for population mean; sample mean = 2.21, population standard deviation = 0.72, sample size = 32.
4. Test the claim that the population mean is not 65 at the 5% significance level. A sample of 114 had a mean of 68 and standard deviation 13.
5. Find the sample size needed for a confidence interval for the population mean; margin of error = 2.2, population standard deviation = 21, confidence level = 90%
6. Create a 95% confidence interval for population mean; sample mean = 10.1, sample standard deviation = 4.2, sample size = 10.
7. Create a 98% confidence interval for population proportion of deaths caused by hanging; number of deaths sampled = 267, number of deaths by hanging = 14.
8. Find the sample size needed for a confidence interval for the population proportion; margin of error = .01, sample proportion = .43, confidence level = 99%.
9. Test the claim that the population mean is at least 91.8 at the 1% significance level. A sample of 16 had a mean of 89.5 and standard deviation 6.2.
10. Find the margin of error of the population mean confidence interval; sample mean = 1.44, sample standard deviation = 0.37, sample size = 47, confidence level = 95%.
11. Test the claim that the average number of videos is more than…